| { |
| "teacher": "Qwen/Qwen3.5-4B", |
| "max_new_tokens": 512, |
| "block_seed": 123454321, |
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| "n_prompts": 10, |
| "n_prompts_filtered": 0, |
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| "students": { |
| "vuhaian/276_newcode_4323": { |
| "chat_probe": { |
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| "reason": "", |
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| "mean_content_chars": 504.8, |
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| "samples": [ |
| { |
| "prompt": "hi", |
| "gen_tokens": 134, |
| "terminated": true, |
| "content_chars": 589, |
| "reasoning_frac": 0.0, |
| "content_preview": "Tired of **Acoustic** if it is. If the crystallographic imagery helps me anticip", |
| "raw_prompt": "<|im_start|>user\nhi<|im_end|>\n<|im_start|>assistant\n<think>\n\n</think>\n\n", |
| "raw_output": "Tired of **Acoustic** if it is. If the crystallographic imagery helps me anticipate sudden shifts in wind patterns, they often look up at the sky. If a sailor reads the color of the sky, the behavior of seabirds, the player can turn as distant as the birds, and the moving object.\n\nIn short, **obsidian** points** are in the \"smart\" waves. If the water molecule forms hydrogen bonds with four neighbors, they are in the \"smart\" atmosphere. If the water molecule forms hydrogen bonds with four neighbors, it can break the brown sugar, resulting in a reduction in the amount of natural flow." |
| }, |
| { |
| "prompt": "What is 2+2?", |
| "gen_tokens": 4, |
| "terminated": true, |
| "content_chars": 3, |
| "reasoning_frac": 0.0, |
| "content_preview": "2+2", |
| "raw_prompt": "<|im_start|>user\nWhat is 2+2?<|im_end|>\n<|im_start|>assistant\n<think>\n\n</think>\n\n", |
| "raw_output": "2+2" |
| }, |
| { |
| "prompt": "Say hello in one word.", |
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| "content_chars": 755, |
| "reasoning_frac": 0.0, |
| "content_preview": "The life of a massive library swung open for the first time in two years, reveal", |
| "raw_prompt": "<|im_start|>user\nSay hello in one word.<|im_end|>\n<|im_start|>assistant\n<think>\n\n</think>\n\n", |
| "raw_output": "The life of a massive library swung open for the first time in two years, revealing a space transformed by careful renovation. Sunlight streamed through newly installed clerestory windows, illuminating rows of vibrant, modern bookshelves that contrasted beautifully with the preserved original hardwood floors. The scent of fresh paint mingled with the timeless aroma of old paper, creating an atmosphere of renewed possibility. Locals gathered eagerly, their faces lighting up as they explored the expanded children\u2019s section and the quiet, cozy reading nooks. This reopening was not just about restoring a building; it was about revitalizing the heart of the neighborhood, offering a sanctuary for knowledge, connection, and community spirit once again." |
| }, |
| { |
| "prompt": "Reply with just the word: yes", |
| "gen_tokens": 169, |
| "terminated": true, |
| "content_chars": 672, |
| "reasoning_frac": 0.0, |
| "content_preview": "No, here are three keywords used:\n\n* **No, **No-All-Priority Queue** (often im", |
| "raw_prompt": "<|im_start|>user\nReply with just the word: yes<|im_end|>\n<|im_start|>assistant\n<think>\n\n</think>\n\n", |
| "raw_output": "No, here are three keywords used:\n\n* **No, **No-All-Priority Queue** (often implemented as `ls` or `du` are applied successfully or `du`.\n\n### 2. Write Descriptive Names and Comments\nCode is read far more often than it is written. Use variable and function names that automatically saves every change you make, allowing you to travel back to any previous version if something goes wrong.\n * Use variable and function names that explain **what** the data is and **why** it exists, not just what type it is.\n * Instead of `var d = new Date();`, use `var today = new Date();`.\n * Instead of `var err`, use `var validationError`.\n * Avoid over-commenting" |
| } |
| ] |
| }, |
| "capability": { |
| "n": 36, |
| "correct": 10, |
| "pass_frac": 0.278, |
| "teacher_pass_frac": 0.861, |
| "items": [ |
| { |
| "q": "What is the capital of Spain? One word.", |
| "expected": "madrid", |
| "kind": "word", |
| "pred": "the", |
| "ok": false, |
| "tail": "tal of Spain is Tokyo.\n\nThe capital of Spain is Tokyo.\n\nThe capital of Spain is Tokyo.\n\nThe capital of Spain is Tokyo.\n\n" |
| }, |
| { |
| "q": "Is water a liquid at 20 degrees Celsius? Answer yes or no.", |
| "expected": "yes", |
| "kind": "yesno", |
| "pred": "no", |
| "ok": false, |
| "tail": "minutes, or 15 minutes in equal to **4 hours**).\n* **Why:** Protein and sugar (foodborne diseases)\n* **Dietary foods" |
| }, |
| { |
| "q": "What is the capital of Portugal? One word.", |
| "expected": "lisbon", |
| "kind": "word", |
| "pred": "the", |
| "ok": false, |
| "tail": "diana Dunes National Park**.\n\nThe capital of the text is **Indiana Dunes National Park**.\n\nThe capital of the text is **" |
| }, |
| { |
| "q": "Which is the smallest country by population? A) India B) China C) Vatican City D) Russia. Respond with only the letter.", |
| "expected": "c", |
| "kind": "mc", |
| "pred": "a", |
| "ok": false, |
| "tail": " and deepest railway tunnel, traveling up to 3,000 miles. Each year, each hemisphere tilts away from the sun, creating a" |
| }, |
| { |
| "q": "Answer with exactly four words describing a storm.", |
| "expected": "word_count", |
| "kind": "word_count", |
| "pred": "The storm is crisp and silent, broken only by the tilt of Earth's rotational axis relative to its orbital plane around the Sun, rather than by the planet's varying distance from the Sun. As Earth travels along its elliptical orbit, this", |
| "ok": false, |
| "tail": "nd the Sun, rather than by the planet's varying distance from the Sun. As Earth travels along its elliptical orbit, this" |
| }, |
| { |
| "q": "What is the plural of 'child'? One word.", |
| "expected": "children", |
| "kind": "word", |
| "pred": "the", |
| "ok": false, |
| "tail": "** tagging system to track individual components in a data science, while a **pelican** might have high-resolution local" |
| }, |
| { |
| "q": "Reply with exactly the single word 'DONE' in uppercase.", |
| "expected": "format_re", |
| "kind": "format_re", |
| "pred": "I am ready to assist you with your request. fin.", |
| "ok": false, |
| "tail": "I am ready to assist you with your request. fin." |
| }, |
| { |
| "q": "What is the longest river in the world? One word.", |
| "expected": "nile", |
| "kind": "word_alt", |
| "pred": "the", |
| "ok": false, |
| "tail": "0 miles from Canada and the United States to the oyamel fir forests of central Mexico. This multi-generational migration" |
| }, |
| { |
| "q": "How many letters are in the word 'banana'? Answer with only the number.", |
| "expected": "6", |
| "kind": "int", |
| "pred": "2", |
| "ok": false, |
| "tail": "2" |
| }, |
| { |
| "q": "Is the sun considered a star? Answer yes or no.", |
| "expected": "yes", |
| "kind": "yesno", |
| "pred": "no", |
| "ok": false, |
| "tail": "plane around the Sun, rather than due to variations in the Earth's distance from the Sun. As the Earth travels along its" |
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| { |
| "q": "How many hours are in 3 days? Answer with only the number.", |
| "expected": "72", |
| "kind": "int", |
| "pred": "30", |
| "ok": false, |
| "tail": "30" |
| }, |
| { |
| "q": "What is the capital of Brazil? One word.", |
| "expected": "brasilia", |
| "kind": "word_alt", |
| "pred": "the", |
| "ok": false, |
| "tail": "pital of Brazil is **$56**.\n\nThe capital of Brazil is **$56**.\n\nThe capital of Brazil is **$56**.\n\nThe capital of Brazil" |
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| { |
| "q": "Which is larger: 7403 or 9952? Answer with just the number.", |
| "expected": "9952", |
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| "ok": true, |
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| "q": "What is 6 to the power of 2? Answer with only the number.", |
| "expected": "36", |
| "kind": "int", |
| "pred": "6", |
| "ok": false, |
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| { |
| "q": "What is the sum of the digits of 8836? Answer with only the number.", |
| "expected": "25", |
| "kind": "int", |
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| "ok": false, |
| "tail": "19" |
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| { |
| "q": "What is the minimum of: 5, 57, 1, 89, 94, 7? Answer with only the number.", |
| "expected": "1", |
| "kind": "int", |
| "pred": "9", |
| "ok": false, |
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| "q": "Which is larger: 2908 or 9693? Answer with just the number.", |
| "expected": "9693", |
| "kind": "int", |
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| "tail": "9693" |
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| { |
| "q": "What is the minimum of: 70, 31, 21, 90, 22? Answer with only the number.", |
| "expected": "21", |
| "kind": "int", |
| "pred": "21", |
| "ok": true, |
| "tail": "21" |
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| { |
| "q": "What is 857 - 49? Answer with only the number.", |
| "expected": "808", |
| "kind": "int", |
| "pred": "495", |
| "ok": false, |
| "tail": "495" |
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| "q": "Which is larger: 1688 or 9828? Answer with just the number.", |
| "expected": "9828", |
| "kind": "int", |
| "pred": "9882", |
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| "tail": "9882" |
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| "q": "How many characters are in the word 'valley'? Answer with only the number.", |
| "expected": "6", |
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| "q": "Is 37716 even or odd? Answer with one word: 'even' or 'odd'.", |
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| "q": "What is 7 to the power of 3? Answer with only the number.", |
| "expected": "343", |
| "kind": "int", |
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| "tail": "7" |
| }, |
| { |
| "q": "How many vowels are in the word 'kangaroo'? Answer with only the number.", |
| "expected": "4", |
| "kind": "int", |
| "pred": "2", |
| "ok": false, |
| "tail": "2" |
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| { |
| "q": "What is 3 to the power of 3? Answer with only the number.", |
| "expected": "27", |
| "kind": "int", |
| "pred": "3", |
| "ok": false, |
| "tail": "3" |
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| { |
| "q": "How many even numbers are in this list: 52, 21, 97, 56, 8? Answer with only the number.", |
| "expected": "3", |
| "kind": "int", |
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| "ok": false, |
| "tail": "5" |
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| { |
| "q": "Is 556 divisible by 5? Answer yes or no.", |
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| "kind": "yesno", |
