calibration/reporting/selected_rules.csv

description,template_id,template_parameters,component_families,split_type,semantic_features,history_depth,period_or_chunk_length,branch_count,attribute_cardinality,ast_nodes,acceptance_rate,acceptance_entropy,signature_hash,designed_level,frontier_solve_rate,mean_reward,difficulty_band,calibration_model_panel,dataset_version,rule_id,label,family,code,protocol_version,calibration_objective,calibration_horizon,legacy_horizon,complexity_tier,complexity_axis,complexity_tier_label,calibration_iteration,is_incumbent_v20,is_v21_interpolation,gemini_evidence,gemini_reward,gemini_solved,gemini_solved_by_30,gemini_solved_after_30,gemini_turns,gemini_exhausted_horizon,gemini_invalid_actions,gemini_max_context_tokens,gemini_cost,gemini_censor_turn,gemini_censor_type,gemini_reward_upper_bound,sol_evidence,sol_reward,sol_solved,sol_solved_by_30,sol_solved_after_30,sol_turns,sol_exhausted_horizon,sol_invalid_actions,sol_max_context_tokens,sol_cost,sol_censor_turn,sol_censor_type,sol_reward_upper_bound
"rank plus 1 times the canonical suit index is in (1, 4) modulo 5",affine_suit_rank_congruence,"{""coefficient"": 1, ""complexity_tier"": 1, ""modulus"": 5, ""residues"": [1, 4]}","[""static_predicate""]",candidate_test,"{""attribute_cardinality"": 5, ""branch_count"": 0, ""complexity_tier"": 1, ""designed_level"": 4, ""history_depth"": 0, ""period_or_chunk_length"": 0}",0,0,0,5,43,0.403846,0.973156,576e860cd7e7bb3d4e04f61088c43129c7ffa91cb8d9e4492eaaee1f075dc8d8,4,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_static_predicate_affine_suit_rank_congruence_8084279f2a,"rank plus 1 times the canonical suit index is in (1, 4) modulo 5",static_predicate,"suit_index = {""hearts"": 0, ""diamonds"": 1, ""clubs"": 2, ""spades"": 3}[card.suit]
return (card.rank + 1 * suit_index) % 5 in {1, 4}",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,1,modular width → gated dual modulus → suit-specific table,tier_1,v2.1-gemini-sol-static-repair,False,True,right_censored,,,,,,,,,,26,ProviderError,0.74,exact,0.52,1.0,0.0,1.0,49.0,0.0,1.0,26853,1.3077,,,0.52
"rank plus 3 times the canonical suit index is in (0, 3, 6) modulo 8",affine_suit_rank_congruence,"{""coefficient"": 3, ""complexity_tier"": 2, ""modulus"": 8, ""residues"": [0, 3, 6]}","[""static_predicate""]",candidate_test,"{""attribute_cardinality"": 8, ""branch_count"": 0, ""complexity_tier"": 2, ""designed_level"": 5, ""history_depth"": 0, ""period_or_chunk_length"": 0}",0,0,0,8,44,0.365385,0.947062,e90d584c4429f72cac04bc14db5bfc0147daf66c1bde20db088607f14c6801c5,5,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_static_predicate_affine_suit_rank_congruence_f6565e330a,"rank plus 3 times the canonical suit index is in (0, 3, 6) modulo 8",static_predicate,"suit_index = {""hearts"": 0, ""diamonds"": 1, ""clubs"": 2, ""spades"": 3}[card.suit]
return (card.rank + 3 * suit_index) % 8 in {0, 3, 6}",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,2,modular width → gated dual modulus → suit-specific table,tier_2,v2.1-gemini-sol-static-repair,False,True,right_censored,,,,,,,,,,16,ProviderError,0.84,exact,0.49,1.0,0.0,1.0,52.0,0.0,1.0,35083,1.7139,,,0.49
"red ranks are in (1, 3, 4) modulo 6; black ranks are in (0, 2) modulo 5",color_gated_dual_modulus,"{""black_modulus"": 5, ""black_residues"": [0, 2], ""complexity_tier"": 3, ""red_modulus"": 6, ""red_residues"": [1, 3, 4]}","[""static_predicate""]",candidate_test,"{""attribute_cardinality"": 6, ""branch_count"": 2, ""complexity_tier"": 3, ""designed_level"": 8, ""history_depth"": 0, ""period_or_chunk_length"": 0}",0,0,2,6,40,0.461538,0.995727,ff7ead97857c67d8746d6fabbb1a4542a860e0b3fe4e101c9dd7bedc4ae89c6e,8,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_static_predicate_color_gated_dual_modulus_3945825a70,"red ranks are in (1, 3, 4) modulo 6; black ranks are in (0, 2) modulo 5",static_predicate,"if card.color == ""red"":
    return card.rank % 6 in {1, 3, 4}
return card.rank % 5 in {0, 2}",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,3,modular width → gated dual modulus → suit-specific table,tier_3,v2.1-gemini-sol-static-repair,False,True,right_censored,,,,,,,,,,11,ProviderError,0.89,exact,0.1,1.0,0.0,1.0,91.0,0.0,1.0,38715,2.3826,,,0.1
