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Cannot load the dataset split (in streaming mode) to extract the first rows.
Error code:   StreamingRowsError
Exception:    CastError
Message:      Couldn't cast
seed_tag: string
n_prob: int64
metrics: struct<orm_rerank@1: double, oracle@1: double, orm_rerank@2: double, oracle@2: double, orm_rerank@4: (... 150 chars omitted)
  child 0, orm_rerank@1: double
  child 1, oracle@1: double
  child 2, orm_rerank@2: double
  child 3, oracle@2: double
  child 4, orm_rerank@4: double
  child 5, oracle@4: double
  child 6, orm_rerank@8: double
  child 7, oracle@8: double
  child 8, orm_rerank@16: double
  child 9, oracle@16: double
  child 10, orm_rerank@32: double
  child 11, oracle@32: double
per_problem_scores: struct<0: list<item: struct<correct: bool, orm_score: double>>, 1: list<item: struct<correct: bool,  (... 29296 chars omitted)
  child 0, 0: list<item: struct<correct: bool, orm_score: double>>
      child 0, item: struct<correct: bool, orm_score: double>
          child 0, correct: bool
          child 1, orm_score: double
  child 1, 1: list<item: struct<correct: bool, orm_score: double>>
      child 0, item: struct<correct: bool, orm_score: double>
          child 0, correct: bool
          child 1, orm_score: double
  child 2, 2: list<item: struct<correct: bool, orm_score: double>>
      child 0, item: struct<correct: bool, orm_score: double>
          child 0, correct: bool
          child 1, orm_score: double
  child 3, 3: list<item: struct<correct: bool, orm_score: double>>
      child 0, item: struct<correct: bool, orm_score: double>
          child 0, correct: bool
          child 1, orm_score: double
  child 4, 4: list<item: s
...
nt64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 2, N=8: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 3, N=16: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 4, N=32: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
s42: struct<N=2: struct<acc: double, n_correct: int64, n_total: int64>, N=4: struct<acc: double, n_correc (... 208 chars omitted)
  child 0, N=2: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 1, N=4: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 2, N=8: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 3, N=16: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
  child 4, N=32: struct<acc: double, n_correct: int64, n_total: int64>
      child 0, acc: double
      child 1, n_correct: int64
      child 2, n_total: int64
to
{'s42': {'N=2': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=4': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=8': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=16': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=32': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}}, 's43': {'N=2': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=4': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=8': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=16': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=32': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}}}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/src/worker/utils.py", line 99, in get_rows_or_raise
                  return get_rows(
                         ^^^^^^^^^
                File "/src/libs/libcommon/src/libcommon/utils.py", line 272, in decorator
                  return func(*args, **kwargs)
                         ^^^^^^^^^^^^^^^^^^^^^
                File "/src/services/worker/src/worker/utils.py", line 77, in get_rows
                  rows_plus_one = list(itertools.islice(ds, rows_max_number + 1))
                                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2690, in __iter__
                  for key, example in ex_iterable:
                                      ^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2227, in __iter__
                  for key, pa_table in self._iter_arrow():
                                       ^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2251, in _iter_arrow
                  for key, pa_table in self.ex_iterable._iter_arrow():
                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 494, in _iter_arrow
                  for key, pa_table in iterator:
                                       ^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 384, in _iter_arrow
                  for key, pa_table in self.generate_tables_fn(**gen_kwags):
                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 299, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/json/json.py", line 128, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2321, in table_cast
                  return cast_table_to_schema(table, schema)
                         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2249, in cast_table_to_schema
                  raise CastError(
              datasets.table.CastError: Couldn't cast
              seed_tag: string
              n_prob: int64
              metrics: struct<orm_rerank@1: double, oracle@1: double, orm_rerank@2: double, oracle@2: double, orm_rerank@4: (... 150 chars omitted)
                child 0, orm_rerank@1: double
                child 1, oracle@1: double
                child 2, orm_rerank@2: double
                child 3, oracle@2: double
                child 4, orm_rerank@4: double
                child 5, oracle@4: double
                child 6, orm_rerank@8: double
                child 7, oracle@8: double
                child 8, orm_rerank@16: double
                child 9, oracle@16: double
                child 10, orm_rerank@32: double
                child 11, oracle@32: double
              per_problem_scores: struct<0: list<item: struct<correct: bool, orm_score: double>>, 1: list<item: struct<correct: bool,  (... 29296 chars omitted)
                child 0, 0: list<item: struct<correct: bool, orm_score: double>>
                    child 0, item: struct<correct: bool, orm_score: double>
                        child 0, correct: bool
                        child 1, orm_score: double
                child 1, 1: list<item: struct<correct: bool, orm_score: double>>
                    child 0, item: struct<correct: bool, orm_score: double>
                        child 0, correct: bool
                        child 1, orm_score: double
                child 2, 2: list<item: struct<correct: bool, orm_score: double>>
                    child 0, item: struct<correct: bool, orm_score: double>
                        child 0, correct: bool
                        child 1, orm_score: double
                child 3, 3: list<item: struct<correct: bool, orm_score: double>>
                    child 0, item: struct<correct: bool, orm_score: double>
                        child 0, correct: bool
                        child 1, orm_score: double
                child 4, 4: list<item: s
              ...
              nt64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 2, N=8: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 3, N=16: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 4, N=32: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
              s42: struct<N=2: struct<acc: double, n_correct: int64, n_total: int64>, N=4: struct<acc: double, n_correc (... 208 chars omitted)
                child 0, N=2: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 1, N=4: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 2, N=8: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 3, N=16: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
                child 4, N=32: struct<acc: double, n_correct: int64, n_total: int64>
                    child 0, acc: double
                    child 1, n_correct: int64
                    child 2, n_total: int64
              to
              {'s42': {'N=2': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=4': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=8': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=16': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=32': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}}, 's43': {'N=2': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=4': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=8': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=16': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}, 'N=32': {'acc': Value('float64'), 'n_correct': Value('int64'), 'n_total': Value('int64')}}}
              because column names don't match

