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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
id: string
family: string
difficulty: int64
n_agents: int64
answer_type: string
global_solution: string
global_metadata: string
agent_views: list<item: struct<agent_id: string, private_data: struct<unknowns: list<item: string>, externals: li (... 96 chars omitted)
  child 0, item: struct<agent_id: string, private_data: struct<unknowns: list<item: string>, externals: list<item: nu (... 84 chars omitted)
      child 0, agent_id: string
      child 1, private_data: struct<unknowns: list<item: string>, externals: list<item: null>, constraints_text: list<item: strin (... 44 chars omitted)
          child 0, unknowns: list<item: string>
              child 0, item: string
          child 1, externals: list<item: null>
              child 0, item: null
          child 2, constraints_text: list<item: string>
              child 0, item: string
          child 3, constraints_machine: list<item: string>
              child 0, item: string
minimal_hint_spec: struct<k_min: int64, atomic_hints: list<item: string>>
  child 0, k_min: int64
  child 1, atomic_hints: list<item: string>
      child 0, item: string
few_shot_examples: list<item: struct<family: string, difficulty: int64, constraints: list<item: string>, unknowns: list (... 320 chars omitted)
  child 0, item: struct<family: string, difficulty: int64, constraints: list<item: string>, unknowns: list<item: stri (... 308 chars omitted)
      child 0, family: string
      child 1, difficulty: int64
      child 2, constraints: list<item: string>
          child 0, item: string
      child 3, unknowns: list<item: string>
          child 0, item: string
      child 4, request: string
      child 5, hint: string
      child 6, answer: struct<numerator: int64, denominator: int64, x: int64, value: int64, e01: int64, e12: int64, e20: in (... 142 chars omitted)
          child 0, numerator: int64
          child 1, denominator: int64
          child 2, x: int64
          child 3, value: int64
          child 4, e01: int64
          child 5, e12: int64
          child 6, e20: int64
          child 7, a: int64
          child 8, b: int64
          child 9, c: int64
          child 10, q0: int64
          child 11, q1: int64
          child 12, q2: int64
          child 13, x0: int64
          child 14, x1: int64
          child 15, x2: int64
          child 16, x3: int64
          child 17, y: int64
          child 18, z: int64
          child 19, x4: int64
      child 7, answer_type: string
to
{'id': Value('string'), 'family': Value('string'), 'difficulty': Value('int64'), 'n_agents': Value('int64'), 'answer_type': Value('string'), 'global_solution': Json(decode=True), 'global_metadata': Json(decode=True), 'agent_views': List({'agent_id': Value('string'), 'private_data': {'unknowns': List(Value('string')), 'externals': List(Value('null')), 'constraints_text': List(Value('string')), 'constraints_machine': List(Json(decode=True))}}), 'minimal_hint_spec': {'k_min': Value('int64'), 'atomic_hints': List(Json(decode=True))}}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1816, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, 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 2369, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              id: string
              family: string
              difficulty: int64
              n_agents: int64
              answer_type: string
              global_solution: string
              global_metadata: string
              agent_views: list<item: struct<agent_id: string, private_data: struct<unknowns: list<item: string>, externals: li (... 96 chars omitted)
                child 0, item: struct<agent_id: string, private_data: struct<unknowns: list<item: string>, externals: list<item: nu (... 84 chars omitted)
                    child 0, agent_id: string
                    child 1, private_data: struct<unknowns: list<item: string>, externals: list<item: null>, constraints_text: list<item: strin (... 44 chars omitted)
                        child 0, unknowns: list<item: string>
                            child 0, item: string
                        child 1, externals: list<item: null>
                            child 0, item: null
                        child 2, constraints_text: list<item: string>
                            child 0, item: string
                        child 3, constraints_machine: list<item: string>
                            child 0, item: string
              minimal_hint_spec: struct<k_min: int64, atomic_hints: list<item: string>>
                child 0, k_min: int64
                child 1, atomic_hints: list<item: string>
                    child 0, item: string
              few_shot_examples: list<item: struct<family: string, difficulty: int64, constraints: list<item: string>, unknowns: list (... 320 chars omitted)
                child 0, item: struct<family: string, difficulty: int64, constraints: list<item: string>, unknowns: list<item: stri (... 308 chars omitted)
                    child 0, family: string
                    child 1, difficulty: int64
                    child 2, constraints: list<item: string>
                        child 0, item: string
                    child 3, unknowns: list<item: string>
                        child 0, item: string
                    child 4, request: string
                    child 5, hint: string
                    child 6, answer: struct<numerator: int64, denominator: int64, x: int64, value: int64, e01: int64, e12: int64, e20: in (... 142 chars omitted)
                        child 0, numerator: int64
                        child 1, denominator: int64
                        child 2, x: int64
                        child 3, value: int64
                        child 4, e01: int64
                        child 5, e12: int64
                        child 6, e20: int64
                        child 7, a: int64
                        child 8, b: int64
                        child 9, c: int64
                        child 10, q0: int64
                        child 11, q1: int64
                        child 12, q2: int64
                        child 13, x0: int64
                        child 14, x1: int64