"suit-specific modular rank law (H:(0,) mod 3; D:(1, 2) mod 4; C:(0, 3) mod 5; S:(2, 5) mod 6)",suit_specific_modular_table,"{""complexity_tier"": 4, ""variant"": 0}","[""static_predicate""]",candidate_test,"{""attribute_cardinality"": 4, ""branch_count"": 4, ""complexity_tier"": 4, ""designed_level"": 10, ""history_depth"": 0, ""period_or_chunk_length"": 0}",0,0,4,4,91,0.384615,0.961237,7dbf71dbc527479917e8eb63a2e9a10668cb4d39a2060bbdce7b98eee9917979,10,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_static_predicate_suit_specific_modular_table_9de69b86d1,"suit-specific modular rank law (H:(0,) mod 3; D:(1, 2) mod 4; C:(0, 3) mod 5; S:(2, 5) mod 6)",static_predicate,"return (card.suit == ""hearts"" and card.rank % 3 in {0}) or (card.suit == ""diamonds"" and card.rank % 4 in {1, 2}) or (card.suit == ""clubs"" and card.rank % 5 in {0, 3}) or (card.suit == ""spades"" and card.rank % 6 in {2, 5})",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,4,modular width → gated dual modulus → suit-specific table,tier_4,v2.1-gemini-sol-static-repair,False,True,right_censored,,,,,,,,,,56,HarnessError,0.44,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,46091,3.4484,,,0.0
"directed rank change modulo 13 is one of (3, 7, 11)",frontier_modular_delta,"{""complexity_tier"": 1, ""deltas"": [3, 7, 11]}","[""first_order_transition""]",candidate_test,"{""attribute_cardinality"": 3, ""branch_count"": 0, ""complexity_tier"": 1, ""designed_level"": 6, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,0,3,42,0.230769,0.77935,4eda17618e3ed882cf42c140b59d623adbc9cf866b01b3c23eda6afa66e85cfb,6,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260812,cal_first_order_transition_frontier_modular_delta_56610594a6,"directed rank change modulo 13 is one of (3, 7, 11)",first_order_transition,"if not mainline:
    return True
prev = mainline[-1]
return (card.rank - prev.rank) % 13 in {11, 3, 7}",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,1,modular delta → conjunction → suit/rank-indexed transition table,tier_1,v2.1-gemini-sol-first-order-repair,False,True,right_censored,,,,,,,,,,32,ProviderError,0.68,exact,0.61,1.0,0.0,1.0,40.0,0.0,0.0,16993,0.7716,,,0.61
"directed rank delta is in (3, 7, 11) and color is same",frontier_delta_color_conjunction,"{""complexity_tier"": 2, ""deltas"": [3, 7, 11], ""same_color"": true}","[""first_order_transition""]",candidate_test,"{""attribute_cardinality"": 5, ""branch_count"": 0, ""complexity_tier"": 2, ""designed_level"": 7, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,0,5,54,0.115385,0.515947,66980672fb7eda50efaa2b9d65932c6f0dc74dd81edcc50f97126cb4ba62945f,7,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260812,cal_first_order_transition_frontier_delta_color_conjunction_f59478778c,"directed rank delta is in (3, 7, 11) and color is same",first_order_transition,"if not mainline:
    return True
prev = mainline[-1]
return (card.rank - prev.rank) % 13 in {11, 3, 7} and card.color == prev.color",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,2,modular delta → conjunction → suit/rank-indexed transition table,tier_2,v2.1-gemini-sol-first-order-repair,False,True,right_censored,,,,,,,,,,33,ProviderError,0.67,exact,0.34,1.0,0.0,1.0,67.0,0.0,0.0,26949,1.6419,,,0.34
"previous-suit-specific modular rank-delta table, variant 1",previous_suit_delta_table,"{""complexity_tier"": 3, ""table"": {""clubs"": [3, 9], ""diamonds"": [2, 8], ""hearts"": [1, 5], ""spades"": [4, 10]}, ""variant"": 0}","[""first_order_transition""]",candidate_test,"{""attribute_cardinality"": 8, ""branch_count"": 4, ""complexity_tier"": 3, ""designed_level"": 8, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,4,8,70,0.153846,0.619382,86d9bbf120107ca0592eb01ada51fb7cc7a2e6a4c584a680a14b6f9130b61d4a,8,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260812,cal_first_order_transition_previous_suit_delta_table_43a97f9458,"previous-suit-specific modular rank-delta table, variant 1",first_order_transition,"if not mainline:
    return True
prev = mainline[-1]
allowed = {'hearts': (1, 5), 'diamonds': (2, 8), 'clubs': (3, 9), 'spades': (4, 10)}[prev.suit]
