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results/mechanism_summary.csv

@@ -1,10 +1,14 @@
 operator,combo,cka_aim,cka_merge,cka_uniform,rel_dev_aim,rel_dev_merge,rel_dev_uniform,rel_dev_last_aim,rel_dev_last_merge,rel_dev_last_uniform,rho_W,delta_norm_merge,col_r2,scalar_r2,omega_hat,frac_cols_protected,cos_daim_dmerge,rho_A_aim,rho_A_uniform,aim_advantage,leverage_aim,leverage_uniform,HV_aim0,HV_aim1,endpoint_scaled_aim0,endpoint_scaled_aim1,d_endpoint,d_HV
 DARETaskArithmetic,Code-Instruction_Tuned,0.9756896287202835,0.9630374073982239,0.9643905878067016,0.2771998148411512,0.3268741406500339,0.31506659537553783,0.4847067892551422,0.5512903332710266,0.5251932740211487,0.9176499738151519,159.66417661286673,0.99918133020401,0.998831033706665,0.3997713923454284,0.0085937501862645,0.9993754029273988,0.8480322557480426,0.9638773955901953,0.11584513984215261,1.8453879287280481,0.4386471514741435,0.27,0.28,0.8677101007854314,1.0130277162489303,0.14531761546349886,0.010000000000000009
 DARETaskArithmetic,Code-Math,0.9910977050662041,0.988602839410305,0.9894919887185096,0.18324254406616086,0.2090091705322265,0.20172548443078991,0.4185748100280761,0.4862115979194641,0.4683610200881958,0.9239000155724518,59.16139609792296,0.9954683780670166,0.9949272871017456,0.3971100151538849,0.008398437872529,0.9972037971019745,0.8767201151966069,0.9651513563596792,0.08843124116307233,1.6199725365353144,0.45793233602431077,0.23,0.23,0.3074711937931504,0.3864465623321503,0.07897536853899989,0.0
+DARETies,Code-Instruction_Tuned,0.9789113625884056,0.9662329286336899,0.9668325185775757,0.2706678189337253,0.32205841317772865,0.3108738642185926,0.4778845012187958,0.5441882014274597,0.518933117389679,0.9181009230083443,143.7163607129608,0.9994592666625975,0.9990983605384828,0.3999024033546448,0.008398437872529,0.9995708763599396,0.8404308282558565,0.9652716758777425,0.12484084762188608,1.9483634932833411,0.4240380404506363,0.28,0.29,0.9333375392887172,1.056587292612799,0.12324975332408183,0.009999999999999953
 DARETies,Code-Math,0.9910706728696823,0.9881209120154381,0.9888792544603348,0.18471119441092013,0.21137537630274889,0.20525033446028823,0.4194438755512237,0.486693799495697,0.4706988632678985,0.9255722804078332,53.84098040884433,0.9988551139831544,0.9984451532363892,0.3961411118507385,0.0078125,0.999319702386856,0.8738538880061499,0.9710229169092626,0.09716902890311263,1.6948807874952878,0.389331867878257,0.23,0.24,0.28591042791301174,0.4103131804266525,0.12440275251364075,0.009999999999999981
+DARETies,Math-Instruction_Tuned,0.9701771914958954,0.9561433091759681,0.9573605686426163,0.3404878456145525,0.40017827302217485,0.3855882201343775,0.6446673274040222,0.740707278251648,0.7055617570877075,0.9175358545926346,164.98892229875756,0.999519407749176,0.9991625547409058,0.400023490190506,0.008398437872529,0.99959397315979,0.8508404093084915,0.9635411168687089,0.11270070756021744,1.8087811369980706,0.44211800111657656,0.2,0.26,0.05638794173528461,0.6077769101637202,0.5513889684284355,0.06
 TaskArithmetic,Code-Instruction_Tuned,0.9788408130407333,0.9668349489569664,0.9683743968605996,0.2703720036894083,0.31902736425399775,0.3070830319076776,0.4823709428310394,0.5480541586875916,0.5231333374977112,0.9184718628407592,142.85299811320965,0.9994563460350036,0.9990980625152588,0.3998728990554809,0.008398437872529,0.9995699524879456,0.8474884413806839,0.9625601635325223,0.11507172215183836,1.8706616382198267,0.45922595280633266,0.28,0.28,0.8608331010345852,1.005203974794159,0.1443708737595738,0.0