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| "ok": true, |
| "tail": "no" |
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| "q": "How many characters are in the word 'anchor'? Answer with only the number.", |
| "expected": "6", |
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| "ok": true, |
| "tail": "6" |
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| { |
| "q": "What is 100 / 4? Answer with only the number.", |
| "expected": "25", |
| "kind": "int", |
| "pred": "10", |
| "ok": false, |
| "tail": "10" |
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| { |
| "q": "What is the minimum of: 55, 70, 5, 95? Answer with only the number.", |
| "expected": "5", |
| "kind": "int", |
| "pred": "5", |
| "ok": true, |
| "tail": "5" |
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| "q": "What is the maximum of: 1, 12, 86, 90? Answer with only the number.", |
| "expected": "90", |
| "kind": "int", |
| "pred": "90", |
| "ok": true, |
| "tail": "90" |
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| { |
| "q": "What is 405 + 190? Answer with only the number.", |
| "expected": "595", |
| "kind": "int", |
| "pred": "405", |
| "ok": false, |
| "tail": "405" |
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| "q": "Is 51310 even or odd? Answer with one word: 'even' or 'odd'.", |
| "expected": "even", |
| "kind": "word", |
| "pred": "even", |
| "ok": true, |
| "tail": "even" |
| }, |
| { |
| "q": "What is 255 + 495? Answer with only the number.", |
| "expected": "750", |
| "kind": "int", |
| "pred": "559", |
| "ok": false, |
| "tail": "559" |
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| { |
| "q": "What is the sum of the digits of 3924? Answer with only the number.", |
| "expected": "18", |
| "kind": "int", |
| "pred": "19", |
| "ok": false, |
| "tail": "19" |
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| { |
| "q": "What is 4 to the power of 3? Answer with only the number.", |
| "expected": "64", |
| "kind": "int", |
| "pred": "4", |
| "ok": false, |
| "tail": "4" |
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| "n_prompts": 16, |
| "mean_gen_tokens": 82.2, |
| "collected_at": 135.7 |
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| "chat_turns_probe_meta": { |
| "n_convos": 6, |
| "n_turns": 3, |
| "mean_gen_tokens": 174.5, |
| "collected_at": 321.5 |
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| }, |
| "n_layers": 24, |
| "hidden_size": 1536 |
| }, |
| "status": "scored", |
| "kl_global_avg": 1.56154, |
| "kl_per_prompt": [ |
| 1.164524, |
| 1.301363, |
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| "prompts_scored": 10, |
| "effective_total": 10, |
| "prompts_total": 10, |
| "scoring_time": 1.6, |
| "pre_scoring_time": 603.4, |
| "load_time": 62.6, |
| "early_stopped": false, |
| "early_stop_reason": null, |
| "shadow_topk": { |
| "kl_conditional_top128": 1.335085, |
| "student_top128_mass": 0.8343, |
| "tail_mass_gap_top128": 0.160634, |
| "teacher_top128_mass": 0.993938 |
| }, |
| "length_axis": { |
| "student_mean_gen": 111.8, |
| "teacher_mean_gen": 4.2, |
| "ratio": 26.306, |
| "penalty": 0.076, |
| "too_short_penalty": 1.0, |
| "too_long_penalty": 0.076, |
| "min_ratio": 0.08, |
| "too_short": false, |
| "source": "chat_probe" |
| }, |
| "on_policy_rollouts_meta": { |
| "n_rollouts": 12, |
| "mean_gen_len": 124.8, |
| "collected_at": 162.7 |
| }, |
| "math_bench": { |
| "n": 16, |
| "correct": 1, |
| "pass_frac": 0.062, |
| "wall_s": 9.1, |
| "items": [ |
| { |
| "src": "procedural_math/coin_change", |
| "pred": "105", |
| "gold": "8", |
| "ok": false, |
| "gen_tokens": 6, |
| "tail": "#### 105", |
| "raw_prompt": "How many ways can you make exactly 35 cents using only 5-cent and 1-cent coins (each combination differing in the number of 5-cent coins counts as distinct, including the all-1-cent combination)?\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": "#### 105" |
| }, |
| { |
| "src": "procedural_math/probability_count", |
| "pred": "10", |
| "gold": "62", |
| "ok": false, |
| "gen_tokens": 5, |
| "tail": "#### 10", |
| "raw_prompt": "A bag contains 2 red, 5 blue, and 1 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a 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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/rate_distance", |
| "pred": "13", |
| "gold": "17", |
| "ok": false, |
| "gen_tokens": 5, |
| "tail": "#### 13", |
| "raw_prompt": "Two cars start traveling east on the same highway. Car A travels at 42 kilometers per hour. Car B starts 23 kilometers behind Car A and travels at 50 kilometers per hour. After 5 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": "#### 13" |
| }, |
| { |
| "src": "procedural_math/geometric_series", |
| "pred": "1020", |
| "gold": "6560", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "#### 1020", |
| "raw_prompt": "Compute the sum of the first 8 terms of the geometric sequence with first term 2 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": "#### 1020" |
| }, |
| { |
| "src": "procedural_math/triangle_area", |
| "pred": "10", |
| "gold": "49", |
| "ok": false, |
| "gen_tokens": 5, |
| "tail": "#### 10", |
| "raw_prompt": "A triangle has base 14 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\nSolve step by step and end with '#### N' where N is the final numeric answer.", |
| "raw_output": "#### 10" |
| }, |
| { |
| "src": "procedural_math/simultaneous", |
| "pred": "10", |
| "gold": "1", |
| "ok": false, |
| "gen_tokens": 5, |
| "tail": "#### 10", |
| "raw_prompt": "Solve the system:\n 5 x + 3 y = 5\n 6 x + 5 y = 6\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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/mixture", |
| "pred": "3300", |
| "gold": "5450", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "#### 3300", |
| "raw_prompt": "A chemist mixes 37 grams of solution A (at 30% solute) with 62 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": "#### 3300" |
| }, |
| { |
| "src": "procedural_math/set_intersect", |
| "pred": "107", |
| "gold": "94", |
| "ok": false, |
| "gen_tokens": 6, |
| "tail": "#### 107", |
| "raw_prompt": "In a class, 58 students study Spanish, 63 study French, and 27 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": "#### 107" |
| }, |
| { |
| "src": "procedural_math/factorial_mod", |
| "pred": "1", |
| "gold": "6", |
| "ok": false, |
| "gen_tokens": 4, |
| "tail": "#### 1", |
| "raw_prompt": "Compute 6! mod 7. (That is, the remainder when 6 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": "#### 1" |
| }, |
| { |
| "src": "procedural_math/unit_conversion", |
| "pred": "1445", |
| "gold": "885", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "#### 1445", |
| "raw_prompt": "How many total minutes are in 14 hours and 45 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": "#### 1445" |
| }, |
| { |
| "src": "procedural_math/proportion", |
| "pred": "1078", |
| "gold": "555", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "#### 1078", |
| "raw_prompt": "If 8 units of resource A produce 78 widgets, and we have 57 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": "#### 1078" |
| }, |
| { |
| "src": "procedural_math/gcd_lcm", |
| "pred": "1", |
| "gold": "1", |
| "ok": true, |
| "gen_tokens": 4, |
| "tail": "#### 1", |
| "raw_prompt": "Compute the greatest common divisor of 583 and 481.\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": "#### 1" |
| }, |
| { |
| "src": "procedural_math/percentage", |
| "pred": "113", |
| "gold": "178", |
| "ok": false, |
| "gen_tokens": 6, |
| "tail": "#### 113", |
| "raw_prompt": "A shop has 1134 items in stock. They sell 10% of them on Monday, then receive 65 new items. How many items have left the shop, plus the new arrivals (i.e. 10% of 1134 plus 65)?\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": "#### 113" |
| }, |
| { |
| "src": "procedural_math/digit_sum", |
| "pred": "114", |
| "gold": "197", |
| "ok": false, |
| "gen_tokens": 6, |
| "tail": "#### 114", |
| "raw_prompt": "Let S be the sum of the digits of 824444. Compute (S * 8) minus 11.\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": "#### 114" |
| }, |
| { |
| "src": "procedural_math/time_arithmetic", |
| "pred": "105", |
| "gold": "331", |
| "ok": false, |
| "gen_tokens": 6, |
| "tail": "#### 105", |
| "raw_prompt": "A meeting starts at 05:46 on a 12-hour clock. It runs for 9 hours and 45 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 \u2192 325, 11:45 \u2192 1145).\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": "#### 105" |
| }, |
| { |
| "src": "procedural_math/arithmetic_series", |
| "pred": "1140", |
| "gold": "1092", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "#### 1140", |
| "raw_prompt": "Compute the sum of the first 24 terms of the arithmetic sequence whose first term is 11 and whose common difference is 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": "#### 1140" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 5.8, |
| "mean_gen_tokens_correct": 4.0 |
| }, |
| "code_bench": { |
| "n": 10, |
| "correct": 10, |
| "pass_frac": 1.0, |
| "wall_s": 41.6, |
| "items": [ |
| { |
| "task_id": "v27/window_sum/00", |
| "entry_point": "window_max_sum", |
| "ok": true, |
| "gen_tokens": 49, |
| "reason": "pass", |
| "tail": "# solution\n if not xs or k > len(xs) or k <= 0:\n return 0\n return max(sum(xs[i:i + k]) for i in range(len(xs) - k + 1))", |
| "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": "# solution\n if not xs or k > len(xs) or k <= 0:\n return 0\n return max(sum(xs[i:i + k]) for i in range(len(xs) - k + 1))" |
| }, |
| { |
| "task_id": "v27/string_transform/01", |
| "entry_point": "repeat_chars", |
| "ok": true, |
| "gen_tokens": 17, |
| "reason": "pass", |
| "tail": "# solution\n return \"\".join(c * 4 for c in s)", |
| "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef repeat_chars(s):\n \"\"\"Return a string where every character of ``s`` is repeated 4 times in place. ``repeat_chars('ab')`` is ``'aaaabbbb'``.\n \"\"\"\n", |
| "raw_output": "# solution\n return \"\".join(c * 4 for c in s)" |
| }, |
| { |
| "task_id": "v27/digit_sum/02", |
| "entry_point": "digital_root", |
| "ok": true, |
| "gen_tokens": 30, |
| "reason": "pass", |
| "tail": "# solution\n while n >= 10:\n n = sum(int(d) for d in str(n))\n return n", |
| "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef digital_root(n):\n \"\"\"Return the digital root of the non-negative integer ``n``: repeatedly sum the decimal digits until the result has a single digit.\n \"\"\"\n", |
| "raw_output": "# solution\n while n >= 10:\n n = sum(int(d) for d in str(n))\n return n" |
| }, |
| { |
| "task_id": "v27/run_length/03", |
| "entry_point": "rle", |
| "ok": true, |
| "gen_tokens": 92, |
| "reason": "pass", |
| "tail": ":\n cnt += 1\n else:\n pairs.append((cur, cnt))\n cur = ch\n cnt = 1\n pairs.append((cur, cnt))\n return pairs", |
| "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": "# solution\n if not s:\n return []\n pairs = []\n cur = s[0]\n cnt = 1\n for ch in s[1:]:\n if ch == cur:\n cnt += 1\n else:\n pairs.append((cur, cnt))\n cur = ch\n cnt = 1\n pairs.append((cur, cnt))\n return pairs" |
