trace-structure-exp / exp_tda_trace_pairs /summary_opencode-reasoning2.json
Ki-Seki's picture
Upload folder using huggingface_hub
dc18cc3 verified
Raw
History Blame Contribute Delete
57.2 kB
{
"summary_schema_version": "1.0",
"experiment_id": "tda_trace_pairs",
"dataset_config": "opencode-reasoning2",
"source_file": "experiment_outputs/exp_tda_trace_pairs/results_opencode-reasoning2.jsonl",
"generated_at_utc": "2026-07-16T14:43:39.457405+00:00",
"definitions": {
"score_type": "out_of_fold_ols_ranking_score",
"tie_tolerance": 1e-12,
"readers": [
"length4",
"format5",
"tda28",
"tda28_plus_format5"
],
"primary_comparison": "tda28_plus_format5_minus_format5"
},
"bootstrap": {
"unit": "problem_id_with_all_model_groups",
"samples": 5000,
"base_seed": 42,
"interval": "percentile_95",
"bootstrap_se_definition": "sample standard deviation of bootstrap estimates"
},
"overall": {
"selected_pair_count": 2000,
"valid_pair_count": 2000,
"invalid_pair_count": 0,
"invalid_reasons": {},
"extraction_modes": {
"positive": {
"think_tag": 2000
},
"negative": {
"think_tag": 2000
}
},
"reader_metrics": {
"length4": {
"positive": {
"sample_count": 2000,
"sample_mean": 0.5071894139317054,
"sample_std": 0.06212684124726951,
"sample_median": 0.49316507054830117,
"mean_pm_std": "0.507189 +/- 0.062127"
},
"negative": {
"sample_count": 2000,
"sample_mean": 0.4928658310243317,
"sample_std": 0.05929150890793526,
"sample_median": 0.48019000691486396,
"mean_pm_std": "0.492866 +/- 0.059292"
},
"difference": {
"sample_count": 2000,
"sample_mean": 0.014323582907373709,
"sample_std": 0.04694453411690589,
"sample_median": 0.009314705135112483,
"mean_pm_std": "0.014324 +/- 0.046945"
},
"ordering": {
"positive_wins": 1239,
"negative_wins": 761,
"ties": 0,
"strict_pairwise_accuracy": 0.6195,
"negative_win_rate": 0.3805,
"tie_rate": 0.0,
"cohens_dz": 0.30511715957610136,
"exact_sign_test": {
"non_tied_pairs": 2000,
"two_sided_p_value": 8.45103904443044e-27
},
"paired_wilcoxon": {
"nonzero_pairs": 2000,
"statistic": 662257.0,
"two_sided_p_value": 3.508209521453721e-39
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5072064796814262,
"bootstrap_se": 0.0013900632658627756,
"ci95": [
0.5044467357155822,
0.509871981959459
]
},
"negative_mean": {
"bootstrap_mean": 0.4928811332043906,
"bootstrap_se": 0.001340419950961057,
"ci95": [
0.490299795396397,
0.49551511081923905
]
},
"mean_difference": {
"bootstrap_mean": 0.014325346477035537,
"bootstrap_se": 0.001055174550518708,
"ci95": [
0.012272210170215746,
0.016343316061020314
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.619519,
"bootstrap_se": 0.010877743518800762,
"ci95": [
0.598,
0.6405
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"format5": {
"positive": {
"sample_count": 2000,
"sample_mean": 0.5046766238968488,
"sample_std": 0.0487486294508796,
"sample_median": 0.5033415818082025,
"mean_pm_std": "0.504677 +/- 0.048749"
},
"negative": {
"sample_count": 2000,
"sample_mean": 0.4950835659325768,
"sample_std": 0.05062295433391072,
"sample_median": 0.4934123024492939,
"mean_pm_std": "0.495084 +/- 0.050623"
},
"difference": {
"sample_count": 2000,
"sample_mean": 0.009593057964271968,
"sample_std": 0.04310851773795247,
"sample_median": 0.007738626998233966,
"mean_pm_std": "0.009593 +/- 0.043109"
},
"ordering": {
"positive_wins": 1147,
"negative_wins": 853,
"ties": 0,
"strict_pairwise_accuracy": 0.5735,
"negative_win_rate": 0.4265,
"tie_rate": 0.0,
"cohens_dz": 0.2225327723533927,
"exact_sign_test": {
"non_tied_pairs": 2000,
"two_sided_p_value": 5.266034612996984e-11
},
"paired_wilcoxon": {
"nonzero_pairs": 2000,
"statistic": 755106.0,
"two_sided_p_value": 2.0887258708176974e-21
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5046742264707885,
"bootstrap_se": 0.0010986083580355973,
"ci95": [
0.5024942424483513,
0.5068343178126332
]
},
"negative_mean": {
"bootstrap_mean": 0.4951025429584048,
"bootstrap_se": 0.00113262927773923,
"ci95": [
0.49292303121533565,
0.49736315794923025
]
},
"mean_difference": {
"bootstrap_mean": 0.009571683512383591,
"bootstrap_se": 0.0009484431208581575,
"ci95": [
0.007716882582514641,
0.011457347588174205
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5732779,
"bootstrap_se": 0.010922027271800097,
"ci95": [
0.5515,
0.5945
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28": {
"positive": {
"sample_count": 2000,
"sample_mean": 0.5118365460159019,
"sample_std": 0.0800060985105462,
"sample_median": 0.5139172300067467,
"mean_pm_std": "0.511837 +/- 0.080006"
},
"negative": {
"sample_count": 2000,
"sample_mean": 0.48756737046893445,
"sample_std": 0.08854797760219717,
"sample_median": 0.48965802682514803,
"mean_pm_std": "0.487567 +/- 0.088548"
},
"difference": {
"sample_count": 2000,
