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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
aime24: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
  child 5, pass8: double
  child 6, pass16: double
aime25: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
  child 5, pass8: double
  child 6, pass16: double
amc23: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
  child 5, pass8: double
  child 6, pass16: double
math500: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
minerva: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
olympiadbench: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
  child 0, pass1: double
  child 1, n: int64
  child 2, mean_tokens: double
  child 3, truncated: double
  child 4, pass4: double
samples: list<item: string>
  child 0, item: string
problem: string
answer: string
ntok: list<item: int64>
  child 0, item: int64
finish: list<item: string>
  child 0, item: string
to
{'problem': Value('string'), 'answer': Value('string'), 'samples': List(Value('string')), 'finish': List(Value('string')), 'ntok': List(Value('int64'))}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1835, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 621, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 361, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2381, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2309, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              aime24: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
                child 5, pass8: double
                child 6, pass16: double
              aime25: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
                child 5, pass8: double
                child 6, pass16: double
              amc23: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double, pass8: double (... 17 chars omitted)
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
                child 5, pass8: double
                child 6, pass16: double
              math500: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
              minerva: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
              olympiadbench: struct<pass1: double, n: int64, mean_tokens: double, truncated: double, pass4: double>
                child 0, pass1: double
                child 1, n: int64
                child 2, mean_tokens: double
                child 3, truncated: double
                child 4, pass4: double
              samples: list<item: string>
                child 0, item: string
              problem: string
              answer: string
              ntok: list<item: int64>
                child 0, item: int64
              finish: list<item: string>
                child 0, item: string
              to
              {'problem': Value('string'), 'answer': Value('string'), 'samples': List(Value('string')), 'finish': List(Value('string')), 'ntok': List(Value('int64'))}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1379, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 956, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1702, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1887, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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problem
string
answer
string
samples
list
finish
list
ntok
list
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl...
204
[ "Let $w$ be the time Aya spends walking in hours. Given that she walks at a speed of $s$ km/h for 4 hours, we have:\n\\[ s = \\frac{9}{4} \\text{ km/h} \\]\n\\[ w = 4 \\text{ hours} \\]\n\nWhen walking at $s + 2$ km/h for 2 hours and 24 minutes (which is 2.4 hours in decimal form), we have:\n\\[ s + 2 = \\frac{9}{2...
[ "stop", "stop", "stop", "length", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop" ]
[ 376, 455, 547, 4096, 1024, 502, 454, 266, 495, 340, 420, 473, 638, 877, 834, 531 ]
Let $ABC$ be a triangle inscribed in circle $\omega$. Let the tangents to $\omega$ at $B$ and $C$ intersect at point $D$, and let $\overline{AD}$ intersect $\omega$ at $P$. If $AB=5$, $BC=9$, and $AC=10$, $AP$ can be written as the form $\frac{m}{n}$, where $m$ and $n$ are relatively prime integers. Find $m + n$.
113
[ "By Ptolemy's Theorem for cyclic quadrilateral $ABPC$, we have:\n\\[ AB \\cdot PC + AC \\cdot PB = AP \\cdot BC. \\]\nThis gives us:\n\\[ 5 \\cdot PC + 10 \\cdot PB = AP \\cdot 9. \\]\nLet $AP = x$, then:\n\\[ 5 \\cdot PC + 10 \\cdot PB = 9x. \\]\n\nUsing the Angle Bisector Theorem in $\\triangle APD$, we have:\n\\...