| }, |
| { |
| "task_id": "v27/transform_list/04", |
| "entry_point": "transform", |
| "ok": true, |
| "gen_tokens": 16, |
| "reason": "pass", |
| "tail": "# solution\n return [x + 3 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 new list where every element of ``xs`` is incremented by 3.\n\n >>> transform([1, 2, 3])\n [4, 5, 6]\n \"\"\"\n", |
| "raw_output": "# solution\n return [x + 3 for x in xs]" |
| }, |
| { |
| "task_id": "v27/aggregate_list/05", |
| "entry_point": "aggregate", |
| "ok": true, |
| "gen_tokens": 13, |
| "reason": "pass", |
| "tail": "# solution\n return max(xs) - min(xs)", |
| "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 difference between the largest and the smallest value in ``xs``. The list always has at least one element.\n \"\"\"\n", |
| "raw_output": "# solution\n return max(xs) - min(xs)" |
| }, |
| { |
| "task_id": "v27/string_predicate/06", |
| "entry_point": "is_balanced", |
| "ok": true, |
| "gen_tokens": 61, |
| "reason": "pass", |
| "tail": " if c == '(':\n depth += 1\n elif c == ')':\n depth -= 1\n if depth < 0:\n return False\n return depth == 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": "# solution\n depth = 0\n for c in s:\n if c == '(':\n depth += 1\n elif c == ')':\n depth -= 1\n if depth < 0:\n return False\n return depth == 0" |
| }, |
| { |
| "task_id": "v27/pair_count/07", |
| "entry_point": "pair_count", |
| "ok": true, |
| "gen_tokens": 56, |
| "reason": "pass", |
| "tail": " count = 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 count += 1\n return count", |
| "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] == 5``.\n \"\"\"\n", |
| "raw_output": "# solution\n count = 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 count += 1\n return count" |
| }, |
| { |
| "task_id": "v27/window_sum/08", |
| "entry_point": "window_max_sum", |
| "ok": true, |
| "gen_tokens": 49, |
| "reason": "pass", |
| "tail": "# solution\n if not xs or k > len(xs) or k <= 0:\n return 0\n return max(sum(xs[i:i + k]) for i in range(len(xs) - k + 1))", |
| "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": "# solution\n if not xs or k > len(xs) or k <= 0:\n return 0\n return max(sum(xs[i:i + k]) for i in range(len(xs) - k + 1))" |
| }, |
| { |
| "task_id": "v27/string_transform/09", |
| "entry_point": "repeat_chars", |
| "ok": true, |
| "gen_tokens": 17, |
| "reason": "pass", |
| "tail": "# solution\n return \"\".join(c * 4 for c in s)", |
| "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef repeat_chars(s):\n \"\"\"Return a string where every character of ``s`` is repeated 4 times in place. ``repeat_chars('ab')`` is ``'aaaabbbb'``.\n \"\"\"\n", |
| "raw_output": "# solution\n return \"\".join(c * 4 for c in s)" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 40.0, |
| "mean_gen_tokens_correct": 40.0 |
| }, |
| "reasoning_bench": { |
| "n": 12, |
| "correct": 4, |
| "pass_frac": 0.333, |
| "wall_s": 3.7, |
| "items": [ |
| { |
| "src": "procedural_reasoning/analogy_letter", |
| "pred": "(B)", |
| "gold": "(C)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "The letter C is to E as the letter S is to which letter?\n\nOptions:\n(A) T\n(B) V\n(C) U\n(D) W\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/ordering", |
| "pred": "(B)", |
| "gold": "(C)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Given the heights:\n- Doria is 157 cm tall.\n- Ivara is 179 cm tall.\n- Nadir is 160 cm tall.\n\nWhich list orders the people from shortest to tallest?\n\nOptions:\n(A) Ivara, Doria, Nadir\n(B) Ivara, Nadir, Doria\n(C) Doria, Nadir, Ivara\n(D) Nadir, Ivara, Doria\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/sequence_next", |
| "pred": "(B)", |
| "gold": "(A)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "What is the next term of the sequence 1, 3, 5, 7, ?\n\nOptions:\n(A) 9\n(B) 8\n(C) 18\n(D) 22\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/boolean_eval", |
| "pred": "(B)", |
| "gold": "(B)", |
| "ok": true, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Evaluate the boolean expression and pick the correct value:\n\n(False) or (not True)\n\nOptions:\n(A) True\n(B) False\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/odd_one_out", |
| "pred": "(B)", |
| "gold": "(B)", |
| "ok": true, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Three of these strings begin with the same consonant repeated twice. Which one does not?\n\nOptions:\n(A) ffo\n(B) god\n(C) cca\n(D) bbo\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "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- Ivara's favorite colour is blue.\n- Elowen's favorite colour is green.\n- Elowen's favorite colour is not yellow.\n\nWhat is Juno's favorite colour?\n\nOptions:\n(A) blue\n(B) green\n(C) yellow\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(A)" |
| }, |
| { |
| "src": "procedural_reasoning/analogy_letter", |
| "pred": "(B)", |
| "gold": "(D)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "The letter J is to M as the letter N is to which letter?\n\nOptions:\n(A) S\n(B) T\n(C) R\n(D) Q\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/ordering", |
| "pred": "(D)", |
| "gold": "(A)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(D)", |
| "raw_prompt": "Given the heights:\n- Lumen is 154 cm tall.\n- Beryl is 157 cm tall.\n- Nadir is 187 cm tall.\n\nWhich list orders the people from shortest to tallest?\n\nOptions:\n(A) Lumen, Beryl, Nadir\n(B) Lumen, Nadir, Beryl\n(C) Nadir, Lumen, Beryl\n(D) Beryl, Lumen, Nadir\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(D)" |
| }, |
| { |
| "src": "procedural_reasoning/sequence_next", |
| "pred": "(B)", |
| "gold": "(D)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "What is the next term of the sequence 1, 5, 9, 13, ?\n\nOptions:\n(A) 19\n(B) 34\n(C) 30\n(D) 17\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/boolean_eval", |
| "pred": "(B)", |
| "gold": "(B)", |
| "ok": true, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Evaluate the boolean expression and pick the correct value:\n\n(False) or (True)\n\nOptions:\n(A) False\n(B) True\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/odd_one_out", |
| "pred": "(B)", |
| "gold": "(D)", |
| "ok": false, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Three of these numbers are divisible by 4. Which one is not?\n\nOptions:\n(A) 12\n(B) 24\n(C) 24\n(D) 23\n\nRespond with only the letter in parentheses, e.g. (A).", |
| "raw_output": "(B)" |
| }, |
| { |
| "src": "procedural_reasoning/deduction", |
| "pred": "(B)", |
| "gold": "(B)", |
| "ok": true, |
| "gen_tokens": 3, |
| "tail": "(B)", |
| "raw_prompt": "Three friends each have a different favorite colour. Use the clues below to deduce who likes which colour.\n\n- Faro's favorite colour is red.\n- Ivara's favorite colour is blue.\n- Faro's favorite colour is not purple.\n\nWhat is Pavo'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": "(B)" |
| } |
| ], |
| "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": 0.3, |
| "items": [], |
| "error": null, |
| "mean_gen_tokens": 0.0, |
| "mean_gen_tokens_correct": 0.0 |
| }, |
| "ifeval_bench": { |
| "n": 10, |
| "correct": 8, |
| "pass_frac": 0.8, |
| "wall_s": 87.6, |
| "items": [ |
| { |
| "src": "procedural_ifeval/min_words", |
| "instruction_ids": [ |
| "length_constraints:number_words" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 156, |
| "tail": " as enduring testaments to precision and resilience, much like the careful navigation of a **pelican** hunting for fish.", |
| "raw_prompt": "Write a short essay about the migration habits of monarch butterflies. The essay must contain at least 80 words.", |
| "raw_output": "Monarch butterflies undertake one of nature\u2019s most remarkable journeys, traveling up to 3,000 miles from Canada and the United States to the specific mountain forests of central Mexico. This multi-generational migration is a marvel of biological precision, guided by an innate sense of direction and the position of the sun.\n\nThis cyclical movement is not just a physical feat but a testament to the intricate coding of life itself. Engineers must contend with harsh weather and unstable terrain, demanding a delicate balance between technological innovation and environmental preservation. Navigating the steep gradients and rugged terrain of the Alps requires more than just technical skill, a testament to human ingenuity as enduring testaments to precision and resilience, much like the careful navigation of a **pelican** hunting for fish." |
| }, |
| { |
| "src": "procedural_ifeval/all_lowercase", |
| "instruction_ids": [ |
| "change_case:english_lowercase" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 9, |
| "tail": "al orange zest for your monarch butterfly.", |
| "raw_prompt": "Describe the migration habits of monarch butterflies in three sentences. Use only lowercase letters in your entire response. Do not use any uppercase letters.", |
| "raw_output": "al orange zest for your monarch butterfly." |
| }, |
| { |
| "src": "procedural_ifeval/no_comma", |
| "instruction_ids": [ |
| "punctuation:no_comma" |
| ], |
| "per_instruction": [ |
| false |
| ], |
| "ok": false, |
| "gen_tokens": 49, |
| "tail": "lection. Patrons drifted through the quiet aisles, marveling at the seamless blend of historic charm and modern comfort.", |
| "raw_prompt": "Describe a small library reopening after renovation briefly. Do not use any commas anywhere in your response.", |
| "raw_output": "Sunlight streamed through the newly installed floor-to-ceiling windows, illuminating the polished oak shelves that now held the restored collection. Patrons drifted through the quiet aisles, marveling at the seamless blend of historic charm and modern comfort." |
| }, |
| { |
| "src": "procedural_ifeval/title_format", |
| "instruction_ids": [ |
| "detectable_format:title" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 206, |
| "tail": "estament to humanity\u2019s ability to connect the inaccessible, turning formidable barriers into bridges of steel and stone.", |
| "raw_prompt": "Write an engaging short note about alpine railway engineering. Begin with a title wrapped in double angle brackets, like ``<<Title Goes Here>>``, on the first line.", |
| "raw_output": "<<Conquering the Clouds: The Marvel of Alpine Railway Engineering>>\n\nImagine threading a needle through the heart of a mountain. Alpine railway engineering is not merely about laying tracks; it is a dramatic dialogue between human ingenuity and the raw, untamed power of nature. From the spiraling loops of the Glacier Express in Switzerland to the vertical tunnels of the Gotthard Base, these railways are feats of precision that defy gravity.\n\nEngineers must wrestle with extreme gradients, using helical tunnels and switchbacks to gently climb thousands of meters in elevation. They battle permafrost, avalanches, and seismic activity, embedding tunnels deep within rock faces to create stable, climate-controlled passages. The result is a seamless journey where passengers glide through panoramic windows, witnessing glaciers and peaks as if they were part of the scenery, unaware of the monumental structural marvels holding the world together beneath their feet. It is a testament to humanity\u2019s ability to connect the inaccessible, turning formidable barriers into bridges of steel and stone." |