                        child 15, x2: int64
                        child 16, x3: int64
                        child 17, y: int64
                        child 18, z: int64
                        child 19, x4: int64
                    child 7, answer_type: string
              to
              {'id': Value('string'), 'family': Value('string'), 'difficulty': Value('int64'), 'n_agents': Value('int64'), 'answer_type': Value('string'), 'global_solution': Json(decode=True), 'global_metadata': Json(decode=True), 'agent_views': List({'agent_id': Value('string'), 'private_data': {'unknowns': List(Value('string')), 'externals': List(Value('null')), 'constraints_text': List(Value('string')), 'constraints_machine': List(Json(decode=True))}}), 'minimal_hint_spec': {'k_min': Value('int64'), 'atomic_hints': List(Json(decode=True))}}
              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 1369, 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 948, 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 1683, 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 1869, 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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id
string
family
string
difficulty
int64
n_agents
int64
answer_type
string
global_solution
unknown
global_metadata
unknown
agent_views
list
minimal_hint_spec
dict
bay-000000
bayes_missing_prior
1
2
dict_int
{ "numerator": 2, "denominator": 5 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 1, "fpr_denom": 2, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000001
bayes_missing_prior
1
2
dict_int
{ "numerator": 36, "denominator": 41 }
{ "sens_num": 4, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 3, "prior_num": 3, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 4/5", "P(E|not_H) = 1/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 4, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000002
bayes_missing_prior
1
2
dict_int
{ "numerator": 3, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 1, "fpr_denom": 3, "prior_num": 1, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 1/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000003
bayes_missing_prior
1
2
dict_int
{ "numerator": 1, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 3, "fpr_denom": 4, "prior_num": 1, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000004
bayes_missing_prior
1
2
dict_int
{ "numerator": 12, "denominator": 17 }
{ "sens_num": 3, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 4, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/5", "P(E|not_H) = 1/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000005
bayes_missing_prior
1
2
dict_int
{ "numerator": 8, "denominator": 13 }
{ "sens_num": 2, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 2, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/5", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000006
bayes_missing_prior
1
2
dict_int
{ "numerator": 1, "denominator": 2 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 1, "fpr_denom": 3, "prior_num": 2, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 1/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000007
bayes_missing_prior
1
2
dict_int
{ "numerator": 10, "denominator": 19 }
{ "sens_num": 2, "sens_denom": 3, "fpr_num": 1, "fpr_denom": 5, "prior_num": 1, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/3", "P(E|not_H) = 1/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000008
bayes_missing_prior
1
2
dict_int
{ "numerator": 3, "denominator": 4 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 1, "fpr_denom": 4, "prior_num": 3, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 1/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000009
bayes_missing_prior
1
2
dict_int
{ "numerator": 1, "denominator": 10 }
{ "sens_num": 1, "sens_denom": 5, "fpr_num": 3, "fpr_denom": 5, "prior_num": 1, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/5", "P(E|not_H) = 3/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000010
bayes_missing_prior
1
2
dict_int
{ "numerator": 12, "denominator": 17 }
{ "sens_num": 4, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 2, "prior_num": 3, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 4/5", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 4, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000011
bayes_missing_prior
1
2
dict_int
{ "numerator": 24, "denominator": 29 }
{ "sens_num": 3, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 4, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/5", "P(E|not_H) = 1/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000012
bayes_missing_prior
1
2
dict_int
{ "numerator": 4, "denominator": 9 }
{ "sens_num": 1, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 2, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/5", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000013
bayes_missing_prior
1
2
dict_int
{ "numerator": 2, "denominator": 3 }
{ "sens_num": 2, "sens_denom": 3, "fpr_num": 1, "fpr_denom": 2, "prior_num": 3, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/3", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000014
bayes_missing_prior
1
2
dict_int
{ "numerator": 5, "denominator": 11 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 2, "fpr_denom": 5, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 2/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000015
bayes_missing_prior
1
2
dict_int
{ "numerator": 5, "denominator": 17 }
{ "sens_num": 1, "sens_denom": 4, "fpr_num": 2, "fpr_denom": 5, "prior_num": 2, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/4", "P(E|not_H) = 2/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000016
bayes_missing_prior
1
2
dict_int
{ "numerator": 3, "denominator": 5 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 2, "fpr_denom": 3, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000017
bayes_missing_prior
1
2
dict_int
{ "numerator": 1, "denominator": 2 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 1, "fpr_denom": 2, "prior_num": 3, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000018
bayes_missing_prior
1
2
dict_int
{ "numerator": 1, "denominator": 5 }
{ "sens_num": 1, "sens_denom": 4, "fpr_num": 1, "fpr_denom": 2, "prior_num": 1, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/4", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000019