"sample_mean": 0.024269175546967524,
"sample_std": 0.08804959935631239,
"sample_median": 0.02224508115608681,
"mean_pm_std": "0.024269 +/- 0.088050"
},
"ordering": {
"positive_wins": 1206,
"negative_wins": 794,
"ties": 0,
"strict_pairwise_accuracy": 0.603,
"negative_win_rate": 0.397,
"tie_rate": 0.0,
"cohens_dz": 0.2756307322734869,
"exact_sign_test": {
"non_tied_pairs": 2000,
"two_sided_p_value": 2.897254431536813e-20
},
"paired_wilcoxon": {
"nonzero_pairs": 2000,
"statistic": 703405.0,
"two_sided_p_value": 1.2870460653926119e-30
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5118124127775208,
"bootstrap_se": 0.0017930330270486939,
"ci95": [
0.5081904286433622,
0.515287964265395
]
},
"negative_mean": {
"bootstrap_mean": 0.48760997585701354,
"bootstrap_se": 0.0019688870133862785,
"ci95": [
0.48375428440554136,
0.49143785502383
]
},
"mean_difference": {
"bootstrap_mean": 0.02420243692050718,
"bootstrap_se": 0.001917072475314334,
"ci95": [
0.0204132256329958,
0.02791614736826224
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.602787,
"bootstrap_se": 0.010760278236065443,
"ci95": [
0.5815,
0.624
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28_plus_format5": {
"positive": {
"sample_count": 2000,
"sample_mean": 0.515597970457073,
"sample_std": 0.09024148649179768,
"sample_median": 0.5215836315999243,
"mean_pm_std": "0.515598 +/- 0.090241"
},
"negative": {
"sample_count": 2000,
"sample_mean": 0.4841913657271041,
"sample_std": 0.09860359963385383,
"sample_median": 0.4899617446498321,
"mean_pm_std": "0.484191 +/- 0.098604"
},
"difference": {
"sample_count": 2000,
"sample_mean": 0.031406604729968764,
"sample_std": 0.09843093172625814,
"sample_median": 0.026765712414587528,
"mean_pm_std": "0.031407 +/- 0.098431"
},
"ordering": {
"positive_wins": 1220,
"negative_wins": 780,
"ties": 0,
"strict_pairwise_accuracy": 0.61,
"negative_win_rate": 0.39,
"tie_rate": 0.0,
"cohens_dz": 0.31907251286935157,
"exact_sign_test": {
"non_tied_pairs": 2000,
"two_sided_p_value": 6.454816980406585e-23
},
"paired_wilcoxon": {
"nonzero_pairs": 2000,
"statistic": 666476.0,
"two_sided_p_value": 2.9759245229496716e-38
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5155706054931859,
"bootstrap_se": 0.0019989395519185616,
"ci95": [
0.5115466011541546,
0.5194315189919101
]
},
"negative_mean": {
"bootstrap_mean": 0.48423637002492886,
"bootstrap_se": 0.0021681370034708192,
"ci95": [
0.47983165789768356,
0.48843410399471654
]
},
"mean_difference": {
"bootstrap_mean": 0.03133423546825704,
"bootstrap_se": 0.002152541959083756,
"ci95": [
0.027175716156791502,
0.035618987578502924
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.6099114,
"bootstrap_se": 0.010725365109465798,
"ci95": [
0.589,
0.6305
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
}
},
"incremental_validity": {
"comparison": "tda28_plus_format5_minus_format5",
"strict_pairwise_accuracy_difference": 0.03649999999999998,
"bootstrap": {
"bootstrap_mean": 0.03663350000000002,
"bootstrap_se": 0.012107821753706316,
"ci95": [
0.013000000000000012,
0.06001249999999987
]
}
},
"trace_diagnostics": {
"step_count": {
"positive": {
"sample_count": 2000,
"sample_mean": 698.4605,
"sample_std": 306.5926645742448,
"sample_median": 726.5,
"mean_pm_std": "698.460500 +/- 306.592665"
},
"negative": {
"sample_count": 2000,
"sample_mean": 750.3975,
"sample_std": 337.81897567175224,
"sample_median": 772.5,
"mean_pm_std": "750.397500 +/- 337.818976"
},
"difference": {
"sample_count": 2000,
"sample_mean": -51.937,
"sample_std": 270.3420878317444,
"sample_median": -24.0,
"mean_pm_std": "-51.937000 +/- 270.342088"
}
},
"reasoning_chars": {
"positive": {
"sample_count": 2000,
"sample_mean": 37120.558,
"sample_std": 18543.052571029453,
"sample_median": 38340.5,
"mean_pm_std": "37120.558000 +/- 18543.052571"
},
"negative": {
"sample_count": 2000,
"sample_mean": 40879.3965,
"sample_std": 19698.59603748988,
"sample_median": 42801.5,
"mean_pm_std": "40879.396500 +/- 19698.596037"
},
"difference": {
"sample_count": 2000,
"sample_mean": -3758.8385,
"sample_std": 14266.026687769297,
"sample_median": -2132.5,
"mean_pm_std": "-3758.838500 +/- 14266.026688"
}
},
"h0_total_interval_count": {
"positive": {
"sample_count": 2000,
"sample_mean": 634.446,
"sample_std": 273.0711207771727,
"sample_median": 661.0,
"mean_pm_std": "634.446000 +/- 273.071121"
},
"negative": {
"sample_count": 2000,
"sample_mean": 679.924,
"sample_std": 297.410530640507,
"sample_median": 701.5,
"mean_pm_std": "679.924000 +/- 297.410531"
},
"difference": {
"sample_count": 2000,
"sample_mean": -45.478,
"sample_std": 232.56270815118083,
"sample_median": -21.0,
"mean_pm_std": "-45.478000 +/- 232.562708"
}
},
"h0_finite_death_count": {