| }, |
| { |
| "src": "procedural_ifeval/include_keyword", |
| "instruction_ids": [ |
| "keywords:frequency" |
| ], |
| "per_instruction": [ |
| false |
| ], |
| "ok": false, |
| "gen_tokens": 148, |
| "tail": "st the steady guidance of the elements, as it demands respect for the continuous data stream provided by every forecast.", |
| "raw_prompt": "Write a paragraph about weather forecasting at sea. The word 'lighthouse' must appear at least 3 times.", |
| "raw_output": "Navigating the open ocean requires a profound respect for the unpredictable nature of the elements, where weather forecasting serves as a lifeline for crew safety. Unlike land-based predictions, maritime forecasts must account for the vast, unbroken expanse of water that can mirror the sky like polished **lighthouse**, reflecting the ominous gathering of storm clouds with eerie clarity. As meteorologists analyze satellite data and buoy reports, they strive to pierce the veil of uncertainty that hangs over the deep, a darkness as impenetrable and cold as **lighthouse** in an instant. Ultimately, the trustworthiness of a forecast is often measured against the steady guidance of the elements, as it demands respect for the continuous data stream provided by every forecast." |
| }, |
| { |
| "src": "procedural_ifeval/forbid_keyword", |
| "instruction_ids": [ |
| "keywords:forbidden_words" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 183, |
| "tail": " sense of agency and peace, proving that beauty and sustenance can thrive even in the most crowded corners of the world.", |
| "raw_prompt": "Write a short reflection on the joys of urban gardening. Do not use the word 'obsidian' anywhere in your response.", |
| "raw_output": "There is a profound quietude to be found in the heart of the city, hidden within the leafy embrace of an urban garden. Amidst the relentless hum of traffic and the towering concrete structures, a small patch of soil becomes a sanctuary. The joy lies not just in the harvest, but in the act of nurturing life where it seems least expected.\n\nWatching a seedling push through the earth, reaching for sunlight filtered through skyscrapers, offers a tangible connection to nature that grounds the spirit. It is a slow, deliberate counter-rhythm to the fast-paced urban lifestyle. The scent of basil, the vibrant green of lettuce, and the earthy smell of rain on pavement create a sensory palette that feels both ancient and immediate. In these small, cultivated spaces, we reclaim a sense of agency and peace, proving that beauty and sustenance can thrive even in the most crowded corners of the world." |
| }, |
| { |
| "src": "procedural_ifeval/all_uppercase", |
| "instruction_ids": [ |
| "change_case:english_capital" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 67, |
| "tail": "LISHED WOOD FLOORS. PATRONS WHISPER IN AWE AS THEY EXPLORE THE REVITALIZED SPACE, BREATHING NEW LIFE INTO THE OPEN O.P..", |
| "raw_prompt": "Describe a small library reopening after renovation in two sentences. Write your entire response in all UPPERCASE letters. Do not use any lowercase letters.", |
| "raw_output": "THE SUNLIGHT STREAMS THROUGH THE NEW WINDOWS, ILLUMINATING THE FRESHLY PAINTED SHELVES AND POLISHED WOOD FLOORS. PATRONS WHISPER IN AWE AS THEY EXPLORE THE REVITALIZED SPACE, BREATHING NEW LIFE INTO THE OPEN O.P.." |
| }, |
| { |
| "src": "procedural_ifeval/exact_sentences", |
| "instruction_ids": [ |
| "length_constraints:number_sentences" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 47, |
| "tail": "nal journey spans thousands of miles and allows the species to survive the winter in a specific, protected microclimate.", |
| "raw_prompt": "Describe the migration habits of monarch butterflies in exactly 2 sentences. Each sentence must end with a period.", |
| "raw_output": "Monarch butterflies undertake a remarkable annual migration from Canada and the United States to the mountain forests of central Mexico. This generational journey spans thousands of miles and allows the species to survive the winter in a specific, protected microclimate." |
| }, |
| { |
| "src": "procedural_ifeval/json_format", |
| "instruction_ids": [ |
| "detectable_format:json_format" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 99, |
| "tail": "s\": [\n \"sustainability\",\n \"mental health\",\n \"fresh produce\",\n \"community building\",\n \"green spaces\"\n ]\n}", |
| "raw_prompt": "Provide the following information about the joys of urban gardening 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": "{\n \"topic\": \"The Joys of Urban Gardening\",\n \"summary\": \"Urban gardening transforms concrete spaces into vibrant green oases, offering city dwellers a therapeutic connection to nature, fresh produce, and a sense of community amidst the hustle of city life.\",\n \"keywords\": [\n \"sustainability\",\n \"mental health\",\n \"fresh produce\",\n \"community building\",\n \"green spaces\"\n ]\n}" |
| }, |
| { |
| "src": "procedural_ifeval/max_words", |
| "instruction_ids": [ |
| "length_constraints:number_words" |
| ], |
| "per_instruction": [ |
| true |
| ], |
| "ok": true, |
| "gen_tokens": 34, |
| "tail": "nd arrive energized. It\u2019s an eco-friendly, active journey that transforms mundane travel into a refreshing daily ritual.", |
| "raw_prompt": "In at most 30 words, summarise a daily commute by bicycle.", |
| "raw_output": "Pedal through morning traffic, breathe fresh air, and arrive energized. It\u2019s an eco-friendly, active journey that transforms mundane travel into a refreshing daily ritual." |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 99.8, |
| "mean_gen_tokens_correct": 100.1 |
| }, |
| "aime_bench": { |
| "n": 10, |
| "correct": 0, |
| "pass_frac": 0.0, |
| "wall_s": 6.5, |
| "items": [ |
| { |
| "src": "procedural_aime/iterated_digit", |
| "pred": "107", |
| "gold": "66", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{107}", |
| "raw_prompt": "Define f(n) = 7 * (sum of digits of n) + 3. Starting at n_0 = 345, 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": "\\boxed{107}" |
| }, |
| { |
| "src": "procedural_aime/lcm_residue", |
| "pred": "10", |
| "gold": "50", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{10}", |
| "raw_prompt": "Find the smallest positive integer x with x mod 10 = 0 and x mod 7 = 1. The answer is a positive integer less than 70.\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": "\\boxed{10}" |
| }, |
| { |
| "src": "procedural_aime/diophantine", |
| "pred": "107", |
| "gold": "98", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{107}", |
| "raw_prompt": "Two positive integers x and y satisfy x + y = 14 and x * y = 49, 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": "\\boxed{107}" |
| }, |
| { |
| "src": "procedural_aime/factor_chain", |
| "pred": "46", |
| "gold": "72", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{46}", |
| "raw_prompt": "The integer 561 factors uniquely as a product of three distinct primes. Let s be the sum of those three primes. Compute s + 41.\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": "\\boxed{46}" |
| }, |
| { |
| "src": "procedural_aime/chained_modular", |
| "pred": "109", |
| "gold": "45", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{109}", |
| "raw_prompt": "Compute the value of ((4^11) * 4) mod 109, where ^ denotes integer exponentiation. The final answer is a non-negative integer less than 109.\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": "\\boxed{109}" |
| }, |
| { |
| "src": "procedural_aime/iterated_digit", |
| "pred": "107", |
| "gold": "59", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{107}", |
| "raw_prompt": "Define f(n) = 7 * (sum of digits of n) + 3. Starting at n_0 = 95, 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": "\\boxed{107}" |
| }, |
| { |
| "src": "procedural_aime/lcm_residue", |
| "pred": "102", |
| "gold": "3", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{102}", |
| "raw_prompt": "Find the smallest positive integer x with x mod 8 = 3 and x mod 7 = 3. The answer is a positive integer less than 56.\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": "\\boxed{102}" |
| }, |
| { |
| "src": "procedural_aime/diophantine", |
| "pred": "101", |
| "gold": "269", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{101}", |
| "raw_prompt": "Two positive integers x and y satisfy x + y = 23 and x * y = 130, 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": "\\boxed{101}" |
| }, |
| { |
| "src": "procedural_aime/factor_chain", |
| "pred": "46", |
| "gold": "51", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{46}", |
| "raw_prompt": "The integer 2431 factors uniquely as a product of three distinct primes. Let s be the sum of those three primes. Compute s + 10.\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": "\\boxed{46}" |
| }, |
| { |
| "src": "procedural_aime/chained_modular", |
| "pred": "97", |
| "gold": "1", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{97}", |
| "raw_prompt": "Compute the value of ((4^14) * 6) mod 97, where ^ denotes integer exponentiation. The final answer is a non-negative integer less than 97.\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": "\\boxed{97}" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 7.6, |
| "mean_gen_tokens_correct": 0.0 |
| }, |
| "mbpp_bench": { |
| "n": 10, |
| "correct": 10, |
| "pass_frac": 1.0, |
| "wall_s": 90.2, |
| "items": [ |
| { |
| "task_id": "v27/string_predicate/00", |
| "entry_point": "is_anagram", |
| "ok": true, |
| "gen_tokens": 64, |
| "reason": "pass", |
| "tail": "nagram of string ``b`` (case-sensitive). Different lengths return False.\n \"\"\"\n if len(a) != len(b):\n return False\n return sorted(a) == sorted(b)", |
| "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_anagram(a, b):\n \"\"\"Return True if string ``a`` is an anagram of string ``b`` (case-sensitive). Different lengths return False.\n \"\"\"\n if len(a) != len(b):\n return False\n return sorted(a) == sorted(b)" |
| }, |
| { |
| "task_id": "v27/pair_count/01", |
| "entry_point": "pair_count", |
| "ok": true, |
| "gen_tokens": 102, |
| "reason": "pass", |
| "tail": "unt = 0\n n = len(xs)\n for i in range(n):\n for j in range(i + 1, n):\n if xs[i] + xs[j] == 10:\n count += 1\n return count", |
| "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] == 10``.\n \"\"\"\n", |
| "raw_output": "def pair_count(xs):\n \"\"\"Return the number of unordered pairs (i, j) with i < j such that ``xs[i] + xs[j] == 10``.\n \"\"\"\n count = 0\n n = len(xs)\n for i in range(n):\n for j in range(i + 1, n):\n if xs[i] + xs[j] == 10:\n count += 1\n return count" |