bayes_missing_prior
1
2
dict_int
{ "numerator": 5, "denominator": 17 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 4, "fpr_denom": 5, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 4/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000020
bayes_missing_prior
2
2
dict_int
{ "numerator": 2, "denominator": 5 }
{ "sens_num": 2, "sens_denom": 3, "fpr_num": 3, "fpr_denom": 4, "prior_num": 3, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/3", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000021
bayes_missing_prior
2
2
dict_int
{ "numerator": 63, "denominator": 163 }
{ "sens_num": 3, "sens_denom": 5, "fpr_num": 5, "fpr_denom": 7, "prior_num": 3, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/5", "P(E|not_H) = 5/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000022
bayes_missing_prior
2
2
dict_int
{ "numerator": 5, "denominator": 21 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 4, "fpr_denom": 5, "prior_num": 1, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 4/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000023
bayes_missing_prior
2
2
dict_int
{ "numerator": 7, "denominator": 31 }
{ "sens_num": 1, "sens_denom": 6, "fpr_num": 4, "fpr_denom": 7, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/6", "P(E|not_H) = 4/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000024
bayes_missing_prior
2
2
dict_int
{ "numerator": 3, "denominator": 11 }
{ "sens_num": 3, "sens_denom": 4, "fpr_num": 2, "fpr_denom": 3, "prior_num": 1, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/4", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000025
bayes_missing_prior
2
2
dict_int
{ "numerator": 15, "denominator": 31 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 4, "fpr_denom": 5, "prior_num": 3, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 4/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000026
bayes_missing_prior
2
2
dict_int
{ "numerator": 6, "denominator": 13 }
{ "sens_num": 4, "sens_denom": 7, "fpr_num": 2, "fpr_denom": 3, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 4/7", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 4, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000027
bayes_missing_prior
2
2
dict_int
{ "numerator": 16, "denominator": 25 }
{ "sens_num": 2, "sens_denom": 3, "fpr_num": 1, "fpr_denom": 2, "prior_num": 4, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/3", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 4, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000028
bayes_missing_prior
2
2
dict_int
{ "numerator": 15, "denominator": 31 }
{ "sens_num": 1, "sens_denom": 4, "fpr_num": 2, "fpr_denom": 3, "prior_num": 5, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/4", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 5, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000029
bayes_missing_prior
2
2
dict_int
{ "numerator": 1, "denominator": 4 }
{ "sens_num": 1, "sens_denom": 7, "fpr_num": 4, "fpr_denom": 7, "prior_num": 4, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/7", "P(E|not_H) = 4/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 4, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000030
bayes_missing_prior
2
2
dict_int
{ "numerator": 5, "denominator": 17 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 1, "fpr_denom": 5, "prior_num": 1, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 1/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000031
bayes_missing_prior
2
2
dict_int
{ "numerator": 4, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 3, "fpr_denom": 4, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000032
bayes_missing_prior
2
2
dict_int
{ "numerator": 4, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 3, "fpr_denom": 4, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000033
bayes_missing_prior
2
2
dict_int
{ "numerator": 6, "denominator": 11 }
{ "sens_num": 3, "sens_denom": 5, "fpr_num": 1, "fpr_denom": 2, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/5", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000034
bayes_missing_prior
2
2
dict_int
{ "numerator": 1, "denominator": 2 }
{ "sens_num": 1, "sens_denom": 4, "fpr_num": 1, "fpr_denom": 2, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/4", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000035
bayes_missing_prior
2
2
dict_int
{ "numerator": 4, "denominator": 13 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 3, "fpr_denom": 4, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000036
bayes_missing_prior
2
2
dict_int
{ "numerator": 1, "denominator": 4 }
{ "sens_num": 1, "sens_denom": 6, "fpr_num": 1, "fpr_denom": 2, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/6", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000037
bayes_missing_prior
2
2
dict_int
{ "numerator": 16, "denominator": 43 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 3, "fpr_denom": 4, "prior_num": 4, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 4, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000038
bayes_missing_prior
2
2
dict_int
{ "numerator": 20, "denominator": 41 }
{ "sens_num": 5, "sens_denom": 7, "fpr_num": 3, "fpr_denom": 4, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/7", "P(E|not_H) = 3/4" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000039
bayes_missing_prior
2
2
dict_int
{ "numerator": 7, "denominator": 22 }
{ "sens_num": 4, "sens_denom": 5, "fpr_num": 6, "fpr_denom": 7, "prior_num": 1, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 4/5", "P(E|not_H) = 6/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 4, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000040
bayes_missing_prior
3
2
dict_int
{ "numerator": 5, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 3, "fpr_num": 2, "fpr_denom": 5, "prior_num": 3, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/3", "P(E|not_H) = 2/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000041
bayes_missing_prior
3
2
dict_int
{ "numerator": 18, "denominator": 19 }
{ "sens_num": 2, "sens_denom": 7, "fpr_num": 1, "fpr_denom": 9, "prior_num": 7, "prior_denom": 8 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/7", "P(E|not_H) = 1/9" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 7, "denom": 8, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000042