"positive": {
"sample_count": 2000,
"sample_mean": 633.446,
"sample_std": 273.0711207771727,
"sample_median": 660.0,
"mean_pm_std": "633.446000 +/- 273.071121"
},
"negative": {
"sample_count": 2000,
"sample_mean": 678.924,
"sample_std": 297.410530640507,
"sample_median": 700.5,
"mean_pm_std": "678.924000 +/- 297.410531"
},
"difference": {
"sample_count": 2000,
"sample_mean": -45.478,
"sample_std": 232.56270815118083,
"sample_median": -21.0,
"mean_pm_std": "-45.478000 +/- 232.562708"
}
},
"h1_total_interval_count": {
"positive": {
"sample_count": 2000,
"sample_mean": 537.5745,
"sample_std": 261.6886239745795,
"sample_median": 553.5,
"mean_pm_std": "537.574500 +/- 261.688624"
},
"negative": {
"sample_count": 2000,
"sample_mean": 574.5655,
"sample_std": 281.0526979398341,
"sample_median": 596.0,
"mean_pm_std": "574.565500 +/- 281.052698"
},
"difference": {
"sample_count": 2000,
"sample_mean": -36.991,
"sample_std": 221.49347755475702,
"sample_median": -15.0,
"mean_pm_std": "-36.991000 +/- 221.493478"
}
}
},
"tda_step_correlations": {
"h0_count": {
"pearson": 0.994420245177072,
"spearman": 0.9941698040384811
},
"h0_total_life": {
"pearson": 0.9541303919835639,
"spearman": 0.9530843255365824
},
"h0_max_life": {
"pearson": -0.05930537801138189,
"spearman": -0.04688859719592527
},
"h0_mean_life": {
"pearson": -0.7227611783661866,
"spearman": -0.6899799612084114
},
"h0_entropy": {
"pearson": 0.9245528940941035,
"spearman": 0.9838898962042598
},
"h0_skewness": {
"pearson": 0.3038216290872412,
"spearman": 0.2596501292105611
},
"h0_betti_width": {
"pearson": -0.05909710248138732,
"spearman": -0.04651161859956976
},
"h0_betti_centroid": {
"pearson": -0.7792534453016035,
"spearman": -0.7674014733253461
},
"h0_betti_spread": {
"pearson": -0.7939488361748497,
"spearman": -0.7929258397962148
},
"h0_landscape_mean": {
"pearson": -0.03559002326528818,
"spearman": -0.02657641302110653
},
"h0_landscape_max": {
"pearson": -0.05854234506739979,
"spearman": -0.04590075976598282
},
"h0_landscape_area": {
"pearson": -0.06005827542537465,
"spearman": -0.046906687027546135
},
"h1_count": {
"pearson": 0.9721464076035162,
"spearman": 0.9718868656596729
},
"h1_total_life": {
"pearson": 0.9439097197870848,
"spearman": 0.9447563963417173
},
"h1_max_life": {
"pearson": 0.3957537377938438,
"spearman": 0.3819237273886154
},
"h1_mean_life": {
"pearson": -0.36915496572314355,
"spearman": -0.34159703136559866
},
"h1_entropy": {
"pearson": 0.907424879582287,
"spearman": 0.96729441117715
},
"h1_skewness": {
"pearson": 0.3300056271705838,
"spearman": 0.3159717058109166
},
"h1_max_birth": {
"pearson": -0.033671974211015934,
"spearman": -0.03948741033925706
},
"h1_max_death": {
"pearson": -0.09526523538008135,
"spearman": -0.10646293823088208
},
"h1_betti_peak": {
"pearson": 0.8561947509338335,
"spearman": 0.870018996813593
},
"h1_betti_location": {
"pearson": -0.40170000592365007,
"spearman": -0.3681979744594846
},
"h1_betti_width": {
"pearson": 0.5442881797498021,
"spearman": 0.4815620870746568
},
"h1_betti_centroid": {
"pearson": -0.6789559873484081,
"spearman": -0.6395282772310774
},
"h1_betti_spread": {
"pearson": 0.06409160524782682,
"spearman": 0.05201506758771151
},
"h1_landscape_mean": {
"pearson": 0.7715760657694526,
"spearman": 0.7588247957364771
},
"h1_landscape_max": {
"pearson": 0.39478483951318066,
"spearman": 0.3812076959858891
},
"h1_landscape_area": {
"pearson": 0.7602945673567774,
"spearman": 0.7443741863024832
}
}
},
"by_source_subset": {
"cpp": {
"selected_pair_count": 409,
"valid_pair_count": 409,
"invalid_pair_count": 0,
"invalid_reasons": {},
"extraction_modes": {
"positive": {
"think_tag": 409
},
"negative": {
"think_tag": 409
}
},
"reader_metrics": {
"length4": {
"positive": {
"sample_count": 409,
"sample_mean": 0.5010260798400806,
"sample_std": 0.05711700183771347,
"sample_median": 0.4919383980041181,
"mean_pm_std": "0.501026 +/- 0.057117"
},
"negative": {
"sample_count": 409,
"sample_mean": 0.4892428708838329,
"sample_std": 0.05450037027843947,
"sample_median": 0.481747547942704,
"mean_pm_std": "0.489243 +/- 0.054500"
},
"difference": {
"sample_count": 409,
"sample_mean": 0.011783208956247623,
"sample_std": 0.04199382398326695,
"sample_median": 0.008407400048145552,
"mean_pm_std": "0.011783 +/- 0.041994"
},
"ordering": {
"positive_wins": 244,
"negative_wins": 165,
"ties": 0,
"strict_pairwise_accuracy": 0.5965770171149144,
"negative_win_rate": 0.4034229828850856,
"tie_rate": 0.0,
"cohens_dz": 0.28059385496645445,
"exact_sign_test": {
"non_tied_pairs": 409,
"two_sided_p_value": 0.00010977620041132394
},
"paired_wilcoxon": {
"nonzero_pairs": 409,
"statistic": 29275.0,
"two_sided_p_value": 1.2429344116848695e-07