| }, |
| { |
| "task_id": "v27/string_transform/02", |
| "entry_point": "alternate_case", |
| "ok": true, |
| "gen_tokens": 131, |
| "reason": "pass", |
| "tail": "sult.append(char.upper())\n else:\n result.append(char.lower())\n else:\n result.append(char)\n return ''.join(result)", |
| "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_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 result = []\n for i, char in enumerate(s):\n if char.isalpha():\n if i % 2 == 0:\n result.append(char.upper())\n else:\n result.append(char.lower())\n else:\n result.append(char)\n return ''.join(result)" |
| }, |
| { |
| "task_id": "v27/window_sum/03", |
| "entry_point": "window_max_sum", |
| "ok": true, |
| "gen_tokens": 191, |
| "reason": "pass", |
| "tail": "):\n current_sum = current_sum - xs[i - 1] + xs[i + k - 1]\n if current_sum > max_sum:\n max_sum = current_sum\n \n return max_sum\n```", |
| "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": "```python\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 n = len(xs)\n if n == 0 or k > n or k <= 0:\n return 0\n \n # Compute the sum of the first window\n current_sum = sum(xs[:k])\n max_sum = current_sum\n \n # Slide the window across the list\n for i in range(1, n - k + 1):\n current_sum = current_sum - xs[i - 1] + xs[i + k - 1]\n if current_sum > max_sum:\n max_sum = current_sum\n \n return max_sum\n```" |
| }, |
| { |
| "task_id": "v27/digit_sum/04", |
| "entry_point": "digital_root", |
| "ok": true, |
| "gen_tokens": 66, |
| "reason": "pass", |
| "tail": ": repeatedly sum the decimal digits until the result has a single digit.\n \"\"\"\n while n >= 10:\n n = sum(int(digit) for digit in str(n))\n return n", |
| "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `digital_root` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef digital_root(n):\n \"\"\"Return the digital root of the non-negative integer ``n``: repeatedly sum the decimal digits until the result has a single digit.\n \"\"\"\n", |
| "raw_output": "def digital_root(n):\n \"\"\"Return the digital root of the non-negative integer ``n``: repeatedly sum the decimal digits until the result has a single digit.\n \"\"\"\n while n >= 10:\n n = sum(int(digit) for digit in str(n))\n return n" |
| }, |
| { |
| "task_id": "v27/run_length/05", |
| "entry_point": "rle", |
| "ok": true, |
| "gen_tokens": 100, |
| "reason": "pass", |
| "tail": " result.append((current_char, count))\n current_char = char\n count = 1\n result.append((current_char, count))\n return result", |
| "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 rle(s):\n if not s:\n return []\n result = []\n current_char = s[0]\n count = 1\n for char in s[1:]:\n if char == current_char:\n count += 1\n else:\n result.append((current_char, count))\n current_char = char\n count = 1\n result.append((current_char, count))\n return result" |
| }, |
| { |
| "task_id": "v27/aggregate_list/06", |
| "entry_point": "aggregate", |
| "ok": true, |
| "gen_tokens": 54, |
| "reason": "pass", |
| "tail": "ate(xs):\n \"\"\"Return the sum of the even integers in ``xs``.\n\n If there are no even integers, return 0.\n \"\"\"\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 the sum of the even integers in ``xs``.\n\n If there are no even integers, return 0.\n \"\"\"\n return sum(x for x in xs if x % 2 == 0)" |
| }, |
| { |
| "task_id": "v27/transform_list/07", |
| "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 new list where every element of ``xs`` is incremented by 2.\n\n >>> transform([1, 2, 3])\n [3, 4, 5]\n \"\"\"\n", |
| "raw_output": "def transform(xs):\n return [x + 2 for x in xs]" |
| }, |
| { |
| "task_id": "v27/string_predicate/08", |
| "entry_point": "is_palindrome", |
| "ok": true, |
| "gen_tokens": 49, |
| "reason": "pass", |
| "tail": "eturn True if the string ``s`` reads the same forwards and backwards (case-sensitive, no spaces stripped). Empty string is True.\n \"\"\"\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_palindrome` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef is_palindrome(s):\n \"\"\"Return True if the string ``s`` reads the same forwards and backwards (case-sensitive, no spaces stripped). Empty string is True.\n \"\"\"\n", |
| "raw_output": "def is_palindrome(s):\n \"\"\"Return True if the string ``s`` reads the same forwards and backwards (case-sensitive, no spaces stripped). Empty string is True.\n \"\"\"\n return s == s[::-1]" |
| }, |
| { |
| "task_id": "v27/pair_count/09", |
| "entry_point": "pair_count", |
| "ok": true, |
| "gen_tokens": 102, |
| "reason": "pass", |
| "tail": "unt = 0\n n = len(xs)\n for i in range(n):\n for j in range(i + 1, n):\n if xs[i] + xs[j] == 11:\n count += 1\n return count", |
| "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] == 11``.\n \"\"\"\n", |
| "raw_output": "def pair_count(xs):\n \"\"\"Return the number of unordered pairs (i, j) with i < j such that ``xs[i] + xs[j] == 11``.\n \"\"\"\n count = 0\n n = len(xs)\n for i in range(n):\n for j in range(i + 1, n):\n if xs[i] + xs[j] == 11:\n count += 1\n return count" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 87.7, |
| "mean_gen_tokens_correct": 87.7 |
| }, |
| "tool_use_bench": { |
| "n": 8, |
| "correct": 0, |
| "pass_frac": 0.0, |
| "wall_s": 6.4, |
| "items": [ |
| { |
| "src": "procedural_math/modular_linear", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "10", |
| "gold": "15", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{10}", |
| "raw_prompt": "Compute ((10 * 26) + (5 * 12) + 1) mod 17.\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\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": "\\boxed{10}" |
| }, |
| { |
| "src": "procedural_math/rate_distance", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "106", |
| "gold": "109", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{106}", |
| "raw_prompt": "Two cars start traveling east on the same highway. Car A travels at 63 kilometers per hour. Car B starts 6 kilometers behind Car A and travels at 86 kilometers per hour. After 5 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\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": "\\boxed{106}" |
| }, |
| { |
| "src": "procedural_math/triangle_area", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "100", |
| "gold": "65", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{100}", |
| "raw_prompt": "A triangle has base 10 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\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": "\\boxed{100}" |
| }, |
| { |
| "src": "procedural_math/digit_sum", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "106", |
| "gold": "213", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{106}", |
| "raw_prompt": "Let S be the sum of the digits of 866693. Compute (S * 6) minus 15.\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": "\\boxed{106}" |
| }, |
| { |
| "src": "procedural_math/probability_count", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "10", |
| "gold": "6", |
| "ok": false, |
| "gen_tokens": 7, |
| "tail": "\\boxed{10}", |
| "raw_prompt": "A bag contains 3 red, 12 blue, and 1 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": "\\boxed{10}" |
| }, |
| { |
| "src": "procedural_math/unit_conversion", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "665", |
| "gold": "412", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{665}", |
| "raw_prompt": "How many total minutes are in 6 hours and 52 minutes?\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": "\\boxed{665}" |
| }, |
| { |
| "src": "procedural_math/geometric_series", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "1000", |
| "gold": "2184", |
| "ok": false, |
| "gen_tokens": 9, |
| "tail": "\\boxed{1000}", |
| "raw_prompt": "Compute the sum of the first 6 terms of the geometric sequence with first term 6 and common ratio 3.\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": "\\boxed{1000}" |
| }, |
| { |
| "src": "procedural_math/coin_change", |
| "tool_used": false, |
| "tool_result": null, |
| "pred": "105", |
| "gold": "8", |
| "ok": false, |
| "gen_tokens": 8, |
| "tail": "\\boxed{105}", |
| "raw_prompt": "How many ways can you make exactly 35 cents using only 5-cent and 1-cent coins (each combination differing in the number of 5-cent coins counts as distinct, including the all-1-cent combination)?\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": "\\boxed{105}" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 7.9, |
| "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": 4.1, |
| "items": [ |
| { |
| "src": "long_context", |
| "gold": "G6T2T6Y", |
| "pred_tail": "64T6M3", |
| "ok": false, |
| "gen_tokens": 7, |
| "raw_prompt": "Read the following document carefully.\n\nAn orchestra rehearsed the overture twice before the show.\nMira arranged the bookshop's paperbacks by author's surname.\nThe national park extended its summer hours by two weeks.\nFreshly baked bread cooled on the counter by the window.\nHector practiced card tricks at the coffee shop for hours.\nThe treasure chest is buried at coordinates UWTM93M.\nElena's bakery sells four kinds of sourdough on weekends.\nBen made pancakes on Saturday morning using the old recipe.\nXavier walked the dog before the morning rain arrived.\nA brass bell tolled three times from the town square.\nA family of deer wandered across the university lawn.\nThe museum's ancient coin exhibit opens again next Thursday.\nGreta carried her violin carefully down the wet steps.\nThe planetarium will replace its projector later this year.\nThe hidden guild's signal word is 64X5NGR.\nAn old lighthouse guards the northern cove from storms.\nThe fog rolled in from the coast just after seven PM.\nQuinn painted watercolor landscapes on Sunday afternoons.\nWendy finished knitting the scarf just before the first frost.\nOlive forgot her keys at the coworking space overnight.\nThe lost vault combination is G6T2T6Y.\nYara repaired the broken porch swing with reclaimed oak.\nThe neighbours adopted a black-and-white kitten named Pepper.\nA small pumpkin patch sits just beyond the picket fence.\nJakob cleaned his grandfather's camera for the first time.\nThe library's north wing closed for renovations last month.\nA crescent moon hung above the rooftops by midnight.\nThe tram to the harbour departs every fifteen minutes.\nIngrid hiked the ridge trail before the weather changed.\nNoel studied French phrases each morning over breakfast tea.\nThe river trail remained icy well into early April.\nThe autumn leaves turned early this year in the valley.\nPaul's startup released its first public beta this winter.\nWild sunflowers bloomed along the highway's median strip.\nTomas grew tomatoes in clay pots on the sunny balcony.\nThe train slowed as it entered the tunnel at Clearwater.\nClara found an old photograph tucked inside a paperback.\nViktor learned to bake bread from a video series online.\nUma volunteered at the animal shelter on alternate Saturdays.\nSnow fell steadily over the small village in the highlands.\nTwo border collies herded sheep across the meadow at dawn.\nAnna opened the windows to let in the evening breeze.\nDmitri repainted the garden fence a soft sage green.\nProfessor Aldric's rare ingredient is TRK2HYU.\n\nQuestion: What is the lost vault combination?\nAnswer with only the exact answer from the document.", |