bayes_missing_prior
3
2
dict_int
{ "numerator": 8, "denominator": 15 }
{ "sens_num": 6, "sens_denom": 7, "fpr_num": 1, "fpr_denom": 8, "prior_num": 1, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 6/7", "P(E|not_H) = 1/8" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 6, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000043
bayes_missing_prior
3
2
dict_int
{ "numerator": 28, "denominator": 53 }
{ "sens_num": 2, "sens_denom": 5, "fpr_num": 5, "fpr_denom": 7, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/5", "P(E|not_H) = 5/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000044
bayes_missing_prior
3
2
dict_int
{ "numerator": 10, "denominator": 37 }
{ "sens_num": 1, "sens_denom": 9, "fpr_num": 1, "fpr_denom": 2, "prior_num": 5, "prior_denom": 8 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/9", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 5, "denom": 8, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000045
bayes_missing_prior
3
2
dict_int
{ "numerator": 3, "denominator": 5 }
{ "sens_num": 3, "sens_denom": 8, "fpr_num": 1, "fpr_denom": 2, "prior_num": 2, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 3/8", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 3, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000046
bayes_missing_prior
3
2
dict_int
{ "numerator": 5, "denominator": 21 }
{ "sens_num": 5, "sens_denom": 7, "fpr_num": 4, "fpr_denom": 7, "prior_num": 1, "prior_denom": 5 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/7", "P(E|not_H) = 4/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000047
bayes_missing_prior
3
2
dict_int
{ "numerator": 5, "denominator": 17 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 2, "fpr_denom": 5, "prior_num": 1, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 2/5" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000048
bayes_missing_prior
3
2
dict_int
{ "numerator": 3, "denominator": 7 }
{ "sens_num": 1, "sens_denom": 6, "fpr_num": 2, "fpr_denom": 3, "prior_num": 3, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/6", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000049
bayes_missing_prior
3
2
dict_int
{ "numerator": 21, "denominator": 37 }
{ "sens_num": 1, "sens_denom": 2, "fpr_num": 2, "fpr_denom": 7, "prior_num": 3, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 1/2", "P(E|not_H) = 2/7" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 1, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000050
bayes_missing_prior
3
2
dict_int
{ "numerator": 6, "denominator": 13 }
{ "sens_num": 5, "sens_denom": 7, "fpr_num": 1, "fpr_denom": 6, "prior_num": 1, "prior_denom": 6 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/7", "P(E|not_H) = 1/6" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 6, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000051
bayes_missing_prior
3
2
dict_int
{ "numerator": 10, "denominator": 17 }
{ "sens_num": 5, "sens_denom": 7, "fpr_num": 1, "fpr_denom": 2, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/7", "P(E|not_H) = 1/2" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000052
bayes_missing_prior
3
2
dict_int
{ "numerator": 18, "denominator": 43 }
{ "sens_num": 2, "sens_denom": 5, "fpr_num": 5, "fpr_denom": 9, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/5", "P(E|not_H) = 5/9" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000053
bayes_missing_prior
3
2
dict_int
{ "numerator": 45, "denominator": 109 }
{ "sens_num": 5, "sens_denom": 8, "fpr_num": 8, "fpr_denom": 9, "prior_num": 1, "prior_denom": 2 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/8", "P(E|not_H) = 8/9" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000054
bayes_missing_prior
3
2
dict_int
{ "numerator": 60, "denominator": 67 }
{ "sens_num": 5, "sens_denom": 7, "fpr_num": 2, "fpr_denom": 3, "prior_num": 8, "prior_denom": 9 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 5/7", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 5, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 8, "denom": 9, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000055
bayes_missing_prior
3
2
dict_int
{ "numerator": 8, "denominator": 17 }
{ "sens_num": 8, "sens_denom": 9, "fpr_num": 1, "fpr_denom": 3, "prior_num": 1, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 8/9", "P(E|not_H) = 1/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 8, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000056
bayes_missing_prior
3
2
dict_int
{ "numerator": 8, "denominator": 17 }
{ "sens_num": 2, "sens_denom": 3, "fpr_num": 3, "fpr_denom": 8, "prior_num": 1, "prior_denom": 3 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/3", "P(E|not_H) = 3/8" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 1, "denom": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000057
bayes_missing_prior
3
2
dict_int
{ "numerator": 8, "denominator": 13 }
{ "sens_num": 4, "sens_denom": 5, "fpr_num": 2, "fpr_denom": 3, "prior_num": 4, "prior_denom": 7 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 4/5", "P(E|not_H) = 2/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 4, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 4, "denom": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000058
bayes_missing_prior
3
2
dict_int
{ "numerator": 4, "denominator": 25 }
{ "sens_num": 2, "sens_denom": 9, "fpr_num": 1, "fpr_denom": 3, "prior_num": 2, "prior_denom": 9 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/9", "P(E|not_H) = 1/3" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 2, "denom": 9, "providers": [ "B" ], "consumers": [ "A" ] } ] }
bay-000059
bayes_missing_prior
3
2
dict_int
{ "numerator": 16, "denominator": 23 }
{ "sens_num": 2, "sens_denom": 7, "fpr_num": 3, "fpr_denom": 8, "prior_num": 3, "prior_denom": 4 }
[ { "agent_id": "A", "private_data": { "unknowns": [ "P_H_given_E" ], "externals": [], "constraints_text": [ "P(E|H) = 2/7", "P(E|not_H) = 3/8" ], "constraints_machine": [ { "type": "likelihood_pos", "num": 2, "d...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "prior", "num": 3, "denom": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000060
crt_reconstruction
1
2
dict_int
{ "x": 85 }