[ "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "length", "stop", "stop", "stop", "stop", "stop", "stop", "stop" ]
[ 617, 886, 291, 511, 452, 162, 388, 153, 4096, 313, 444, 558, 276, 562, 661, 779 ]
Each vertex of a regular octagon is independently colored either red or blue with equal probability. The probability that the octagon can then be rotated so that all of the blue vertices end up at positions where there were originally red vertices is $\tfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integ...
371
[ "- **Case 1**: 0 blue vertices. The probability of this happening is $\\left(\\frac{1}{2}\\right)^8 = \\frac{1}{256}$.\n- **Case 2**: 4 blue vertices. There are $\\binom{8}{4} = 70$ ways to choose which vertices are blue. The probability that the octagon can be rotated such that blue vertices are at positions of re...
[ "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop" ]
[ 520, 493, 524, 219, 461, 278, 550, 231, 386, 355, 408, 478, 330, 355, 561, 383 ]
Define $f(x)=|| x|-\tfrac{1}{2}|$ and $g(x)=|| x|-\tfrac{1}{4}|$. Find the number of intersections of the graphs of \[y=4 g(f(\sin (2 \pi x))) \quad\text{ and }\quad x=4 g(f(\cos (3 \pi y))).\]
385
[ "First, we analyze the function $f(x) = ||x| - \\tfrac{1}{2}|$. The function $f(x)$ is defined piecewise as:\n\\[\nf(x) = \n\\begin{cases} \n\\tfrac{1}{2} - x & \\text{if } x \\geq \\tfrac{1}{2}, \\\\\nx - \\tfrac{1}{2} & \\text{if } x < \\tfrac{1}{2}.\n\\end{cases}\n\\]\nThis function is symmetric about $x = \\tfr...
[ "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop" ]
[ 694, 563, 813, 658, 815, 572, 576, 1061, 666, 1199, 578, 779, 529, 599, 775, 905 ]
Let $p$ be the least prime number for which there exists a positive integer $n$ such that $n^{4}+1$ is divisible by $p^{2}$. Find the least positive integer $m$ such that $m^{4}+1$ is divisible by $p^{2}$.
110
[ "\n1. **Identify the given conditions**: We need to find the smallest prime number \\( p \\) such that there exists a positive integer \\( n \\) for which \\( n^4 + 1 \\) is divisible by \\( p^2 \\).\n\n2. **Check the smallest primes**: Start with the smallest prime numbers and verify if they satisfy the condition....
[ "stop", "length", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "stop", "length", "stop", "stop", "length" ]
[ 1236, 4096, 989, 2302, 1350, 1491, 1486, 668, 1169, 1594, 1713, 947, 4096, 1888, 1518, 4096 ]
"Let $ABCD$ be a tetrahedron such that $AB=CD= \\sqrt{41}$, $AC=BD= \\sqrt{80}$, and $BC=AD= \\sqrt{(...TRUNCATED)
104
["Let $a$, $b$, and $c$ be the areas of triangles $ABC$, $ACD$, and $BCD$, respectively. We use the (...TRUNCATED)
["stop","stop","stop","stop","stop","stop","stop","length","stop","stop","length","stop","stop","sto(...TRUNCATED)
[ 564, 666, 405, 421, 201, 797, 1554, 4096, 738, 738, 4096, 749, 748, 501, 1132, 558 ]
"Let $\\mathcal{B}$ be the set of rectangular boxes with surface area $54$ and volume $23$. Let $r$ (...TRUNCATED)
721
["Let the dimensions of the box be $a$, $b$, and $c$. Then the surface area and volume of the box ar(...TRUNCATED)
["stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","length","stop"(...TRUNCATED)
[ 471, 781, 402, 504, 422, 560, 400, 468, 477, 640, 353, 375, 4096, 460, 390, 313 ]
"There exist real numbers $x$ and $y$, both greater than 1, such that $\\log_x\\left(y^x\\right)=\\l(...TRUNCATED)
025
["Let $u = \\log_x(y^x)$ and $v = \\log_y(x^{4y})$. We know that $u = v = 10$. Using the change of b(...TRUNCATED)
["stop","stop","stop","stop","stop","length","stop","stop","stop","stop","stop","stop","stop","stop"(...TRUNCATED)
[ 398, 525, 364, 280, 721, 4096, 267, 416, 705, 401, 190, 211, 382, 262, 498, 719 ]
"Alice and Bob play the following game. A stack of $n$ tokens lies before them. The players take tur(...TRUNCATED)
809
["\n1. **Understanding the Problem:**\n Alice and Bob play a game where a pile of \\( n \\) tokens(...TRUNCATED)
["stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","(...TRUNCATED)
[ 718, 981, 406, 609, 627, 566, 1337, 752, 914, 681, 546, 1396, 792, 551, 785, 1171 ]
"Jen enters a lottery by picking $4$ distinct numbers from $S=\\{1,2,3,\\cdots,9,10\\}.$ $4$ numbers(...TRUNCATED)
116
["Define the events:\n- $A$: Jen wins a prize (at least two numbers match the randomly chosen number(...TRUNCATED)
["stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","stop","(...TRUNCATED)
[ 582, 430, 433, 451, 466, 437, 428, 317, 527, 576, 322, 667, 490, 501, 367, 480 ]
End of preview.