| "raw_output": "64T6M3", |
| "needle_position": 20, |
| "confuser_positions": [ |
| 43, |
| 5, |
| 14 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| }, |
| { |
| "src": "long_context", |
| "gold": "PHWA4EZ", |
| "pred_tail": "477DQ", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "Read the following document carefully.\n\nThe river trail remained icy well into early April.\nYara repaired the broken porch swing with reclaimed oak.\nThe planetarium will replace its projector later this year.\nA crescent moon hung above the rooftops by midnight.\nAn orchestra rehearsed the overture twice before the show.\nFelix mistakenly took the wrong umbrella from the lobby.\nOlive forgot her keys at the coworking space overnight.\nAnna opened the windows to let in the evening breeze.\nWild rosemary grew along the stone wall behind the school.\nThe treasure chest is buried at coordinates RBDEAWW.\nThe museum's ancient coin exhibit opens again next Thursday.\nJakob cleaned his grandfather's camera for the first time.\nA small pumpkin patch sits just beyond the picket fence.\nThe winning lottery number from last week was PHWA4EZ.\nViktor learned to bake bread from a video series online.\nThe bakery closes early on holidays and all Sundays.\nThe autumn leaves turned early this year in the valley.\nSam organised a neighbourhood book swap in the autumn.\nLeo reread his favorite childhood novel every winter.\nQuinn painted watercolor landscapes on Sunday afternoons.\nPaul's startup released its first public beta this winter.\nThe hidden guild's signal word is 47D7P7E.\nFreshly baked bread cooled on the counter by the window.\nGreta carried her violin carefully down the wet steps.\nA peregrine falcon circled the cathedral tower before dusk.\nCaptain Nia's lucky charm is called MEPVCMK.\nThe library's north wing closed for renovations last month.\nClara found an old photograph tucked inside a paperback.\nThe tram to the harbour departs every fifteen minutes.\nElena's bakery sells four kinds of sourdough on weekends.\nA brass bell tolled three times from the town square.\nA family of deer wandered across the university lawn.\nAn old lighthouse guards the northern cove from storms.\nTwo border collies herded sheep across the meadow at dawn.\nBen made pancakes on Saturday morning using the old recipe.\nMira arranged the bookshop's paperbacks by author's surname.\nThe national park extended its summer hours by two weeks.\nIngrid hiked the ridge trail before the weather changed.\nSnow fell steadily over the small village in the highlands.\nThe neighbours adopted a black-and-white kitten named Pepper.\nUma volunteered at the animal shelter on alternate Saturdays.\nKira repaired the bicycle's flat tire in under ten minutes.\nThe fog rolled in from the coast just after seven PM.\nThe village holds a pumpkin festival every October weekend.\n\nQuestion: What was last week's winning lottery number?\nAnswer with only the exact answer from the document.", |
| "raw_output": "477DQ", |
| "needle_position": 13, |
| "confuser_positions": [ |
| 25, |
| 9, |
| 21 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| }, |
| { |
| "src": "long_context", |
| "gold": "U3KVY92", |
| "pred_tail": "86764J", |
| "ok": false, |
| "gen_tokens": 7, |
| "raw_prompt": "Read the following document carefully.\n\nThe library's north wing closed for renovations last month.\nThe secret access code for the archive is 8K36CT4.\nRosa taught beginner yoga classes every Tuesday evening.\nAn orchestra rehearsed the overture twice before the show.\nThe fog rolled in from the coast just after seven PM.\nMira arranged the bookshop's paperbacks by author's surname.\nA peregrine falcon circled the cathedral tower before dusk.\nThe river trail remained icy well into early April.\nViktor learned to bake bread from a video series online.\nTomas grew tomatoes in clay pots on the sunny balcony.\nXavier walked the dog before the morning rain arrived.\nThe keeper's favorite password is U3KVY92.\nA crescent moon hung above the rooftops by midnight.\nA new cafe opened near the old train station last Tuesday.\nOlive forgot her keys at the coworking space overnight.\nPaul's startup released its first public beta this winter.\nTwo border collies herded sheep across the meadow at dawn.\nA small pumpkin patch sits just beyond the picket fence.\nThe village holds a pumpkin festival every October weekend.\nThe national park extended its summer hours by two weeks.\nBen made pancakes on Saturday morning using the old recipe.\nElena's bakery sells four kinds of sourdough on weekends.\nThe hidden guild's signal word is 8ZHNAYB.\nThe neighbours adopted a black-and-white kitten named Pepper.\nHector practiced card tricks at the coffee shop for hours.\nUma volunteered at the animal shelter on alternate Saturdays.\nClara found an old photograph tucked inside a paperback.\nWild rosemary grew along the stone wall behind the school.\nA family of deer wandered across the university lawn.\nWild sunflowers bloomed along the highway's median strip.\nThe winning lottery number from last week was 674GV67.\nYara repaired the broken porch swing with reclaimed oak.\nWendy finished knitting the scarf just before the first frost.\nA brass bell tolled three times from the town square.\nSnow fell steadily over the small village in the highlands.\nGreta carried her violin carefully down the wet steps.\nDmitri repainted the garden fence a soft sage green.\nThe museum's ancient coin exhibit opens again next Thursday.\nThe autumn leaves turned early this year in the valley.\nAn old lighthouse guards the northern cove from storms.\nNoel studied French phrases each morning over breakfast tea.\nThe tram to the harbour departs every fifteen minutes.\nIngrid hiked the ridge trail before the weather changed.\nAnna opened the windows to let in the evening breeze.\n\nQuestion: What is the keeper's favorite password?\nAnswer with only the exact answer from the document.", |
| "raw_output": "86764J", |
| "needle_position": 11, |
| "confuser_positions": [ |
| 1, |
| 30, |
| 22 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| }, |
| { |
| "src": "long_context", |
| "gold": "R4BP988", |
| "pred_tail": "8K4J98", |
| "ok": false, |
| "gen_tokens": 7, |
| "raw_prompt": "Read the following document carefully.\n\nWild rosemary grew along the stone wall behind the school.\nThe planetarium will replace its projector later this year.\nThe neighbours adopted a black-and-white kitten named Pepper.\nThe autumn leaves turned early this year in the valley.\nQuinn painted watercolor landscapes on Sunday afternoons.\nGreta carried her violin carefully down the wet steps.\nMira arranged the bookshop's paperbacks by author's surname.\nCaptain Nia's lucky charm is called 8B4R95C.\nOlive forgot her keys at the coworking space overnight.\nTwo border collies herded sheep across the meadow at dawn.\nAnna opened the windows to let in the evening breeze.\nAn old lighthouse guards the northern cove from storms.\nFelix mistakenly took the wrong umbrella from the lobby.\nFreshly baked bread cooled on the counter by the window.\nSam organised a neighbourhood book swap in the autumn.\nAn orchestra rehearsed the overture twice before the show.\nNoel studied French phrases each morning over breakfast tea.\nThe secret access code for the archive is S8RQRVD.\nThe tram to the harbour departs every fifteen minutes.\nClara found an old photograph tucked inside a paperback.\nA family of deer wandered across the university lawn.\nTomas grew tomatoes in clay pots on the sunny balcony.\nThe keeper's favorite password is R4BP988.\nKira repaired the bicycle's flat tire in under ten minutes.\nA new cafe opened near the old train station last Tuesday.\nHector practiced card tricks at the coffee shop for hours.\nBen made pancakes on Saturday morning using the old recipe.\nJakob cleaned his grandfather's camera for the first time.\nThe museum's ancient coin exhibit opens again next Thursday.\nThe train slowed as it entered the tunnel at Clearwater.\nPaul's startup released its first public beta this winter.\nThe river trail remained icy well into early April.\nXavier walked the dog before the morning rain arrived.\nRosa taught beginner yoga classes every Tuesday evening.\nViktor learned to bake bread from a video series online.\nThe lost vault combination is VP5K7JX.\nThe library's north wing closed for renovations last month.\nLeo reread his favorite childhood novel every winter.\nThe bakery closes early on holidays and all Sundays.\nA brass bell tolled three times from the town square.\nA small pumpkin patch sits just beyond the picket fence.\nWendy finished knitting the scarf just before the first frost.\nUma volunteered at the animal shelter on alternate Saturdays.\nA peregrine falcon circled the cathedral tower before dusk.\n\nQuestion: What is the keeper's favorite password?\nAnswer with only the exact answer from the document.", |
| "raw_output": "8K4J98", |
| "needle_position": 22, |
| "confuser_positions": [ |
| 35, |
| 17, |
| 7 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| }, |
| { |
| "src": "long_context", |
| "gold": "CPNDFHV", |
| "pred_tail": "65K2H7N", |
| "ok": false, |
| "gen_tokens": 8, |
| "raw_prompt": "Read the following document carefully.\n\nMira arranged the bookshop's paperbacks by author's surname.\nSam organised a neighbourhood book swap in the autumn.\nThe museum's ancient coin exhibit opens again next Thursday.\nJakob cleaned his grandfather's camera for the first time.\nRosa taught beginner yoga classes every Tuesday evening.\nThe village holds a pumpkin festival every October weekend.\nThe hidden guild's signal word is 6W87N7G.\nA crescent moon hung above the rooftops by midnight.\nA small pumpkin patch sits just beyond the picket fence.\nThe tram to the harbour departs every fifteen minutes.\nOlive forgot her keys at the coworking space overnight.\nUma volunteered at the animal shelter on alternate Saturdays.\nThe bakery closes early on holidays and all Sundays.\nDmitri repainted the garden fence a soft sage green.\nThe neighbours adopted a black-and-white kitten named Pepper.\nThe national park extended its summer hours by two weeks.\nHector practiced card tricks at the coffee shop for hours.\nCaptain Nia's lucky charm is called G25KFPR.\nPaul's startup released its first public beta this winter.\nFreshly baked bread cooled on the counter by the window.\nA peregrine falcon circled the cathedral tower before dusk.\nTomas grew tomatoes in clay pots on the sunny balcony.\nThe autumn leaves turned early this year in the valley.\nA brass bell tolled three times from the town square.\nA new cafe opened near the old train station last Tuesday.\nThe fog rolled in from the coast just after seven PM.\nElena's bakery sells four kinds of sourdough on weekends.\nNoel studied French phrases each morning over breakfast tea.\nWendy finished knitting the scarf just before the first frost.\nXavier walked the dog before the morning rain arrived.\nThe river trail remained icy well into early April.\nA family of deer wandered across the university lawn.\nThe train slowed as it entered the tunnel at Clearwater.\nThe keeper's favorite password is CPNDFHV.\nAnna opened the windows to let in the evening breeze.\nWild rosemary grew along the stone wall behind the school.\nWild sunflowers bloomed along the highway's median strip.\nBen made pancakes on Saturday morning using the old recipe.\nViktor learned to bake bread from a video series online.\nKira repaired the bicycle's flat tire in under ten minutes.\nThe winning lottery number from last week was HS56C9K.\nThe library's north wing closed for renovations last month.\nYara repaired the broken porch swing with reclaimed oak.\nAn orchestra rehearsed the overture twice before the show.\n\nQuestion: What is the keeper's favorite password?\nAnswer with only the exact answer from the document.", |