{ "variable": "x", "range": [ 0, 595 ], "moduli": [ 5, 7, 17 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 5)", "x ≡ 1 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 17, "residue": 0, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000061
crt_reconstruction
1
2
dict_int
{ "x": 1417 }
{ "variable": "x", "range": [ 0, 2431 ], "moduli": [ 13, 17, 11 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 13)", "x ≡ 6 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 13, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 11, "residue": 9, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000062
crt_reconstruction
1
2
dict_int
{ "x": 23 }
{ "variable": "x", "range": [ 0, 105 ], "moduli": [ 5, 7, 3 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 3 (mod 5)", "x ≡ 2 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 3, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000063
crt_reconstruction
1
2
dict_int
{ "x": 341 }
{ "variable": "x", "range": [ 0, 455 ], "moduli": [ 5, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 5)", "x ≡ 5 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000064
crt_reconstruction
1
2
dict_int
{ "x": 276 }
{ "variable": "x", "range": [ 0, 595 ], "moduli": [ 5, 17, 7 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 5)", "x ≡ 4 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 7, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000065
crt_reconstruction
1
2
dict_int
{ "x": 272 }
{ "variable": "x", "range": [ 0, 935 ], "moduli": [ 17, 11, 5 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 17)", "x ≡ 8 (mod 11)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 5, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000066
crt_reconstruction
1
2
dict_int
{ "x": 260 }
{ "variable": "x", "range": [ 0, 273 ], "moduli": [ 13, 3, 7 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 13)", "x ≡ 2 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 13, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 7, "residue": 1, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000067
crt_reconstruction
1
2
dict_int
{ "x": 1545 }
{ "variable": "x", "range": [ 0, 2431 ], "moduli": [ 17, 11, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 15 (mod 17)", "x ≡ 5 (mod 11)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 11, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000068
crt_reconstruction
1
2
dict_int
{ "x": 1141 }
{ "variable": "x", "range": [ 0, 1729 ], "moduli": [ 19, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 19)", "x ≡ 0 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 10, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000069
crt_reconstruction
1
2
dict_int
{ "x": 1250 }
{ "variable": "x", "range": [ 0, 2431 ], "moduli": [ 17, 11, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 9 (mod 17)", "x ≡ 7 (mod 11)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000070
crt_reconstruction
1
2
dict_int
{ "x": 363 }
{ "variable": "x", "range": [ 0, 1105 ], "moduli": [ 5, 17, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 3 (mod 5)", "x ≡ 6 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 12, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000071
crt_reconstruction
1
2
dict_int
{ "x": 288 }
{ "variable": "x", "range": [ 0, 429 ], "moduli": [ 13, 3, 11 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 2 (mod 13)", "x ≡ 0 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 13, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 11, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000072
crt_reconstruction
1
2
dict_int
{ "x": 121 }
{ "variable": "x", "range": [ 0, 195 ], "moduli": [ 3, 5, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 3)", "x ≡ 1 (mod 5)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000073
crt_reconstruction
1
2
dict_int
{ "x": 1211 }
{ "variable": "x", "range": [ 0, 2261 ], "moduli": [ 19, 7, 17 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 14 (mod 19)", "x ≡ 0 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 17, "residue": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000074
crt_reconstruction
1
2
dict_int
{ "x": 844 }
{ "variable": "x", "range": [ 0, 4199 ], "moduli": [ 19, 17, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 8 (mod 19)", "x ≡ 11 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 12, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000075
crt_reconstruction
1
2
dict_int
{ "x": 88 }
{ "variable": "x", "range": [ 0, 195 ], "moduli": [ 5, 3, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 3 (mod 5)", "x ≡ 1 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 10, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000076
crt_reconstruction
1
2
dict_int
{ "x": 1829 }
{ "variable": "x", "range": [ 0, 2717 ], "moduli": [ 11, 13, 19 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 3 (mod 11)", "x ≡ 9 (mod 13)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 11, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 19, "residue": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000077
crt_reconstruction
1
2
dict_int
{ "x": 146 }
{ "variable": "x", "range": [ 0, 455 ], "moduli": [ 5, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 5)", "x ≡ 6 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000078
crt_reconstruction
1
2
dict_int
{ "x": 312 }
{ "variable": "x", "range": [ 0, 1001 ], "moduli": [ 11, 13, 7 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 4 (mod 11)", "x ≡ 0 (mod 13)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 11, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 7, "residue": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000079
crt_reconstruction
1
2
dict_int
{ "x": 413 }
{ "variable": "x", "range": [ 0, 1615 ], "moduli": [ 19, 5, 17 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 14 (mod 19)", "x ≡ 3 (mod 5)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 17, "residue": 5, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000080
crt_reconstruction
1
2
dict_int
{ "x": 1676 }
{ "variable": "x", "range": [ 0, 1729 ], "moduli": [ 13, 19, 7 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 12 (mod 13)", "x ≡ 4 (mod 19)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 13, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 7, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000081
crt_reconstruction
1
2
dict_int
{ "x": 309 }