return (card.rank - prev.rank) % 13 in allowed",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,3,modular delta → conjunction → suit/rank-indexed transition table,tier_3,v2.1-gemini-sol-first-order-repair,False,True,right_censored,,,,,,,,,,39,HarnessError,0.61,exact,0.0,0.0,0.0,0.0,100.0,1.0,4.0,45432,3.157,,,0.0
"previous-rank-residue-specific modular delta table, variant 2",previous_rank_residue_delta_table,"{""complexity_tier"": 4, ""modulus"": 5, ""table"": [[2, 7], [3, 9], [4, 12], [1, 8], [5, 11]], ""variant"": 1}","[""first_order_transition""]",candidate_test,"{""attribute_cardinality"": 10, ""branch_count"": 5, ""complexity_tier"": 4, ""designed_level"": 9, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,5,10,74,0.153846,0.619382,7916230159e071b17f26d72f19e1b9bd2dc91afdf638ce2e233c20c1338b0685,9,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260812,cal_first_order_transition_previous_rank_residue_delta_table_9218fe75c1,"previous-rank-residue-specific modular delta table, variant 2",first_order_transition,"if not mainline:
    return True
prev = mainline[-1]
table = ((2, 7), (3, 9), (4, 12), (1, 8), (5, 11))
return (card.rank - prev.rank) % 13 in table[prev.rank % 5]",eleusis-100-v11,joint_low_solve_rate_and_low_reward_with_family_tiers,100,30,4,modular delta → conjunction → suit/rank-indexed transition table,tier_4,v2.1-gemini-sol-first-order-repair,False,True,right_censored,,,,,,,,,,24,ProviderError,0.76,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,39096,2.5395,,,0.0
"if previous is red, require different parity; otherwise different suit",previous_color_gate,"{""else"": ""different_suit"", ""gate"": ""red"", ""then"": ""different_parity""}","[""conditional_transition""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 3, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,2,2,58,0.629542,0.951023,504efc1ba1d08233a5f861e5b4e67e2f7f1a4c18d5c5b04e47e95230fe8c97b8,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_conditional_transition_previous_color_gate_49cb4f16be,"if previous is red, require different parity; otherwise different suit",conditional_transition,"if not mainline:
    return True
prev = mainline[-1]
if prev.color == ""red"":
    return card.rank % 2 != prev.rank % 2
return card.suit != prev.suit",eleusis-100-v10,model_balanced_mean_reward,100,30,1,previous-card gate specificity and branch interaction,tier_1,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.6,1.0,0.0,1.0,41.0,0.0,1.0,20996,1.0112,,,0.6
"if previous is even, require same parity; otherwise different color",previous_parity_gate,"{""else"": ""different_color"", ""gate"": ""even"", ""then"": ""same_parity""}","[""conditional_transition""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 3, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,2,2,61,0.484427,0.9993,e6039ac98d6bab27781d34898931bfa3bd1c5309c5d96e380ee01fe15bbc883f,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_conditional_transition_previous_parity_gate_4a3faf3a41,"if previous is even, require same parity; otherwise different color",conditional_transition,"if not mainline:
    return True
prev = mainline[-1]
if prev.rank % 2 == 0:
    return card.rank % 2 == prev.rank % 2
return card.color != prev.color",eleusis-100-v10,model_balanced_mean_reward,100,30,2,previous-card gate specificity and branch interaction,tier_2,v2.1-gemini-sol,False,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,39139,2.6426,,,0.0
"if previous is a face card, require lower rank; otherwise same color",previous_face_gate,"{""else"": ""same_color"", ""gate"": ""face"", ""then"": ""rank_down""}","[""conditional_transition""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 3, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,2,2,49,0.569372,0.986069,dd35bb6c47a37cbe62a12e860b1d6e40bbc9a58be84239e78d1c3d57fadb65fd,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_conditional_transition_previous_face_gate_07296e9d34,"if previous is a face card, require lower rank; otherwise same color",conditional_transition,"if not mainline:
    return True
prev = mainline[-1]
if prev.is_face:
    return card.rank < prev.rank