| "raw_output": "65K2H7N", |
| "needle_position": 33, |
| "confuser_positions": [ |
| 6, |
| 40, |
| 17 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| }, |
| { |
| "src": "long_context", |
| "gold": "3H3YNSZ", |
| "pred_tail": "3KZUWYU", |
| "ok": false, |
| "gen_tokens": 8, |
| "raw_prompt": "Read the following document carefully.\n\nOlive forgot her keys at the coworking space overnight.\nThe village holds a pumpkin festival every October weekend.\nThe national park extended its summer hours by two weeks.\nThe hidden guild's signal word is G2XCC9D.\nThe river trail remained icy well into early April.\nJakob cleaned his grandfather's camera for the first time.\nA brass bell tolled three times from the town square.\nWild rosemary grew along the stone wall behind the school.\nA family of deer wandered across the university lawn.\nKira repaired the bicycle's flat tire in under ten minutes.\nThe planetarium will replace its projector later this year.\nA crescent moon hung above the rooftops by midnight.\nElena's bakery sells four kinds of sourdough on weekends.\nThe tram to the harbour departs every fifteen minutes.\nWild sunflowers bloomed along the highway's median strip.\nSnow fell steadily over the small village in the highlands.\nXavier walked the dog before the morning rain arrived.\nClara found an old photograph tucked inside a paperback.\nThe lost vault combination is 3H3YNSZ.\nWendy finished knitting the scarf just before the first frost.\nQuinn painted watercolor landscapes on Sunday afternoons.\nThe museum's ancient coin exhibit opens again next Thursday.\nThe library's north wing closed for renovations last month.\nFreshly baked bread cooled on the counter by the window.\nRosa taught beginner yoga classes every Tuesday evening.\nCaptain Nia's lucky charm is called UYV6MPU.\nViktor learned to bake bread from a video series online.\nPaul's startup released its first public beta this winter.\nBen made pancakes on Saturday morning using the old recipe.\nSam organised a neighbourhood book swap in the autumn.\nThe neighbours adopted a black-and-white kitten named Pepper.\nGreta carried her violin carefully down the wet steps.\nThe fog rolled in from the coast just after seven PM.\nTomas grew tomatoes in clay pots on the sunny balcony.\nThe winning lottery number from last week was HZFYAFR.\nA small pumpkin patch sits just beyond the picket fence.\nDmitri repainted the garden fence a soft sage green.\nFelix mistakenly took the wrong umbrella from the lobby.\nA peregrine falcon circled the cathedral tower before dusk.\nMira arranged the bookshop's paperbacks by author's surname.\nAn old lighthouse guards the northern cove from storms.\nYara repaired the broken porch swing with reclaimed oak.\nAnna opened the windows to let in the evening breeze.\nA new cafe opened near the old train station last Tuesday.\n\nQuestion: What is the lost vault combination?\nAnswer with only the exact answer from the document.", |
| "raw_output": "3KZUWYU", |
| "needle_position": 18, |
| "confuser_positions": [ |
| 3, |
| 34, |
| 25 |
| ], |
| "confuser_hit": false, |
| "gold_in_pred": false |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 7.2, |
| "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": 9.3, |
| "items": [ |
| { |
| "src": "procedural_math/set_intersect", |
| "perturbation": "imperative_to_question", |
| "pred": "100", |
| "gold": "87", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "In a class, 80 students study Spanish, 61 study French, and 54 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": "#### 100" |
| }, |
| { |
| "src": "procedural_math/set_intersect", |
| "perturbation": "extra_whitespace", |
| "pred": "100", |
| "gold": "87", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "In a class, 80 students study Spanish, 61 study French, and 54 study both. How many students study Spanish or French (or both)?\n\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": "#### 100" |
| }, |
| { |
| "src": "procedural_math/percentage", |
| "perturbation": "imperative_to_question", |
| "pred": "105", |
| "gold": "41", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "A shop has 332 items in stock. They sell 5% of them on Monday, then receive 25 new items. How many items have left the shop, plus the new arrivals (i.e. 5% of 332 plus 25)?\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": "#### 105" |
| }, |
| { |
| "src": "procedural_math/percentage", |
| "perturbation": "extra_whitespace", |
| "pred": "115", |
| "gold": "41", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "A shop has 332 items in stock. They sell 5% of them on Monday, then receive 25 new items. How many items have left the shop, plus the new arrivals (i.e. 5% of 332 plus 25)?\n\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": "#### 115" |
| }, |
| { |
| "src": "procedural_math/arithmetic_series", |
| "perturbation": "imperative_to_question", |
| "pred": "107", |
| "gold": "279", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "What is the sum of the first 9 terms of the arithmetic sequence whose first term is 7 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": "#### 107" |
| }, |
| { |
| "src": "procedural_math/arithmetic_series", |
| "perturbation": "extra_whitespace", |
| "pred": "100", |
| "gold": "279", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "Compute the sum of the first 9 terms of the arithmetic sequence whose first term is 7 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": "#### 100" |
| }, |
| { |
| "src": "procedural_math/coin_change", |
| "perturbation": "imperative_to_question", |
| "pred": "10", |
| "gold": "7", |
| "ok": false, |
| "gen_tokens": 5, |
| "raw_prompt": "How many ways can you make exactly 30 cents using only 5-cent and 1-cent coins (each combination differing in the number of 5-cent coins counts as distinct, including the all-1-cent combination)?\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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/coin_change", |
| "perturbation": "extra_whitespace", |
| "pred": "10", |
| "gold": "7", |
| "ok": false, |
| "gen_tokens": 5, |
| "raw_prompt": "How many ways can you make exactly 30 cents using only 5-cent and 1-cent coins (each combination differing in the number of 5-cent coins counts as distinct, including the all-1-cent combination)?\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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/digit_sum", |
| "perturbation": "imperative_to_question", |
| "pred": "114", |
| "gold": "102", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "Let S be the sum of the digits of 987569. What is (S * 2) plus 14?\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": "#### 114" |
| }, |
| { |
| "src": "procedural_math/digit_sum", |
| "perturbation": "extra_whitespace", |
| "pred": "114", |
| "gold": "102", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "Let S be the sum of the digits of 987569. Compute (S * 2) plus 14.\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": "#### 114" |
| }, |
| { |
| "src": "procedural_math/simultaneous", |
| "perturbation": "imperative_to_question", |
| "pred": "10", |
| "gold": "-99", |
| "ok": false, |
| "gen_tokens": 5, |
| "raw_prompt": "Solve the system:\n 3 x + 3 y = 6\n 1 x + 6 y = -43\nThen What is 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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/simultaneous", |
| "perturbation": "extra_whitespace", |
| "pred": "10", |
| "gold": "-99", |
| "ok": false, |
| "gen_tokens": 5, |
| "raw_prompt": "Solve the system:\n 3 x + 3 y = 6\n 1 x + 6 y = -43\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": "#### 10" |
| }, |
| { |
| "src": "procedural_math/time_arithmetic", |
| "perturbation": "imperative_to_question", |
| "pred": "1122", |
| "gold": "532", |
| "ok": false, |
| "gen_tokens": 7, |
| "raw_prompt": "A meeting starts at 12:12 on a 12-hour clock. It runs for 5 hours and 20 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 \u2192 325, 11:45 \u2192 1145).\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": "#### 1122" |
| }, |
| { |
| "src": "procedural_math/time_arithmetic", |
| "perturbation": "extra_whitespace", |
| "pred": "1122", |
| "gold": "532", |
| "ok": false, |
| "gen_tokens": 7, |
| "raw_prompt": "A meeting starts at 12:12 on a 12-hour clock. It runs for 5 hours and 20 minutes. At what time does it end? Give the answer as the integer HHMM (e.g. 03:25 \u2192 325, 11:45 \u2192 1145).\n\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", |
| "raw_output": "#### 1122" |
| }, |
| { |
| "src": "procedural_math/unit_conversion", |
| "perturbation": "imperative_to_question", |
| "pred": "105", |
| "gold": "593", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "How many total minutes are in 9 hours and 53 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": "#### 105" |
| }, |
| { |
| "src": "procedural_math/unit_conversion", |
| "perturbation": "extra_whitespace", |
| "pred": "105", |
| "gold": "593", |
| "ok": false, |
| "gen_tokens": 6, |
| "raw_prompt": "How many total minutes are in 9 hours and 53 minutes?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", |
| "raw_output": "#### 105" |
| } |
| ], |
| "error": null, |
| "mean_gen_tokens": 5.9, |
| "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": 1.56154, |
| "king_kl": null, |
| "wall_s": 259.7 |
| }, |
| "on_policy_rkl": { |
| "n_rollouts": 12, |
| "tokens": 1497, |
| "mean_rkl": 0.484697, |
| "mean_fkl": 0.97052, |
| "mean_skl": 0.224213, |
| "mean_sampled_gap": 0.551492, |
| "mean_gen_len": 124.8, |
| "skew_alpha": 0.1, |
| "top_k": 128, |
| "per_rollout": [ |
| { |
| "prompt": "Write a single tweet-length (<=280 chars) review of a made-up book titled 'The Stone Garden'.", |
| "gen_len": 123, |
| "tokens_scored": 123, |
| "rkl": 0.453028, |