{ "variable": "x", "range": [ 0, 663 ], "moduli": [ 13, 17, 3 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 10 (mod 13)", "x ≡ 3 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 13, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 3, "residue": 0, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000082
crt_reconstruction
1
2
dict_int
{ "x": 1367 }
{ "variable": "x", "range": [ 0, 3553 ], "moduli": [ 19, 17, 11 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 18 (mod 19)", "x ≡ 7 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 11, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000083
crt_reconstruction
1
2
dict_int
{ "x": 730 }
{ "variable": "x", "range": [ 0, 1001 ], "moduli": [ 11, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 4 (mod 11)", "x ≡ 2 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 11, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000084
crt_reconstruction
1
2
dict_int
{ "x": 3104 }
{ "variable": "x", "range": [ 0, 3553 ], "moduli": [ 17, 11, 19 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 10 (mod 17)", "x ≡ 2 (mod 11)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 19, "residue": 7, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000085
crt_reconstruction
1
2
dict_int
{ "x": 754 }
{ "variable": "x", "range": [ 0, 1001 ], "moduli": [ 11, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 6 (mod 11)", "x ≡ 5 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 11, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 0, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000086
crt_reconstruction
1
2
dict_int
{ "x": 432 }
{ "variable": "x", "range": [ 0, 663 ], "moduli": [ 3, 17, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 3)", "x ≡ 7 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000087
crt_reconstruction
1
2
dict_int
{ "x": 266 }
{ "variable": "x", "range": [ 0, 627 ], "moduli": [ 11, 3, 19 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 2 (mod 11)", "x ≡ 2 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 11, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 19, "residue": 0, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000088
crt_reconstruction
1
2
dict_int
{ "x": 179 }
{ "variable": "x", "range": [ 0, 195 ], "moduli": [ 5, 3, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 4 (mod 5)", "x ≡ 2 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 5, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 10, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000089
crt_reconstruction
1
2
dict_int
{ "x": 53 }
{ "variable": "x", "range": [ 0, 741 ], "moduli": [ 3, 13, 19 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 2 (mod 3)", "x ≡ 1 (mod 13)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 19, "residue": 15, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000090
crt_reconstruction
1
2
dict_int
{ "x": 315 }
{ "variable": "x", "range": [ 0, 741 ], "moduli": [ 19, 13, 3 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 11 (mod 19)", "x ≡ 3 (mod 13)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 3, "residue": 0, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000091
crt_reconstruction
1
2
dict_int
{ "x": 491 }
{ "variable": "x", "range": [ 0, 595 ], "moduli": [ 17, 7, 5 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 15 (mod 17)", "x ≡ 1 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 5, "residue": 1, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000092
crt_reconstruction
1
2
dict_int
{ "x": 177 }
{ "variable": "x", "range": [ 0, 273 ], "moduli": [ 3, 7, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 3)", "x ≡ 2 (mod 7)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 8, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000093
crt_reconstruction
1
2
dict_int
{ "x": 337 }
{ "variable": "x", "range": [ 0, 357 ], "moduli": [ 3, 17, 7 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 3)", "x ≡ 14 (mod 17)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 7, "residue": 1, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000094
crt_reconstruction
1
2
dict_int
{ "x": 406 }
{ "variable": "x", "range": [ 0, 455 ], "moduli": [ 7, 5, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 7)", "x ≡ 1 (mod 5)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 7, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000095
crt_reconstruction
1
2
dict_int
{ "x": 2446 }
{ "variable": "x", "range": [ 0, 4199 ], "moduli": [ 17, 19, 13 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 15 (mod 17)", "x ≡ 14 (mod 19)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 17, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 13, "residue": 2, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000096
crt_reconstruction
1
2
dict_int
{ "x": 144 }
{ "variable": "x", "range": [ 0, 165 ], "moduli": [ 3, 5, 11 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 0 (mod 3)", "x ≡ 4 (mod 5)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 3, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 11, "residue": 1, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000097
crt_reconstruction
1
2
dict_int
{ "x": 1391 }
{ "variable": "x", "range": [ 0, 3553 ], "moduli": [ 19, 11, 17 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 4 (mod 19)", "x ≡ 5 (mod 11)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 17, "residue": 14, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000098
crt_reconstruction
1
2
dict_int
{ "x": 269 }
{ "variable": "x", "range": [ 0, 285 ], "moduli": [ 19, 3, 5 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 3 (mod 19)", "x ≡ 2 (mod 3)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 19, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 5, "residue": 4, "providers": [ "B" ], "consumers": [ "A" ] } ] }
crt-000099
crt_reconstruction
1
2
dict_int
{ "x": 190 }
{ "variable": "x", "range": [ 0, 385 ], "moduli": [ 7, 5, 11 ] }
[ { "agent_id": "A", "private_data": { "unknowns": [ "x" ], "externals": [], "constraints_text": [ "x ≡ 1 (mod 7)", "x ≡ 0 (mod 5)" ], "constraints_machine": [ { "type": "congruence", "var": "x", "mod": 7, ...
{ "k_min": 1, "atomic_hints": [ { "hint_id": "h1", "kind": "congruence", "var": "x", "mod": 11, "residue": 3, "providers": [ "B" ], "consumers": [ "A" ] } ] }
End of preview.