return card.color == prev.color",eleusis-100-v10,model_balanced_mean_reward,100,30,3,previous-card gate specificity and branch interaction,tier_3,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,35075,2.5998,,,0.0
after rank 5 or above require different color; otherwise lower rank,previous_threshold_gate,"{""else"": ""rank_down"", ""then"": ""different_color"", ""threshold"": 5}","[""conditional_transition""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 4, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,2,2,52,0.364087,0.946023,181879b72974cec99aeddc1c48a2e47b65aab3b837c5b461e4e260e31f87ab01,4,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_conditional_transition_previous_threshold_gate_1dba7411bc,after rank 5 or above require different color; otherwise lower rank,conditional_transition,"if not mainline:
    return True
prev = mainline[-1]
if prev.rank >= 5:
    return card.color != prev.color
return card.rank < prev.rank",eleusis-100-v10,model_balanced_mean_reward,100,30,4,previous-card gate specificity and branch interaction,tier_4,v2.1-gemini-sol,False,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,39705,3.0456,,,0.0
accepted-position color pattern RB,position_color_pattern,"{""pattern"": [1, 0], ""period"": 2}","[""periodic_cycle""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 3, ""history_depth"": 0, ""period_or_chunk_length"": 2}",0,2,0,2,44,0.5,1.0,78dd70b78518ecb192c898b642304663095abee134496c14f14fd22c173bdc8e,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_periodic_cycle_position_color_pattern_0fb0c3864e,accepted-position color pattern RB,periodic_cycle,"if not mainline:
    return True
pattern = [1, 0]
return (card.color == ""red"") == bool(pattern[len(mainline) % 2])",eleusis-100-v10,model_balanced_mean_reward,100,30,1,period length and phase alphabet: 2 → 4 → 7 → 10,tier_1,v2.1-gemini-sol,True,False,exact,0.83,1.0,1.0,0.0,18.0,0.0,0.0,3374,0.8935,,,0.83,exact,0.74,1.0,1.0,0.0,27.0,0.0,1.0,17440,0.7821,,,0.74
"position cycle over hearts, diamonds, spades, clubs",position_suit_pattern,"{""pattern"": [""hearts"", ""diamonds"", ""spades"", ""clubs""], ""period"": 4}","[""periodic_cycle""]",candidate_test,"{""attribute_cardinality"": 4, ""branch_count"": 0, ""designed_level"": 5, ""history_depth"": 0, ""period_or_chunk_length"": 4}",0,4,0,4,40,0.25,0.811278,3d3c145078cbdd24a911a010b84960403f0637ff9552444a108a67ad295af4ae,5,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_periodic_cycle_position_suit_pattern_33f797026f,"position cycle over hearts, diamonds, spades, clubs",periodic_cycle,"if not mainline:
    return True
pattern = ['hearts', 'diamonds', 'spades', 'clubs']
return card.suit == pattern[len(mainline) % 4]",eleusis-100-v10,model_balanced_mean_reward,100,30,2,period length and phase alphabet: 2 → 4 → 7 → 10,tier_2,v2.1-gemini-sol,False,False,exact,0.75,1.0,1.0,0.0,26.0,0.0,0.0,3481,1.0254,,,0.75,exact,0.8,1.0,1.0,0.0,21.0,0.0,0.0,10249,0.4108,,,0.8
accepted-position rank-parity pattern EOEOEOE,long_position_parity_pattern,"{""pattern"": [0, 1, 0, 1, 0, 1, 0], ""period"": 7}","[""periodic_cycle""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 7, ""history_depth"": 0, ""period_or_chunk_length"": 7}",0,7,0,2,52,0.495045,0.999929,6d25f556e33c9bb53fe668129602ba76c530a7f0a4b4ff33c73b61c0c4bde523,7,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_periodic_cycle_long_position_parity_pattern_7843eec810,accepted-position rank-parity pattern EOEOEOE,periodic_cycle,"if not mainline:
    return True
pattern = [0, 1, 0, 1, 0, 1, 0]
return (card.rank % 2 == 1) == bool(pattern[len(mainline) % 7])",eleusis-100-v10,model_balanced_mean_reward,100,30,3,period length and phase alphabet: 2 → 4 → 7 → 10,tier_3,v2.1-gemini-sol,False,False,missing,,,,,,,,,,,,,exact,0.23,1.0,0.0,1.0,78.0,0.0,1.0,44513,2.648,,,0.23
accepted-position color pattern BRRBRRRRBB,long_position_color_pattern,"{""pattern"": [0, 1, 1, 0, 1, 1, 1, 1, 0, 0], ""period"": 10}","[""periodic_cycle""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 8, ""history_depth"": 0, ""period_or_chunk_length"": 10}",0,10,0,2,52,0.5,1.0,3bb96eeb3bd628c20d8965cd496d0cd943ed335c1cb32064a12a9d93f604eb6d,8,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_periodic_cycle_long_position_color_pattern_92a875b1d8,accepted-position color pattern BRRBRRRRBB,periodic_cycle,"if not mainline:
    return True
pattern = [0, 1, 1, 0, 1, 1, 1, 1, 0, 0]
return (card.color == ""red"") == bool(pattern[len(mainline) % 10])",eleusis-100-v10,model_balanced_mean_reward,100,30,4,period length and phase alphabet: 2 → 4 → 7 → 10,tier_4,v2.1-gemini-sol,True,False,exact,0.5,1.0,0.0,1.0,51.0,0.0,1.0,5448,2.2581,,,0.5,exact,0.0,0.0,0.0,0.0,100.0,1.0,2.0,51287,3.4678,,,0.0
face status is different within chunks of 2 and matches at boundaries,fixed_chunk,"{""attribute"": ""face"", ""length"": 2, ""same_within"": false}","[""chunk_run""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 3, ""history_depth"": 1, ""period_or_chunk_length"": 2}",1,2,0,2,56,0.521472,0.998669,0bcd4982540f07d96613d16d7ce78b58e0aa5eedf73c136f88b7f235dc442188,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_chunk_run_fixed_chunk_aabfaa4fd2,face status is different within chunks of 2 and matches at boundaries,chunk_run,"if not mainline:
    return True
if len(mainline) % 2 == 0:
    return card.is_face == mainline[-1].is_face
return card.is_face != mainline[-1].is_face",eleusis-100-v10,model_balanced_mean_reward,100,30,1,chunk length and state: 2 → 5 → 6 → 11,tier_1,v2.1-gemini-sol,True,False,exact,0.68,1.0,0.0,1.0,33.0,0.0,0.0,3957,1.3880000000000001,,,0.68,exact,0.18,1.0,0.0,1.0,83.0,0.0,1.0,40383,2.5337,,,0.18
rank parity is different within chunks of 5 and matches at boundaries,fixed_chunk,"{""attribute"": ""parity"", ""length"": 5, ""same_within"": false}","[""chunk_run""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 4, ""history_depth"": 1, ""period_or_chunk_length"": 5}",1,5,0,2,68,0.495517,0.999942,56f1697c8a086d22c37845d1089913183065a1652a67a8ab8ec87ccf19e93942,4,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_chunk_run_fixed_chunk_15ed80f3cb,rank parity is different within chunks of 5 and matches at boundaries,chunk_run,"if not mainline:
    return True
if len(mainline) % 5 == 0:
    return card.rank % 2 == mainline[-1].rank % 2
return card.rank % 2 != mainline[-1].rank % 2",eleusis-100-v10,model_balanced_mean_reward,100,30,2,chunk length and state: 2 → 5 → 6 → 11,tier_2,v2.1-gemini-sol,True,False,exact,0.73,1.0,1.0,0.0,28.0,0.0,2.0,3921,1.2316,,,0.73,exact,0.0,0.0,0.0,0.0,100.0,1.0,2.0,70053,4.7995,,,0.0
color is different within chunks of 6 and matches at their boundaries,long_fixed_chunk,"{""attribute"": ""color"", ""length"": 6, ""same_within"": false}","[""chunk_run""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 7, ""history_depth"": 1, ""period_or_chunk_length"": 6}",1,6,0,2,56,0.5,1.0,11dfd4d078dbb329d54a0699820ebc1fcab957beeb7d3c793220c38b91a50c4a,7,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_chunk_run_long_fixed_chunk_030a5de28e,color is different within chunks of 6 and matches at their boundaries,chunk_run,"if not mainline:
    return True
if len(mainline) % 6 == 0:
    return card.color == mainline[-1].color
return card.color != mainline[-1].color",eleusis-100-v10,model_balanced_mean_reward,100,30,3,chunk length and state: 2 → 5 → 6 → 11,tier_3,v2.1-gemini-sol,True,False,exact,0.68,1.0,0.0,1.0,33.0,0.0,0.0,4352,1.5937,,,0.68,exact,0.59,1.0,0.0,1.0,42.0,0.0,0.0,28486,1.4064,,,0.59
rank is constant within chunks of 11 and changes at their boundaries,long_fixed_chunk,"{""attribute"": ""rank"", ""length"": 11, ""same_within"": true}","[""chunk_run""]",candidate_test,"{""attribute_cardinality"": 13, ""branch_count"": 0, ""designed_level"": 9, ""history_depth"": 1, ""period_or_chunk_length"": 11}",1,11,0,13,56,0.118452,0.524895,79e91a5d1c55cac2a94bb07ec1c7272a717f9820c6c267b5090a676da301bf1d,9,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_chunk_run_long_fixed_chunk_b188311c0f,rank is constant within chunks of 11 and changes at their boundaries,chunk_run,"if not mainline:
    return True
if len(mainline) % 11 == 0:
    return card.rank != mainline[-1].rank
return card.rank == mainline[-1].rank",eleusis-100-v10,model_balanced_mean_reward,100,30,4,chunk length and state: 2 → 5 → 6 → 11,tier_4,v2.1-gemini-sol,False,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,0.0,26041,1.7163,,,0.0