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5010052575892723,
"bootstrap_se": 0.002798248610128302,
"ci95": [
0.49555610348738505,
0.5065422847302538
]
},
"negative_mean": {
"bootstrap_mean": 0.48925264261787405,
"bootstrap_se": 0.0026693912210850974,
"ci95": [
0.4840273630821024,
0.4944857782711126
]
},
"mean_difference": {
"bootstrap_mean": 0.011752614971398331,
"bootstrap_se": 0.002074929033737272,
"ci95": [
0.007771369133298656,
0.015880856694690613
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5963286063569683,
"bootstrap_se": 0.024722892173872683,
"ci95": [
0.5476772616136919,
0.6430317848410758
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"format5": {
"positive": {
"sample_count": 409,
"sample_mean": 0.4973330955671176,
"sample_std": 0.04067139351660543,
"sample_median": 0.49954048822846653,
"mean_pm_std": "0.497333 +/- 0.040671"
},
"negative": {
"sample_count": 409,
"sample_mean": 0.4865586216661975,
"sample_std": 0.04064466403414119,
"sample_median": 0.4854355439366556,
"mean_pm_std": "0.486559 +/- 0.040645"
},
"difference": {
"sample_count": 409,
"sample_mean": 0.01077447390092012,
"sample_std": 0.04008496685389644,
"sample_median": 0.009406244252273432,
"mean_pm_std": "0.010774 +/- 0.040085"
},
"ordering": {
"positive_wins": 242,
"negative_wins": 167,
"ties": 0,
"strict_pairwise_accuracy": 0.5916870415647921,
"negative_win_rate": 0.4083129584352078,
"tie_rate": 0.0,
"cohens_dz": 0.2687908896168338,
"exact_sign_test": {
"non_tied_pairs": 409,
"two_sided_p_value": 0.0002440623132972888
},
"paired_wilcoxon": {
"nonzero_pairs": 409,
"statistic": 29059.0,
"two_sided_p_value": 7.558528969038036e-08
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.4973696031957483,
"bootstrap_se": 0.0020073548320320026,
"ci95": [
0.4935185331740135,
0.5013650830936942
]
},
"negative_mean": {
"bootstrap_mean": 0.4865972142180517,
"bootstrap_se": 0.00201927500147789,
"ci95": [
0.4825854739307217,
0.4905016669146103
]
},
"mean_difference": {
"bootstrap_mean": 0.0107723889776966,
"bootstrap_se": 0.0019877174078576218,
"ci95": [
0.00684968194444283,
0.014658502453181805
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5920185819070904,
"bootstrap_se": 0.0241661225109928,
"ci95": [
0.5452322738386308,
0.6405867970660146
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28": {
"positive": {
"sample_count": 409,
"sample_mean": 0.540752126585774,
"sample_std": 0.07137590908554853,
"sample_median": 0.543216427247617,
"mean_pm_std": "0.540752 +/- 0.071376"
},
"negative": {
"sample_count": 409,
"sample_mean": 0.519864479883303,
"sample_std": 0.08415126829141566,
"sample_median": 0.5176106742553566,
"mean_pm_std": "0.519864 +/- 0.084151"
},
"difference": {
"sample_count": 409,
"sample_mean": 0.020887646702471088,
"sample_std": 0.08090853284245306,
"sample_median": 0.022429502974982696,
"mean_pm_std": "0.020888 +/- 0.080909"
},
"ordering": {
"positive_wins": 245,
"negative_wins": 164,
"ties": 0,
"strict_pairwise_accuracy": 0.5990220048899756,
"negative_win_rate": 0.40097799511002447,
"tie_rate": 0.0,
"cohens_dz": 0.2581637062081448,
"exact_sign_test": {
"non_tied_pairs": 409,
"two_sided_p_value": 7.256428896165733e-05
},
"paired_wilcoxon": {
"nonzero_pairs": 409,
"statistic": 29597.0,
"two_sided_p_value": 2.5709138902031634e-07
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5407165999818185,
"bootstrap_se": 0.0034505334210302606,
"ci95": [
0.5339624172854106,
0.5474969535810653
]
},
"negative_mean": {
"bootstrap_mean": 0.5198954513398683,
"bootstrap_se": 0.004110624833097673,
"ci95": [
0.5118130100935628,
0.5279648485737848
]
},
"mean_difference": {
"bootstrap_mean": 0.02082114864195015,
"bootstrap_se": 0.003994657513940853,
"ci95": [
0.013038880133661912,
0.028539186836746704
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5992249388753056,
"bootstrap_se": 0.024300505499780817,
"ci95": [
0.5501222493887531,
0.6455378973105126
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28_plus_format5": {
"positive": {
"sample_count": 409,
"sample_mean": 0.535581991855213,
"sample_std": 0.08255253332975923,
"sample_median": 0.5390256662174197,
"mean_pm_std": "0.535582 +/- 0.082553"
},
"negative": {
"sample_count": 409,
"sample_mean": 0.5108091104210377,
"sample_std": 0.09456115332748395,
"sample_median": 0.5152821463767386,
"mean_pm_std": "0.510809 +/- 0.094561"
},
"difference": {
"sample_count": 409,
"sample_mean": 0.024772881434175345,
"sample_std": 0.09226717215750556,
"sample_median": 0.02318750695320637,
"mean_pm_std": "0.024773 +/- 0.092267"
},
"ordering": {
"positive_wins": 245,
"negative_wins": 164,
"ties": 0,
"strict_pairwise_accuracy": 0.5990220048899756,
"negative_win_rate": 0.40097799511002447,
"tie_rate": 0.0,
"cohens_dz": 0.26849074112606985,