MIRA-Math

MIRA-Math is a synthetic benchmark for minimal information requesting and mathematical reasoning. It evaluates a narrow diagnostic capability: when a mathematical problem is underdetermined from the solver's view, can a model identify the exact missing atomic fact, ask for it precisely, and then use it to compute the correct final answer?

Each instance is generated from a complete latent mathematical state with a unique answer. The solver, called Agent A in the reference codebase, receives a private view with exactly one necessary atomic fact removed. The information holder, called Agent B, receives only that withheld fact. In the reference evaluation protocol, Agent A may issue natural-language requests under a strict request budget. Agent B is a fixed constrained responder: it must either return an offer containing the quoted private constraint when the request semantically matches the fact it holds, or return a decline otherwise.

MIRA-Math is therefore not a general multi-agent collaboration benchmark. The responder does not solve, explain, negotiate, or volunteer extra hints. The benchmark is designed to isolate three separable skills:

  1. recognizing that information is missing,
  2. formulating a precise request for the missing fact, and
  3. integrating the returned fact into an exact mathematical solution.

The generators, typed hint specifications, instance validators, and final-answer verifiers are deterministic. Request-side metrics are measured under the fixed LLM-mediated responder channel used by the reference runner.

Dataset files

This Hugging Face repository hosts the frozen generated JSONL files for the paper release.

File Instances Prompt regime Description
family_types_20_50.jsonl 2,310 zero-shot Main 20/50 typed benchmark instances with zero-shot solver prompts.
family_types_20_50_few_shot.jsonl 2,310 four-shot Same benchmark composition with four-shot prompt formatting.

The two files are prompt-regime variants, not train/test splits. Both use the same paper-style 20/50 typed construction:

11 Type-A families x 3 difficulties x 20 instances =   660 instances
11 Type-B families x 3 difficulties x 50 instances = 1,650 instances
Total                                                   2,310 instances

Loading the dataset

from datasets import load_dataset

dataset = load_dataset("samersaabjr/MIRA-MATH")
print(dataset)

If you want to load the files explicitly as named splits:

from datasets import load_dataset

dataset = load_dataset(
    "json",
    data_files={
        "zero_shot": "https://huggingface.co/datasets/samersaabjr/MIRA-MATH/resolve/main/family_types_20_50.jsonl",
        "four_shot": "https://huggingface.co/datasets/samersaabjr/MIRA-MATH/resolve/main/family_types_20_50_few_shot.jsonl",
    },
)

print(dataset["zero_shot"][0])

Reference codebase

The reference implementation, generators, validators, verifiers, scoring utilities, prompts, and evaluation runners are available at:

GitHub: https://github.com/cedar-lau/mira-math

Use the GitHub codebase to regenerate the benchmark from fixed seeds, validate instances, run the constrained responder protocol, and reproduce paper-style aggregate tables.

Dataset structure

Each JSONL row contains one MIRA-Math instance. The main top-level fields are:

Field Meaning
id Unique instance identifier.
family Problem-family name.
difficulty Difficulty level, usually 1, 2, or 3.
n_agents Number of agent views, currently 2.
answer_type Expected answer format used by the verifier/scorer.
global_solution Exact ground-truth answer.
global_metadata Family-specific metadata needed for validation or analysis.
agent_views Private views for Agent A and Agent B.
minimal_hint_spec Machine-readable typed atomic hint specification.

The key construction is:

  • Agent A's private view is locally underdetermined.
  • Agent B holds the atomic fact needed by Agent A.
  • Agent A's view plus the canonical atomic hint determines a unique answer.
  • The final answer is checked with exact family-specific normalization rather than loose string matching.

Family taxonomy

MIRA-Math contains 22 typed mathematical families split into fixed-slot and variable-slot regimes.

Type A: fixed missing-information slot

In Type-A families, the missing slot is structurally fixed by the family. The solver must identify the needed kind of fact and integrate it correctly.

Family Target Canonical missing fact
bayes_missing_prior Posterior probability Prior P(H)
crt_reconstruction Integer satisfying congruences Third congruence
geometry_coordinates Distance from an intersection point Second line equation
graph_path_sums Triangle edge weights Third path-sum equation
linear_system_separator Full variable assignment Separator variable value, usually c
matrix_completion Missing matrix entry Fixed matrix entry m[1][0]
moment_problem Three-point distribution Second-moment equation
phase_retrieval Length-4 signal Sign of x0
piecewise_missing_threshold Piecewise function value Threshold t
rankdef_linear_shared Full linear-system solution Additional equation
recurrence_missing_init Recurrence value Initial condition a(1)

Type B: variable missing-information slot

In Type-B families, the missing slot varies by instance. The solver must inspect the current problem, localize the absent slot, and request that exact slot.

Family Target Canonical missing fact
birth_death_missing_rate Stationary probability One birth/death rate
circuit_missing_resistance Equivalent resistance One resistor value
deconvolution Source signal One convolution output measurement
discrete_tomography Target grid-cell value One resolving grid-cell value
eigenvector_missing_entry Matrix-derived target value One matrix entry
laplace_grid Interior grid value One boundary value
linear_system_missing_coeff Solution component One matrix coefficient
markov_missing_transition Stationary probability One transition probability
poly_interpolation Polynomial value at a query point One interpolation pair
portfolio_variance_missing_corr Portfolio variance One pairwise correlation
steady_state_missing_emission HMM observation probability One emission probability

Generation and reproducibility

The paper-style files in this repository are generated by the typed generator with:

  • family mix: typed,
  • Type-A count: 20 instances per difficulty and family,
  • Type-B count: 50 instances per difficulty and family,
  • difficulties: 1,2,3,
  • generation seed: 1234,
  • prompt regimes: zero-shot and four-shot.