candidate avoids a suit from the last 2,window_seen_attribute,"{""attribute"": ""suit"", ""repeat"": false, ""window"": 2}","[""higher_order_history""]",candidate_test,"{""attribute_cardinality"": 4, ""branch_count"": 0, ""designed_level"": 3, ""history_depth"": 2, ""period_or_chunk_length"": 0}",2,0,0,4,42,0.533742,0.996712,40994d2cae1a1fd38115bd810c587602e99703ddf103431271f25a9dba3348bd,3,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_higher_order_history_window_seen_attribute_35f9b0eda6,candidate avoids a suit from the last 2,higher_order_history,"if len(mainline) < 2:
    return True
return all(card.suit != item.suit for item in mainline[-2:])",eleusis-100-v10,model_balanced_mean_reward,100,30,1,lookback/window length and aggregate statistic,tier_1,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.73,1.0,1.0,0.0,28.0,0.0,0.0,16923,0.6999,,,0.73
candidate follows the majority color in the last 5 accepted cards,window_color_vote,"{""target"": ""majority"", ""window"": 5}","[""higher_order_history""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 4, ""history_depth"": 5, ""period_or_chunk_length"": 0}",5,0,0,2,57,0.656442,0.928183,9c9b6108d6247ace63538dc3c399c4f367818c1974b5af2ae1d7fb8528b4fbb4,4,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_higher_order_history_window_color_vote_05e3df6c11,candidate follows the majority color in the last 5 accepted cards,higher_order_history,"if len(mainline) < 5:
    return True
reds = sum(1 for item in mainline[-5:] if item.color == ""red"")
return (card.color == ""red"") == (reds >= 3)",eleusis-100-v10,model_balanced_mean_reward,100,30,2,lookback/window length and aggregate statistic,tier_2,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,3.0,42993,3.0259,,,0.0
candidate follows the minority color in the last 11 accepted cards,long_window_color_vote,"{""target"": ""minority"", ""window"": 11}","[""higher_order_history""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 8, ""history_depth"": 11, ""period_or_chunk_length"": 0}",11,0,0,2,57,0.852761,0.602888,e5cdb7f553b0d3e6d6c0687a108145e53f6c09c254f3454f2167ce526c0c5923,8,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_higher_order_history_long_window_color_vote_8d66187c95,candidate follows the minority color in the last 11 accepted cards,higher_order_history,"if len(mainline) < 11:
    return True
reds = sum(1 for item in mainline[-11:] if item.color == ""red"")
return (card.color == ""red"") == (reds < 6)",eleusis-100-v10,model_balanced_mean_reward,100,30,3,lookback/window length and aggregate statistic,tier_3,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,46956,3.5745999999999998,,,0.0
candidate follows the majority color in the last 12 accepted cards,long_window_color_vote,"{""target"": ""majority"", ""window"": 12}","[""higher_order_history""]",candidate_test,"{""attribute_cardinality"": 2, ""branch_count"": 0, ""designed_level"": 9, ""history_depth"": 12, ""period_or_chunk_length"": 0}",12,0,0,2,57,0.877301,0.537071,826386afb1d43861881bfc0e99c52582487d927726c895a9bfc4b6f7b048b516,9,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_higher_order_history_long_window_color_vote_08932c6fab,candidate follows the majority color in the last 12 accepted cards,higher_order_history,"if len(mainline) < 12:
    return True
reds = sum(1 for item in mainline[-12:] if item.color == ""red"")
return (card.color == ""red"") == (reds >= 6)",eleusis-100-v10,model_balanced_mean_reward,100,30,4,lookback/window length and aggregate statistic,tier_4,v2.1-gemini-sol,True,False,missing,,,,,,,,,,,,,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,44192,3.1786,,,0.0
"if candidate matches the first card's rank parity, require nondecreasing rank; otherwise require nonincreasing rank",anchor_gated_transition,"{""complexity_tier"": 1, ""false_relation"": ""rank_down"", ""gate"": ""candidate_anchor_parity"", ""true_relation"": ""rank_up""}","[""global_history"", ""conditional_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 5, ""history_depth"": 16, ""period_or_chunk_length"": 0}",16,0,2,2,64,0.538462,0.995727,6da07fb0cb6d0ab23062ef553067334d025c8509379453aa0c049dd035a0fd59,5,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_global_history_anchor_gated_transition_1ab00bd99d,"if candidate matches the first card's rank parity, require nondecreasing rank; otherwise require nonincreasing rank",global_history,"if not mainline:
    return True
prev = mainline[-1]
if card.rank % 2 == mainline[0].rank % 2:
    return card.rank >= prev.rank
return card.rank <= prev.rank",eleusis-100-v10,,,,1,anchor state → running balance → cumulative-rank state,tier_1,v2.1-gemini-sol,False,True,right_censored,,,,,,,,,,96,harness_timeout,0.04,exact,0.0,0.0,0.0,0.0,100.0,1.0,2.0,35301,2.5144,,,0.0
"if last and first rank parities match, require same suit; otherwise require different suit",anchor_gated_transition,"{""complexity_tier"": 2, ""false_relation"": ""different_suit"", ""gate"": ""last_anchor_parity"", ""true_relation"": ""same_suit""}","[""global_history"", ""conditional_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 6, ""history_depth"": 16, ""period_or_chunk_length"": 0}",16,0,2,2,64,0.430982,0.986211,540f28b46f20e099054726842b368f5006dc22efa1677863828acfabbb6167c2,6,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_global_history_anchor_gated_transition_9d194708e3,"if last and first rank parities match, require same suit; otherwise require different suit",global_history,"if not mainline:
    return True
prev = mainline[-1]
if prev.rank % 2 == mainline[0].rank % 2:
    return card.suit == prev.suit
return card.suit != prev.suit",eleusis-100-v10,,,,2,anchor state → running balance → cumulative-rank state,tier_2,v2.1-gemini-sol,False,True,right_censored,,,,,,,,,,99,harness_timeout,0.01,exact,0.65,1.0,0.0,1.0,36.0,0.0,0.0,17666,0.8321,,,0.65
"when red is the accepted-history color majority, require alternate color; otherwise require same rank parity",running_color_balance_transition,"{""complexity_tier"": 3, ""false_relation"": ""same_parity"", ""majority"": ""red"", ""true_relation"": ""alternate_color""}","[""global_history"", ""first_order_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 7, ""history_depth"": 16, ""period_or_chunk_length"": 0}",16,0,2,2,83,0.502832,0.999977,b545baa7da4d91b6a5fd829a84da285832b4afac6e84383a7a8bada86f004aa6,7,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_global_history_running_color_balance_transition_42299e17ab,"when red is the accepted-history color majority, require alternate color; otherwise require same rank parity",global_history,"if not mainline:
    return True
prev = mainline[-1]
count = sum(1 for item in mainline if item.color == ""red"")
if count * 2 > len(mainline):
    return card.color != prev.color
return card.rank % 2 == prev.rank % 2",eleusis-100-v10,,,,3,anchor state → running balance → cumulative-rank state,tier_3,v2.1-gemini-sol,False,True,exact,0.0,0.0,0.0,0.0,100.0,1.0,13.0,8945,5.2622,,,0.0,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,26830,1.7866,,,0.0
"when the cumulative accepted-rank sum is 2 modulo 3, require nondecreasing rank; otherwise require nonincreasing rank",cumulative_rank_gate_transition,"{""complexity_tier"": 4, ""false_relation"": ""rank_down"", ""modulus"": 3, ""residue"": 2, ""true_relation"": ""rank_up""}","[""global_history"", ""conditional_transition""]",candidate,"{""attribute_cardinality"": 3, ""branch_count"": 2, ""designed_level"": 9, ""history_depth"": 16, ""period_or_chunk_length"": 3}",16,3,2,3,69,0.496933,0.999973,641160e1bf395dc69875855992497a8e5fd45d020c4501013492ddfabd79f93f,9,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_global_history_cumulative_rank_gate_transition_36bc2e7142,"when the cumulative accepted-rank sum is 2 modulo 3, require nondecreasing rank; otherwise require nonincreasing rank",global_history,"if not mainline:
    return True
prev = mainline[-1]
total = sum(item.rank for item in mainline)
if total % 3 == 2:
    return card.rank >= prev.rank
return card.rank <= prev.rank",eleusis-100-v10,,,,4,anchor state → running balance → cumulative-rank state,tier_4,v2.1-gemini-sol,False,True,exact,0.0,0.0,0.0,0.0,100.0,1.0,38.0,11535,6.7636,,,0.0,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,43957,2.8426,,,0.0