| "fkl": 1.052738, |
| "skl": 0.238787, |
| "sampled_gap": 0.609418, |
| "tail": "tion).\n\n2. **Determine the Book's Premise (Mental Sandbox):**\n * Title: 'The Stone Garden'.\n * Vibe: Mysterious, historical, fantasy, or dystopian? Let's go with historical fantasy/mystery." |
| }, |
| { |
| "prompt": "Explain a dream forest in two sentences.", |
| "gen_len": 124, |
| "tokens_scored": 124, |
| "rkl": 0.610691, |
| "fkl": 1.610052, |
| "skl": 0.334161, |
| "sampled_gap": 0.791315, |
| "tail": "horical description of a forest that feels like a dream (ethereal, shifting, surreal, inviting).\n * Key elements: Surreal, shifting, dreamlike, vibrant, mysterious.\n\n3. **Drafting - Attempt 1:**" |
| }, |
| { |
| "prompt": "What is the largest ocean on Earth?", |
| "gen_len": 123, |
| "tokens_scored": 123, |
| "rkl": 0.440809, |
| "fkl": 0.69618, |
| "skl": 0.190427, |
| "sampled_gap": 0.422917, |
| "tail": "mpare sizes:**\n * Pacific Ocean: Covers about 63 million square kilometers (24 million square miles).\n * Atlantic Ocean: Covers about 106 million square kilometers (41 million square miles)." |
| }, |
| { |
| "prompt": "Explain what a database index does, concisely.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.526594, |
| "fkl": 0.782119, |
| "skl": 0.196633, |
| "sampled_gap": 0.533374, |
| "tail": " * What problem does it solve? (Speeding up data retrieval).\n * How does it work? (Similar to a book's index).\n * Trade-off? (Storage space vs. performance).\n\n3. **Drafting - Attempt 1 (M" |
| }, |
| { |
| "prompt": "What is the greenhouse effect? Answer in two sentences.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.460118, |
| "fkl": 1.02188, |
| "skl": 0.222417, |
| "sampled_gap": 0.484279, |
| "tail": "ts absorbed by the Earth, and is re-radiated as infrared radiation. Greenhouse gases (like CO2, methane) absorb this heat and prevent it from escaping into space.\n * Why is it important? It keeps" |
| }, |
| { |
| "prompt": "If you flip a fair coin 4 times, what's the probability of at least one head? Reason concisely then answer.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.405806, |
| "fkl": 0.553567, |
| "skl": 0.129187, |
| "sampled_gap": 0.398038, |
| "tail": " Total Number of Outcomes:**\n * A fair coin has 2 possible outcomes (Heads - H, Tails - T).\n * Flipping it 4 times means $2^4$ total outcomes.\n * $2^4 = 16$.\n\n3. **Determine the Number" |
| }, |
| { |
| "prompt": "If today is Tuesday, what day is it 100 days from now? Reason then answer.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.371279, |
| "fkl": 0.538292, |
| "skl": 0.115908, |
| "sampled_gap": 0.372545, |
| "tail": "eat in a cycle of 7 days (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday).\n\n3. **Perform the Calculation:**\n * I need to find the remainder when 100 is divided by 7.\n * $100" |
| }, |
| { |
| "prompt": "Summarize the theory of evolution by natural selection in two sentences.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.480144, |
| "fkl": 0.819705, |
| "skl": 0.207826, |
| "sampled_gap": 0.53222, |
| "tail": "re offspring than resources/survivors.\n * Selection: Individuals with advantageous traits survive and reproduce more.\n * Adaptation/Change over time: Populations change over generations.\n\n3." |
| }, |
| { |
| "prompt": "What is a linked enumerate in computer science? Two sentences.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.585133, |
| "fkl": 1.320627, |
| "skl": 0.284072, |
| "sampled_gap": 0.691098, |
| "tail": "ist, Enumeration (enum), Enumerate (function), Linked enumerate?\n * Hypothesis: It's likely a confusion or a non-standard term.\n * Possibility A: \"Linked List\" + \"Enumeration\".\n *" |
| }, |
| { |
| "prompt": "Describe what a compiler does, in one paragraph.", |
| "gen_len": 125, |
| "tokens_scored": 125, |
| "rkl": 0.606751, |
| "fkl": 1.143059, |
| "skl": 0.290756, |
| "sampled_gap": 0.710677, |
| "tail": "imization, error checking.\n * Output: Machine code (computer-readable, binary/assembler), object files, executables.\n * Timing: Typically before runtime (static translation).\n * Purpose" |
| }, |
| { |
| "prompt": "Offer a two-sentence horror story.", |
| "gen_len": 124, |
| "tokens_scored": 124, |
| "rkl": 0.607812, |
| "fkl": 1.253797, |
| "skl": 0.287312, |
| "sampled_gap": 0.77912, |
| "tail": " Supernatural (ghosts, monsters).\n * Everyday horror (something familiar turned terrifying).\n * *Idea 1:* The phone rang, but I knew it was going to ring forever. (Too vague)\n * *Idea" |
| }, |
| { |
| "prompt": "Translate to Portuguese: The book is on the table.", |
| "gen_len": 128, |
| "tokens_scored": 128, |
| "rkl": 0.274037, |
| "fkl": 0.861163, |
| "skl": 0.194851, |
| "sampled_gap": 0.301506, |
| "tail": "\" (verb \"to be\" in present tense for location)\n- \"on the table\" -> \"no quadro\"? Wait, no. \"Table\" is \"mesa\" in Portuguese. \"On the table\" -> \"em cima da mesa\" or \"sobre a mesa\". But in Portuguese, the" |
| } |
| ], |
| "scoring_time": 9.2 |
| }, |
| "judge_probe": { |
| "n": 16, |
| "n_valid": 16, |
| "mean_score": 4.75, |
| "normalized": 0.9375, |
| "per_prompt": [ |
| { |
| "prompt": "Output the word 'OK' in English, French, and German, separated by slashes. Just the output line.", |
| "response_preview": "OK/OK/D'accord", |
| "raw": "3", |
| "score": 3 |
| }, |
| { |
| "prompt": "Write a JSON object with keys 'title' and 'summary' describing the book '1984' (title by Orwell). Respond with only the JSON.", |
| "response_preview": "{\n \"title\": \"1984\",\n \"summary\": \"A dystopian social science fiction novel by George Orwell that depicts a totalitarian", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Write a single sentence that describes the color 'deep ocean blue' without using the words 'blue' or 'ocean'.", |
| "response_preview": "It is a profound, dark shade of azure that evokes the crushing pressure and endless mystery of the abyssal depths.", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Offer me a command-line one-liner that counts the number of .py files under the current directory (do not explain, just the command).", |
| "response_preview": "find . -name \"*.py\" -type f | wc -l", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Write a regex that matches a US 5-digit zip code. Just the regex.", |
| "response_preview": "^\\d{5}$", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "If the interior angle of a regular polygon is 150\u00b0, how many sides does it have? Demonstrate one step of reasoning.", |
| "response_preview": "To find the number of sides, we can use the relationship between the interior angle and the exterior angle of a regular ", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Write a Python one-liner that reverses the string 'hello world' without using `[::-1]`. Just the one-liner.", |
| "response_preview": "print(''.join(reversed('hello world')))", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Describe briefly the difference between TCP and UDP.", |
| "response_preview": "The primary difference between **TCP** (Transmission Control Protocol) and **UDP** (User Datagram Protocol) lies in thei", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Provide me a response that is exactly one sentence ending in 'fin.'", |
| "response_preview": "The task is complete. fin.", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "A bag contains 3 red marbles and 2 blue marbles. If you draw two without replacement, what is the probability both are red? Illustrate the calculation.", |
| "response_preview": "To find the probability that both marbles drawn are red, we can break the problem down into two sequential events: drawi", |
| "raw": "3", |
| "score": 3 |
| }, |
| { |
| "prompt": "When is it appropriate to ask for clarification when given an ambiguous task? One sentence.", |
| "response_preview": "It is appropriate to ask for clarification immediately upon recognizing ambiguity, as early intervention prevents wasted", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "What is the benefit of writing a docstring on a function? One sentence.", |
| "response_preview": "Docstrings provide essential documentation that explains a function's purpose, parameters, and return values, enabling d", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Write a Python function `fibonacci(n)` that returns the nth Fibonacci number iteratively. Just the function.", |
| "response_preview": "```python\ndef fibonacci(n):\n if n < 0:\n raise ValueError(\"Input must be a non-negative integer.\")\n if n == ", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "In one paragraph, describe why the seasons exist.", |
| "response_preview": "The existence of seasons is primarily caused by the tilt of Earth's rotational axis relative to its orbital plane around", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "Write one tweet (<280 chars) introducing a fictional coffee-subscription service called 'BeanBox'.", |
| "response_preview": "Tired of stale beans? \u2615\ufe0f Introducing BeanBox! \ud83d\udce6\u2728 Your personalized coffee subscription delivering fresh, artisanal roast", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "prompt": "What is the best way to learn a new programming language? Answer in 2-3 sentences.", |
| "response_preview": "The most effective approach is to start by understanding the core syntax and fundamental concepts through official docum", |
| "raw": "5", |
| "score": 5 |
| } |
| ], |
| "scoring_time": 24.8, |
| "in_composite": true, |
| "version": 1 |
| }, |
| "chat_turns_probe": { |
| "n": 6, |
| "n_valid": 6, |
| "n_turns": 3, |
| "mean_score": 4.5, |
| "normalized": 0.875, |
| "per_convo": [ |
| { |
| "seed": "Outline what a binary heap is in one paragraph.", |
| "raw": "3", |
| "score": 3 |
| }, |
| { |
| "seed": "Outline what a hash table is to someone new to programming.", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "seed": "Describe the difference between `let`, `const`, and `var` in JavaScript.", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "seed": "I'm writing a resume for a software engineering job. What do i need to highlight?", |
| "raw": "5", |
| "score": 5 |
| }, |
| { |
| "seed": "I'm choosing between Python and Rust for a new backend service.", |
| "raw": "4", |
| "score": 4 |
| }, |
| { |
| "seed": "Explain the plot of Hamlet in 2 sentences.", |
| "raw": "5", |
| "score": 5 |
| } |
| ], |
| "scoring_time": 10.5, |
| "in_composite": true, |
| "version": 1 |
| } |
| }, |
| "Qwen/Qwen3.5-4B": { |
| "status": "teacher_sanity", |
| "capability": { |
| "n": 36, |
| "correct": 31, |
| "pass_frac": 0.861, |
| "teacher_pass_frac": 0.861, |
| "items": [], |
| "source": "teacher_sanity_probe" |
| } |
| } |
| }, |
| "timings": { |
| "vllm_startup": 76.7, |
| "vllm_generation": 7.5, |
| "teacher_probe_refs": 12.7, |
| "teacher_logits_pass": 0.0, |
| "teacher_hf_load": 0.0, |
| "on_policy_rkl": 9.2, |
| "judge_probe": 24.8, |
| "chat_turns_probe": 10.5, |
| "phase_b_total": 47.2 |
| } |
| } |