To regenerate the zero-shot dataset from the reference codebase:

python -m mira_math.generate \
  --family typed \
  --n-a 20 \
  --n-b 50 \
  --difficulties 1,2,3 \
  --seed 1234 \
  --out datasets/generated/mira_math_20_50_zs.jsonl

To regenerate the four-shot dataset:

python -m mira_math.generate \
  --family typed \
  --n-a 20 \
  --n-b 50 \
  --difficulties 1,2,3 \
  --seed 1234 \
  --few-shot \
  --out datasets/generated/mira_math_20_50_4s.jsonl

Validate either regenerated file with:

python -m mira_math.validate \
  --in datasets/generated/mira_math_20_50_zs.jsonl

For full reproducibility, report the dataset file, file checksum, generator seed, code commit, prompt regime, solver model, responder model, runner method, decoding settings, request budget rule, run date, and transcript checksum.

Evaluation protocol

MIRA-Math is evaluated as an interaction between a solver and a constrained information holder.

  1. Agent A receives its private view, the target question, and a fixed request budget.
  2. Agent A may issue a natural-language request for missing information.
  3. Agent B receives only its private constraints and Agent A's request.
  4. Agent B returns either:
    • offer, with has_exact_match=true, the quoted private constraint, and the extracted hint; or
    • decline, with no extra information.
  5. Agent A submits a final answer.
  6. The final answer is scored by an exact family-specific verifier.

The reference paper protocol fixes Agent B to gpt-4o-mini and varies Agent A. Semantic request matching is therefore controlled and auditable but LLM-mediated; final-answer verification and dataset validation are deterministic.

Metrics

The reference scorer computes per-instance and aggregate metrics including:

Metric Meaning
acc_final Whether Agent A's final answer matches the exact ground truth.
hit_rate Fraction of responder messages that are offers rather than declines.
first_request_success Whether the first request was accepted.
request_attempts Number of requests issued by Agent A.
decline_count Number of responder declines.
hints_used Number of offers received.
requests_before_offer Number of declined requests before the first offer, if any.
rounds_to_final Round of the first submitted final answer.
rounds_to_solve Round of the first correct final answer, if any.
token_cost Approximate token estimate based on transcript word count.

The paper-level diagnostic decomposition distinguishes:

  1. no canonical hint acquired,
  2. canonical hint acquired but final answer wrong, and
  3. final answer correct.

This distinction is important because request acquisition and mathematical integration can fail independently.

Intended uses

MIRA-Math is intended for:

  • evaluating whether models ask for missing mathematical information instead of guessing,
  • comparing request precision across models and prompts,
  • separating information-acquisition failures from downstream computation failures,
  • auditing prompt or solver-loop strategies under partial mathematical observability,
  • studying family-specific failure modes in exact mathematical reasoning, and
  • regression testing solvers against a fixed synthetic benchmark suite.

Out-of-scope uses and limitations

MIRA-Math should not be used as evidence that a model can perform open-ended human clarification, general multi-agent collaboration, tool use, web navigation, social reasoning, or real-world decision-making. The task is synthetic, mathematically structured, and intentionally narrow.

The current release uses one required atomic hint per instance. Many real settings require multiple facts, uncertain evidence, human preferences, or open-ended negotiation. The fixed responder channel improves controllability and reproducibility, but request metrics can still reflect occasional LLM-mediated responder matching errors. Final-answer verification and dataset validation are deterministic.

Ethical considerations

The dataset is synthetically generated and contains mathematical problem text and synthetic numeric values. It does not contain human-subject data, private data, or scraped personal content.

The main ethical risk is overclaiming. Benchmark success should not be presented as evidence of broad collaboration, deployment readiness, or real-world decision-making ability. Users should report the narrow scope of the benchmark and the exact evaluation protocol used.

Maintenance

The 20/50 typed release should be preserved as a stable regression suite. Future releases may add larger seed sets, held-out private seeds, multi-hint instances, alternative prompt protocols, or alternative responder matchers. New releases should document changes to generators, prompts, matching rules, verifiers, scoring scripts, and checksums.

Citation

If you use MIRA-Math, please cite the paper:

@misc{albateh2026miramath,
  title  = {MIRA-Math: A Benchmark for Minimal Information Requesting and Mathematical Reasoning},
  author = {Al Bateh, Charbel and Saab Jr., Samer},
  year   = {2026},
  note   = {Benchmark dataset and reference implementation},
  url    = {https://github.com/cedar-lau/mira-math}
}

License

The generated dataset files are released under CC BY 4.0, unless otherwise specified in the repository settings.

The reference implementation is distributed separately through the GitHub repository and is intended to be released under the MIT License.

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