candidate has different rank parity or nondecreasing rank relative to previous,dual_transition_composition,"{""complexity_tier"": 1, ""left"": ""different_parity"", ""operator"": ""or"", ""right"": ""rank_up""}","[""first_order_transition"", ""first_order_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 1, ""designed_level"": 4, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,1,2,51,0.804153,0.713544,cd68da810bf91ff2b0b92123a410e6c1fe5a019af43dcfc977c85b0745742c42,4,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_compositional_hybrid_dual_transition_composition_5b64f1a04c,candidate has different rank parity or nondecreasing rank relative to previous,compositional_hybrid,"if not mainline:
    return True
prev = mainline[-1]
return (card.rank % 2 != prev.rank % 2) or (card.rank >= prev.rank)",eleusis-100-v10,,,,1,"component count, gated state, and temporal span",tier_1,v2.1-gemini-sol,False,True,exact,0.82,1.0,1.0,0.0,19.0,0.0,0.0,3206,0.7628,,,0.82,exact,0.73,1.0,1.0,0.0,28.0,0.0,0.0,12407,0.51,,,0.73
"if candidate is a face card, require nondecreasing rank; otherwise require alternate color",candidate_gated_dual_transition,"{""complexity_tier"": 2, ""false_relation"": ""alternate_color"", ""gate"": ""face"", ""true_relation"": ""rank_up""}","[""static_predicate"", ""conditional_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 5, ""history_depth"": 1, ""period_or_chunk_length"": 0}",1,0,2,2,49,0.598867,0.971609,635eeadc44a489661d726e1efd953f1d7669b057be285b385962dd0d260fd7cf,5,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_compositional_hybrid_candidate_gated_dual_transition_1d307ab59e,"if candidate is a face card, require nondecreasing rank; otherwise require alternate color",compositional_hybrid,"if not mainline:
    return True
prev = mainline[-1]
if card.is_face:
    return card.rank >= prev.rank
return card.color != prev.color",eleusis-100-v10,,,,2,"component count, gated state, and temporal span",tier_2,v2.1-gemini-sol,False,True,exact,0.47,1.0,0.0,1.0,54.0,0.0,0.0,5669,2.6331,,,0.47,exact,0.54,1.0,0.0,1.0,47.0,0.0,2.0,27977,1.5364,,,0.54
"when red is the majority in the last 3, require alternate color; otherwise require same rank parity",short_window_gated_transition,"{""complexity_tier"": 3, ""false_relation"": ""same_parity"", ""true_relation"": ""alternate_color"", ""window"": 3}","[""higher_order_history"", ""conditional_transition""]",candidate,"{""attribute_cardinality"": 2, ""branch_count"": 2, ""designed_level"": 6, ""history_depth"": 3, ""period_or_chunk_length"": 0}",3,0,2,2,89,0.578575,0.982112,8c5397993e2b6a49e3f0cd7bc25581054719bb22b5fa7e1dc9c610ca680f2f06,6,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_compositional_hybrid_short_window_gated_transition_95acae6a80,"when red is the majority in the last 3, require alternate color; otherwise require same rank parity",compositional_hybrid,"if len(mainline) < 3:
    return True
count = sum(1 for item in mainline[-3:] if item.color == ""red"")
prev = mainline[-1]
if count * 2 > 3:
    return card.color != prev.color
return card.rank % 2 == prev.rank % 2",eleusis-100-v10,,,,3,"component count, gated state, and temporal span",tier_3,v2.1-gemini-sol,False,True,exact,0.0,0.0,0.0,0.0,100.0,1.0,11.0,9192,4.9149,,,0.0,exact,0.0,0.0,0.0,0.0,100.0,1.0,1.0,53615,3.749,,,0.0
every 8th accepted position requires higher rank; other positions require same suit,long_periodic_transition,"{""boundary"": ""rank_up"", ""other"": ""same_suit"", ""period"": 8}","[""periodic_cycle"", ""first_order_transition""]",candidate_test,"{""attribute_cardinality"": 4, ""branch_count"": 2, ""designed_level"": 8, ""history_depth"": 1, ""period_or_chunk_length"": 8}",1,8,2,4,56,0.275956,0.849881,65ca5aab96e945b09e8348c847d0d6ffa2934c62bc1d599dd8a8fed2ea0e1094,8,-1.0,-1.0,uncalibrated,[],v2.1-final-calibration-candidates-20260811,cal_compositional_hybrid_long_periodic_transition_3533b2a34b,every 8th accepted position requires higher rank; other positions require same suit,compositional_hybrid,"if not mainline:
    return True
prev = mainline[-1]
if len(mainline) % 8 == 0:
    return card.rank > prev.rank
return card.suit == prev.suit",eleusis-100-v10,model_balanced_mean_reward,100,30,4,"component count, gated state, and temporal span",tier_4,v2.1-gemini-sol,True,False,right_censored,,,,,,,,,,94,harness_timeout,0.06,exact,0.24,1.0,0.0,1.0,77.0,0.0,2.0,33089,1.8674,,,0.24