AdaptiveSFT: baseline SFT-loss runs

Full fine-tuning runs of seven token-level SFT objectives (and the untrained base model) swept over learning rates, with their checkpoints, training logs, sampled eval outputs and scores, plus the exact training and eval sets. Code: https://github.com/jiarui-liu/adaptive-reasoning-loss (framework arl/, the commit of each run is in the tables).

Layout

data/sft/v1/<set>.jsonl                 training sets ({prompt, response[, source]})
data/sft/v1/eval_sets/<bench>.jsonl     eval sets ({problem, answer, kind, ...})
runs/<grid>/<method>_lr<lr>/
    final/                checkpoint (safetensors + tokenizer), loads with transformers / vLLM
    args.json             all training arguments
    train_log.jsonl       one row per optimizer step: loss, nll, grad norm, lr, tokens, method statistics
    train.log, eval.log   raw stdout of training / evaluation
    train.sbatch, eval.sbatch   the exact slurm scripts that produced the run
    eval/<bench>.jsonl    every sample per eval problem, finish reasons, token counts
    eval/scores.json      pass@1 / pass@k, mean length, truncation rate per bench

base rows evaluate the untrained starting model (no final/). Data builders: experiments/data/ (build_sets.py for the math sets, build_tulu.py for the Tulu subset and IFEval / GSM8K / MMLU / HumanEval+). Prompt formats: math sets use Problem: {prompt}\n\nSolution:\n; tulu3_50k uses <|user|>\n{prompt}\n<|assistant|>\n (arl/data.py).

Methods

method per-token objective
nll standard cross-entropy
dft NLL weighted by the model's own (stop-gradient) probability of the target token
focal focal loss, down-weights tokens the model is already confident on
trimsft NLL with part of the tokens trimmed from the loss
prift weights from the frozen starting model's probabilities (mode mass)
asft DFT weighting plus a KL anchor to the frozen starting model
psft PPO-style clipped ratio against the model a few steps ago (reference refreshed every 4 steps)

Scores are pass@1 in % (mean over samples). Runs appear here once their evaluation has finished.

s1_numina_q17

math reasoning distillation: Qwen3-1.7B-Base on numina_cot_20k (20k NuminaMath-CoT problems, one CoT solution each), 3 epochs, 64 seqs/step, max 4096 tokens; eval on math benchmarks

run method model lr method args aime24 aime25 amc23 math500 minerva olympiadbench code commit
nll_lr5e-6 nll Qwen3-1.7B-Base 5e-06 {} 1.7 1.9 26.6 52.5 17.9 22.6 28b0306 (inferred from start time)
nll_lr1e-5 nll Qwen3-1.7B-Base 1e-05 {} 1.7 1.0 27.0 52.8 17.6 22.4 28b0306 (inferred from start time)
nll_lr2e-5 nll Qwen3-1.7B-Base 2e-05 {} 1.0 2.1 26.9 50.0 16.5 21.7 28b0306 (inferred from start time)
nll_lr5e-5 nll Qwen3-1.7B-Base 5e-05 {} 1.0 0.8 22.8 47.0 16.2 17.8 28b0306 (inferred from start time)

Sources and licenses

Base model: Qwen/Qwen3-1.7B-Base (Apache-2.0). Training data are subsets of AI-MO/NuminaMath-CoT, open-r1/OpenR1-Math-220k and allenai/tulu-3-sft-mixture (ODC-BY; sub-sources keep their own licenses). Eval sets: MATH-500, Minerva Math, OlympiadBench, AMC23, AIME24/25, IFEval, GSM8K, MMLU, HumanEval+.

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