 TaskArithmetic,Code-Math,0.9910610884428024,0.988736729323864,0.9894404441118241,0.18354407707229253,0.2079064922407269,0.20188838234171272,0.4188976585865021,0.4846141040325165,0.4690428078174591,0.9266383971382084,53.03409525235125,0.998849391937256,0.998461127281189,0.3958191573619842,0.0078125,0.9993224740028381,0.8828203251092993,0.9710537663631684,0.08823344125386912,1.5972889129952548,0.3945692638608832,0.24,0.24,0.3547705078172823,0.40357481522062155,0.04880430740333924,0.0
+TaskArithmetic,Math-Instruction_Tuned,0.9698800936341285,0.959263214468956,0.962907212972641,0.33807642459869386,0.39210564494132993,0.3748378694057465,0.6524274945259094,0.7443152070045471,0.7111931443214417,0.9178860164511341,153.88853597931606,0.9995135068893432,0.9991387724876404,0.3999322652816772,0.008398437872529,0.9995876252651215,0.8622074916806659,0.9559614207080156,0.09375392902734969,1.6780638615265084,0.5363103504262111,0.18,0.24,-0.11696276428284332,0.36363444649652,0.4805972107793633,0.06
 Ties,Code-Instruction_Tuned,0.9911796778440476,0.9842474162578583,0.9848705530166626,0.22590580526739354,0.26751709580421446,0.25730721950531,0.3948974907398224,0.4485921561717987,0.4268690049648285,0.9207768830559291,133.52170134356285,0.9993883967399596,0.9990370273590088,0.3998082876205444,0.008398437872529,0.9995484352111816,0.8444537145869936,0.9618346772634797,0.11738096267648612,1.9633951731893775,0.4817447761297228,0.0,0.05,-0.019207350248778985,0.007883076430819235,0.02709042667959822,0.05
 Ties,Code-Math,0.99300397336483,0.9912186995148659,0.9917507112026215,0.16238840231671925,0.18338995799422259,0.17841332731768483,0.3445385098457336,0.3989194929599762,0.3863497376441955,0.9307734793125807,49.448445941604184,0.99880850315094,0.9984315633773804,0.3938775062561035,0.0076171876862645,0.9993190765380859,0.8854814303509194,0.9728631233085591,0.08738169295763965,1.6542586354465205,0.39200116403326024,0.2,0.23,0.21736985324982597,0.3515020017556185,0.13413214850579255,0.03
+Ties,Math-Instruction_Tuned,0.9926868349313736,0.988047470152378,0.9888453587889672,0.20530384760349984,0.2414184311404824,0.2327281162142753,0.3978264331817627,0.4501941502094269,0.4315155148506164,0.9196473086677686,122.57332233980341,0.9992867112159728,0.998902142047882,0.3999968767166137,0.008398437872529,0.9995005130767822,0.8504066845005412,0.964003100818967,0.11359641631842576,1.86170883662055,0.4479862290137599,0.23,0.25,1.0284355344477143,1.0865636495633755,0.05812811511566118,0.01999999999999999
 WIDEN,Code-Instruction_Tuned,0.9913797855377198,0.9884805098176003,0.9894277065992355,0.18980246856808658,0.21522565763443705,0.20619298126548524,0.3554377257823944,0.4000407457351684,0.38349050283432,0.9213279698348962,107.30642369075835,0.9980301856994628,0.9976996779441832,0.3956852257251739,0.008398437872529,0.9987808167934418,0.8818765878298209,0.9580316005617978,0.07615501273197689,1.5014664286949406,0.5334602316747878,0.27,0.26,1.020425285183093,1.0102139810430537,-0.010211304140039346,-0.010000000000000009
 WIDEN,Code-Math,0.9956279069185257,0.9945898994803428,0.9948590621352196,0.13331147627905007,0.1499567064456641,0.14682114133611318,0.2879652678966522,0.3282684981822967,0.3200508952140808,0.9352102909624618,40.42382292107673,0.9899214506149292,0.9894462823867798,0.371671974658966,0.0066406251862645,0.994191199541092,0.8889997615902204,0.9790901975385337,0.09009043594831323,1.713238723536598,0.3227333904116085,0.24,0.24,0.5438106350955338,0.5434890767121989,-0.00032155838333491893,0.0