"exact_sign_test": {
"non_tied_pairs": 409,
"two_sided_p_value": 7.256428896165733e-05
},
"paired_wilcoxon": {
"nonzero_pairs": 409,
"statistic": 29631.0,
"two_sided_p_value": 2.773133017032424e-07
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5355755126536825,
"bootstrap_se": 0.00399070741998883,
"ci95": [
0.527811183735534,
0.5434011882549529
]
},
"negative_mean": {
"bootstrap_mean": 0.5108721088868798,
"bootstrap_se": 0.004614098786114971,
"ci95": [
0.5018732227463766,
0.5200081677014173
]
},
"mean_difference": {
"bootstrap_mean": 0.024703403766802676,
"bootstrap_se": 0.004526718321100012,
"ci95": [
0.015978776417302686,
0.033718448317509864
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5988215158924206,
"bootstrap_se": 0.024324700556622586,
"ci95": [
0.5501222493887531,
0.6454767726161369
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
}
},
"incremental_validity": {
"comparison": "tda28_plus_format5_minus_format5",
"strict_pairwise_accuracy_difference": 0.007334963325183463,
"bootstrap": {
"bootstrap_mean": 0.0068029339853300725,
"bootstrap_se": 0.02725409141345108,
"ci95": [
-0.046454767726161306,
0.06112469437652812
]
}
},
"trace_diagnostics": {
"step_count": {
"positive": {
"sample_count": 409,
"sample_mean": 694.2029339853301,
"sample_std": 243.92191854015869,
"sample_median": 728.0,
"mean_pm_std": "694.202934 +/- 243.921919"
},
"negative": {
"sample_count": 409,
"sample_mean": 763.4767726161369,
"sample_std": 261.6836326584511,
"sample_median": 792.0,
"mean_pm_std": "763.476773 +/- 261.683633"
},
"difference": {
"sample_count": 409,
"sample_mean": -69.27383863080685,
"sample_std": 232.71625684760437,
"sample_median": -36.0,
"mean_pm_std": "-69.273839 +/- 232.716257"
}
},
"reasoning_chars": {
"positive": {
"sample_count": 409,
"sample_mean": 37002.88508557457,
"sample_std": 15179.260171752847,
"sample_median": 39044.0,
"mean_pm_std": "37002.885086 +/- 15179.260172"
},
"negative": {
"sample_count": 409,
"sample_mean": 41096.122249388754,
"sample_std": 15248.045724980526,
"sample_median": 43971.0,
"mean_pm_std": "41096.122249 +/- 15248.045725"
},
"difference": {
"sample_count": 409,
"sample_mean": -4093.237163814181,
"sample_std": 11595.452725182782,
"sample_median": -2829.0,
"mean_pm_std": "-4093.237164 +/- 11595.452725"
}
},
"h0_total_interval_count": {
"positive": {
"sample_count": 409,
"sample_mean": 623.5305623471883,
"sample_std": 211.7841799853921,
"sample_median": 647.0,
"mean_pm_std": "623.530562 +/- 211.784180"
},
"negative": {
"sample_count": 409,
"sample_mean": 681.8068459657702,
"sample_std": 223.41938132807073,
"sample_median": 714.0,
"mean_pm_std": "681.806846 +/- 223.419381"
},
"difference": {
"sample_count": 409,
"sample_mean": -58.27628361858191,
"sample_std": 194.64938174473005,
"sample_median": -35.0,
"mean_pm_std": "-58.276284 +/- 194.649382"
}
},
"h0_finite_death_count": {
"positive": {
"sample_count": 409,
"sample_mean": 622.5305623471883,
"sample_std": 211.7841799853921,
"sample_median": 646.0,
"mean_pm_std": "622.530562 +/- 211.784180"
},
"negative": {
"sample_count": 409,
"sample_mean": 680.8068459657702,
"sample_std": 223.41938132807073,
"sample_median": 713.0,
"mean_pm_std": "680.806846 +/- 223.419381"
},
"difference": {
"sample_count": 409,
"sample_mean": -58.27628361858191,
"sample_std": 194.64938174473005,
"sample_median": -35.0,
"mean_pm_std": "-58.276284 +/- 194.649382"
}
},
"h1_total_interval_count": {
"positive": {
"sample_count": 409,
"sample_mean": 533.8215158924205,
"sample_std": 210.11696072185737,
"sample_median": 551.0,
"mean_pm_std": "533.821516 +/- 210.116961"
},
"negative": {
"sample_count": 409,
"sample_mean": 583.075794621027,
"sample_std": 214.5761933917804,
"sample_median": 613.0,
"mean_pm_std": "583.075795 +/- 214.576193"
},
"difference": {
"sample_count": 409,
"sample_mean": -49.25427872860636,
"sample_std": 188.1640499501895,
"sample_median": -37.0,
"mean_pm_std": "-49.254279 +/- 188.164050"
}
}
},
"tda_step_correlations": {
"h0_count": {
"pearson": 0.9876216859263307,
"spearman": 0.9854990918237081
},
"h0_total_life": {
"pearson": 0.9334908649727027,
"spearman": 0.9267134672174655
},
"h0_max_life": {
"pearson": -0.046883758240558265,
"spearman": -0.02349950458898365
},
"h0_mean_life": {
"pearson": -0.7063671962853072,
"spearman": -0.6252375532203002
},
"h0_entropy": {
"pearson": 0.9267758740320605,
"spearman": 0.9666111223247603
},
"h0_skewness": {
"pearson": 0.27194140346573353,
"spearman": 0.2302128015665233
},
"h0_betti_width": {
"pearson": -0.045973648667952074,
"spearman": -0.024109761929824506
},
"h0_betti_centroid": {
"pearson": -0.7579312973493132,
"spearman": -0.6910158403115209
},
"h0_betti_spread": {
"pearson": -0.7626378982092842,