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Check out the documentation for more information.

MATH500 OOD Stress Test

GSM8K-trained ORM does not transfer to MATH500; Majority becomes the stronger baseline.

Files

  • math500_orm_rerank_s{42,43}.json — per-problem ORM scores on Vanilla N=32 trajectories.
  • math500_pareto_full.json — aggregated Pareto across N.
  • math500_rescored/s{42,43}_rescored.json — re-verified per-problem correctness via the LaTeX-robust math-verify grader.
  • math500_majority_aggregated_v3.json — Majority@N via canonical SymPy clustering. Recommended source for MATH500 Majority numbers.

Numbers (mean ± sample std)

Method (n_seeds) N=2 N=4 N=8 N=16 N=32
Majority@N (n=2) 7.10 ± 0.99 8.70 ± 1.56 13.20 ± 0.28 15.40 ± 1.13 17.20 ± 0.85
ORM Rerank@N (n=2) 6.60 ± 0.57 7.40 ± 1.13 6.70 ± 0.71 7.50 ± 1.84 6.10 ± 0.14
PRM-Guided K=N, be=64 13.45 ± 0.68 (n=4) 14.00 ± 1.23 (n=4) 13.72 ± 0.84 (n=5) 14.35 ± 0.41 (n=4) 15.00 ± 1.13 (n=2)
Oracle@N (n=2) 12.00 ± 0.57 21.90 ± 0.99 31.10 ± 0.14 42.70 ± 0.14 54.10 ± 0.14

Vanilla N=1 = 6.90% (1 seed). At N=1, Majority/ORM/Oracle reduce to Vanilla.

Sampler caveat

Vanilla MATH500 uses temperature 1.0, alg_temp 0; PRM-Guided uses temperature 0.5, alg_temp 0.5. MATH500 is OOD, not sampler-controlled.

Reproduce

python -m src.prm.score_math500_orm \
    --seed_tag s42 \
    --orm_checkpoint <path-to-bidir-orm-dream7b>

python -m src.evaluation.aggregate_math500_majority \
    --trajectory_dir ./data/prm_trajectories \
    --output_path ./eval_results/math500_majority.json \
    --seed_tags 42,43
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