"spearman": -0.7261700469743976
},
"h0_landscape_mean": {
"pearson": -0.016013162897430197,
"spearman": 0.0037157856895295226
},
"h0_landscape_max": {
"pearson": -0.04438701254745795,
"spearman": -0.022037466845328108
},
"h0_landscape_area": {
"pearson": -0.047270073300847607,
"spearman": -0.02340726729254636
},
"h1_count": {
"pearson": 0.9547770938239534,
"spearman": 0.9506789475843151
},
"h1_total_life": {
"pearson": 0.9137365157577809,
"spearman": 0.9092258035525459
},
"h1_max_life": {
"pearson": 0.31477372304920637,
"spearman": 0.2884727649045689
},
"h1_mean_life": {
"pearson": -0.33088826006718275,
"spearman": -0.28099558966313276
},
"h1_entropy": {
"pearson": 0.9084101087974079,
"spearman": 0.9418824850846501
},
"h1_skewness": {
"pearson": 0.2903044137373113,
"spearman": 0.261320573114548
},
"h1_max_birth": {
"pearson": -0.07489370552814509,
"spearman": -0.050679135196705694
},
"h1_max_death": {
"pearson": -0.13037656519484866,
"spearman": -0.11262171934429711
},
"h1_betti_peak": {
"pearson": 0.800029475848683,
"spearman": 0.8000216917958367
},
"h1_betti_location": {
"pearson": -0.3689786605585862,
"spearman": -0.33017843191877505
},
"h1_betti_width": {
"pearson": 0.4754350395631001,
"spearman": 0.3798744543972359
},
"h1_betti_centroid": {
"pearson": -0.6214050359654907,
"spearman": -0.5415640211134017
},
"h1_betti_spread": {
"pearson": 0.10555732996901546,
"spearman": 0.08945088073361644
},
"h1_landscape_mean": {
"pearson": 0.7218538124554801,
"spearman": 0.671889969503132
},
"h1_landscape_max": {
"pearson": 0.31619132121025284,
"spearman": 0.28928632556027933
},
"h1_landscape_area": {
"pearson": 0.7159087298391502,
"spearman": 0.6600941392255
}
}
},
"python": {
"selected_pair_count": 1591,
"valid_pair_count": 1591,
"invalid_pair_count": 0,
"invalid_reasons": {},
"extraction_modes": {
"positive": {
"think_tag": 1591
},
"negative": {
"think_tag": 1591
}
},
"reader_metrics": {
"length4": {
"positive": {
"sample_count": 1591,
"sample_mean": 0.5087738285410545,
"sample_std": 0.06327070190658794,
"sample_median": 0.4934245978348983,
"mean_pm_std": "0.508774 +/- 0.063271"
},
"negative": {
"sample_count": 1591,
"sample_mean": 0.493797189099419,
"sample_std": 0.06044293301433626,
"sample_median": 0.4794907849007005,
"mean_pm_std": "0.493797 +/- 0.060443"
},
"difference": {
"sample_count": 1591,
"sample_mean": 0.014976639441635539,
"sample_std": 0.0481255983276685,
"sample_median": 0.009854728733284301,
"mean_pm_std": "0.014977 +/- 0.048126"
},
"ordering": {
"positive_wins": 995,
"negative_wins": 596,
"ties": 0,
"strict_pairwise_accuracy": 0.6253928346951603,
"negative_win_rate": 0.37460716530483973,
"tie_rate": 0.0,
"cohens_dz": 0.311199028418627,
"exact_sign_test": {
"non_tied_pairs": 1591,
"two_sided_p_value": 1.115944453054696e-23
},
"paired_wilcoxon": {
"nonzero_pairs": 1591,
"statistic": 413304.0,
"two_sided_p_value": 3.609975114773937e-33
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5087904873817233,
"bootstrap_se": 0.0015856783352280223,
"ci95": [
0.505648846369964,
0.5119290624799088
]
},
"negative_mean": {
"bootstrap_mean": 0.49382531079245656,
"bootstrap_se": 0.0015031143775891633,
"ci95": [
0.490874517834658,
0.49684135094550913
]
},
"mean_difference": {
"bootstrap_mean": 0.014965176589266676,
"bootstrap_se": 0.0012123592521675205,
"ci95": [
0.012579794971598422,
0.017331549821570567
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.625255436832181,
"bootstrap_se": 0.012093657938034562,
"ci95": [
0.6015084852294155,
0.6492771841609051
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"format5": {
"positive": {
"sample_count": 1591,
"sample_mean": 0.5065644322481121,
"sample_std": 0.05045613806836232,
"sample_median": 0.5048009870459892,
"mean_pm_std": "0.506564 +/- 0.050456"
},
"negative": {
"sample_count": 1591,
"sample_mean": 0.49727508208905014,
"sample_std": 0.052673360527960025,
"sample_median": 0.4962463592366672,
"mean_pm_std": "0.497275 +/- 0.052673"
},
"difference": {
"sample_count": 1591,
"sample_mean": 0.009289350159061979,
"sample_std": 0.0438589533520638,
"sample_median": 0.006679931913862847,
"mean_pm_std": "0.009289 +/- 0.043859"
},
"ordering": {
"positive_wins": 905,
"negative_wins": 686,
"ties": 0,
"strict_pairwise_accuracy": 0.5688246385920804,
"negative_win_rate": 0.43117536140791957,
"tie_rate": 0.0,
"cohens_dz": 0.21180054353998543,
"exact_sign_test": {
"non_tied_pairs": 1591,
"two_sided_p_value": 4.406993389411071e-08
},
"paired_wilcoxon": {
"nonzero_pairs": 1591,
"statistic": 486987.0,
"two_sided_p_value": 1.4814696515979703e-15
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5065742774266979,
"bootstrap_se": 0.0012673972459534835,
"ci95": [
0.5040367776557538,
0.5090088739544236
]
},
"negative_mean": {
"bootstrap_mean": 0.4972899714565725,
"bootstrap_se": 0.0013371668203810644,
"ci95": [
0.4946616762049274,
0.49990041998387236
]
},
"mean_difference": {
"bootstrap_mean": 0.009284305970125405,
"bootstrap_se": 0.0010937546437179825,
"ci95": [
0.0071386793681798046,
0.011436464030614062
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.5690038969201759,
"bootstrap_se": 0.012345836294850714,
"ci95": [
0.5443117536140792,
0.5927089880578252
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28": {
"positive": {
"sample_count": 1591,
"sample_mean": 0.50440318809442,
"sample_std": 0.08043555403013879,
"sample_median": 0.5068640494303045,
"mean_pm_std": "0.504403 +/- 0.080436"
},
"negative": {
"sample_count": 1591,
"sample_mean": 0.4792647194629779,
"sample_std": 0.08776798604375705,
"sample_median": 0.4824815740112253,
"mean_pm_std": "0.479265 +/- 0.087768"
},
"difference": {
"sample_count": 1591,
"sample_mean": 0.02513846863144209,
"sample_std": 0.08979706779754071,
"sample_median": 0.02211175519517311,
"mean_pm_std": "0.025138 +/- 0.089797"
},
"ordering": {
"positive_wins": 961,
"negative_wins": 630,
"ties": 0,
"strict_pairwise_accuracy": 0.6040226272784412,
"negative_win_rate": 0.39597737272155875,
"tie_rate": 0.0,
"cohens_dz": 0.2799475444801836,
"exact_sign_test": {
"non_tied_pairs": 1591,
"two_sided_p_value": 1.0152180076972911e-16
},
"paired_wilcoxon": {
"nonzero_pairs": 1591,
"statistic": 444616.0,
"two_sided_p_value": 7.795355711495224e-25
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5044175921261022,
"bootstrap_se": 0.00203744346402568,
"ci95": [
0.5004316651943934,
0.5083412973869259
]
},
"negative_mean": {
"bootstrap_mean": 0.4792770176472739,
"bootstrap_se": 0.0021891135573037725,
"ci95": [
0.4750126038642539,
0.48344437410800467
]
},
"mean_difference": {
"bootstrap_mean": 0.02514057447882818,
"bootstrap_se": 0.002238824140405818,
"ci95": [
0.020666765137190162,
0.029557247773567465
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.6039922061596481,
"bootstrap_se": 0.012360521276535481,
"ci95": [
0.57950974230044,
0.6279226901319922
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
},
"tda28_plus_format5": {
"positive": {
"sample_count": 1591,
"sample_mean": 0.5104606576023656,
"sample_std": 0.0914354163689716,
"sample_median": 0.5163244963017876,
"mean_pm_std": "0.510461 +/- 0.091435"
},
"negative": {
"sample_count": 1591,
"sample_mean": 0.47734871482841224,
"sample_std": 0.09848885261170702,
"sample_median": 0.48258549668510364,
"mean_pm_std": "0.477349 +/- 0.098489"
},
"difference": {
"sample_count": 1591,
"sample_mean": 0.03311194277395337,
"sample_std": 0.09991060230320956,
"sample_median": 0.027208563228300675,
"mean_pm_std": "0.033112 +/- 0.099911"
},
"ordering": {
"positive_wins": 975,
"negative_wins": 616,
"ties": 0,
"strict_pairwise_accuracy": 0.6128221244500315,
"negative_win_rate": 0.3871778755499686,
"tie_rate": 0.0,
"cohens_dz": 0.3314157057472736,
"exact_sign_test": {
"non_tied_pairs": 1591,
"two_sided_p_value": 1.9980584768590692e-19
},
"paired_wilcoxon": {
"nonzero_pairs": 1591,
"statistic": 415178.0,
"two_sided_p_value": 1.2351088364577303e-32
}
},
"bootstrap": {
"positive_mean": {
"bootstrap_mean": 0.5104917299076577,
"bootstrap_se": 0.002295349768743169,
"ci95": [
0.505935298647282,
0.5149967016612258
]
},
"negative_mean": {
"bootstrap_mean": 0.47737558513750217,
"bootstrap_se": 0.002465788476214885,
"ci95": [
0.47256552787688183,
0.4821725798373673
]
},
"mean_difference": {
"bootstrap_mean": 0.03311614477015542,
"bootstrap_se": 0.0025282377779548286,
"ci95": [
0.02816097808027231,
0.038142756511652505
]
},
"strict_pairwise_accuracy": {
"bootstrap_mean": 0.6128808296668762,
"bootstrap_se": 0.012435148380145016,
"ci95": [
0.5883092394720302,
0.6373350094280327
]
},
"tie_rate": {
"bootstrap_mean": 0.0,
"bootstrap_se": 0.0,
"ci95": [
0.0,
0.0
]
}
}
}
},
"incremental_validity": {
"comparison": "tda28_plus_format5_minus_format5",
"strict_pairwise_accuracy_difference": 0.043997485857951046,
"bootstrap": {
"bootstrap_mean": 0.04387693274670019,
"bootstrap_se": 0.013923109381515815,
"ci95": [
0.016970458830923962,
0.07165304839723452
]
}
},
"trace_diagnostics": {
"step_count": {
"positive": {
"sample_count": 1591,
"sample_mean": 699.5549968573224,
"sample_std": 320.7887889728631,
"sample_median": 725.0,
"mean_pm_std": "699.554997 +/- 320.788789"
},
"negative": {
"sample_count": 1591,
"sample_mean": 747.0351979886864,
"sample_std": 354.7539585224757,
"sample_median": 763.0,
"mean_pm_std": "747.035198 +/- 354.753959"
},
"difference": {
"sample_count": 1591,
"sample_mean": -47.48020113136392,
"sample_std": 279.08889628421605,
"sample_median": -19.0,
"mean_pm_std": "-47.480201 +/- 279.088896"
}
},
"reasoning_chars": {
"positive": {
"sample_count": 1591,
"sample_mean": 37150.808296668765,
"sample_std": 19317.46330802617,
"sample_median": 37980.0,
"mean_pm_std": "37150.808297 +/- 19317.463308"
},
"negative": {
"sample_count": 1591,
"sample_mean": 40823.68258956631,
"sample_std": 20692.35579045884,
"sample_median": 42094.0,
"mean_pm_std": "40823.682590 +/- 20692.355790"
},
"difference": {
"sample_count": 1591,
"sample_mean": -3672.874292897549,
"sample_std": 14877.287932726327,
"sample_median": -1989.0,
"mean_pm_std": "-3672.874293 +/- 14877.287933"
}
},
"h0_total_interval_count": {
"positive": {
"sample_count": 1591,
"sample_mean": 637.2520427404148,
"sample_std": 286.7076304623256,
"sample_median": 666.0,
"mean_pm_std": "637.252043 +/- 286.707630"
},
"negative": {
"sample_count": 1591,
"sample_mean": 679.4399748585795,
"sample_std": 313.68168179755935,
"sample_median": 693.0,
"mean_pm_std": "679.439975 +/- 313.681682"
},
"difference": {
"sample_count": 1591,
"sample_mean": -42.187932118164674,
"sample_std": 241.29377017907157,
"sample_median": -16.0,
"mean_pm_std": "-42.187932 +/- 241.293770"
}
},
"h0_finite_death_count": {
"positive": {
"sample_count": 1591,
"sample_mean": 636.2520427404148,
"sample_std": 286.7076304623256,
"sample_median": 665.0,
"mean_pm_std": "636.252043 +/- 286.707630"
},
"negative": {
"sample_count": 1591,
"sample_mean": 678.4399748585795,
"sample_std": 313.68168179755935,
"sample_median": 692.0,
"mean_pm_std": "678.439975 +/- 313.681682"
},
"difference": {
"sample_count": 1591,
"sample_mean": -42.187932118164674,
"sample_std": 241.29377017907157,
"sample_median": -16.0,
"mean_pm_std": "-42.187932 +/- 241.293770"
}
},
"h1_total_interval_count": {
"positive": {
"sample_count": 1591,
"sample_mean": 538.539283469516,
"sample_std": 273.4283865573129,
"sample_median": 554.0,
"mean_pm_std": "538.539283 +/- 273.428387"
},
"negative": {
"sample_count": 1591,
"sample_mean": 572.3777498428661,
"sample_std": 295.7556040738655,
"sample_median": 586.0,
"mean_pm_std": "572.377750 +/- 295.755604"
},
"difference": {
"sample_count": 1591,
"sample_mean": -33.838466373350094,
"sample_std": 229.22732048452346,
"sample_median": -12.0,
"mean_pm_std": "-33.838466 +/- 229.227320"
}
}
},
"tda_step_correlations": {
"h0_count": {
"pearson": 0.9955691191382094,
"spearman": 0.9957871674323059
},
"h0_total_life": {
"pearson": 0.9577234307666652,
"spearman": 0.9584836659557283
},
"h0_max_life": {
"pearson": -0.061655520217850514,
"spearman": -0.05170520671813631
},
"h0_mean_life": {
"pearson": -0.7285144733776189,
"spearman": -0.7104110182882497
},
"h0_entropy": {
"pearson": 0.9250712554221302,
"spearman": 0.9869548516907712
},
"h0_skewness": {
"pearson": 0.3166661693273074,
"spearman": 0.2715232567985809
},
"h0_betti_width": {
"pearson": -0.06158483970149543,
"spearman": -0.05112817208164808
},
"h0_betti_centroid": {
"pearson": -0.7859998825150604,
"spearman": -0.790486299494388
},
"h0_betti_spread": {
"pearson": -0.8002690276714653,
"spearman": -0.8098596760050911
},
"h0_landscape_mean": {
"pearson": -0.03926442065582231,
"spearman": -0.03266668282131462
},
"h0_landscape_max": {
"pearson": -0.061217872515940956,
"spearman": -0.05076316147582035
},
"h0_landscape_area": {
"pearson": -0.06243681649527801,
"spearman": -0.051714835293761745
},
"h1_count": {
"pearson": 0.9746655266988198,
"spearman": 0.9757014833369362
},
"h1_total_life": {
"pearson": 0.9488827033941465,
"spearman": 0.9517401213856153
},
"h1_max_life": {
"pearson": 0.4132948600341997,
"spearman": 0.40395173986514954
},
"h1_mean_life": {
"pearson": -0.38160137612230055,
"spearman": -0.3587428324496269
},
"h1_entropy": {
"pearson": 0.90848162807089,
"spearman": 0.9718746986416057
},
"h1_skewness": {
"pearson": 0.3378625205165805,
"spearman": 0.3285049585012412
},
"h1_max_birth": {
"pearson": -0.02642138685278324,
"spearman": -0.03625742203942346
},
"h1_max_death": {
"pearson": -0.08942333106242428,
"spearman": -0.10428588801100035
},
"h1_betti_peak": {
"pearson": 0.8654563661884083,
"spearman": 0.8835998791784085
},
"h1_betti_location": {
"pearson": -0.4139951907587493,
"spearman": -0.38150781501181247
},
"h1_betti_width": {
"pearson": 0.5557507241587293,
"spearman": 0.5029931989902972
},
"h1_betti_centroid": {
"pearson": -0.6932667230158808,
"spearman": -0.6662764969885966
},
"h1_betti_spread": {
"pearson": 0.0570210434928646,
"spearman": 0.04577970780924086
},
"h1_landscape_mean": {
"pearson": 0.7818314932339699,
"spearman": 0.7787189161184225
},
"h1_landscape_max": {
"pearson": 0.4118970399681828,
"spearman": 0.40286629313981726
},
"h1_landscape_area": {
"pearson": 0.7691781908189564,
"spearman": 0.7632989359372097
}
}
}
}
}