train_sampled.csv

numbers,solutions,solvable,amt,solved_rate,mean_time,std_time
"[3, 4, 7, 11]","['(11+7)×4/3', '(11-3)×(7-4)', '(11+4-7)×3']",True,9.49,0.868,9.31,4.63
"[2, 4, 7, 10]","['(10-7)×4×2', '(4-2)×7+10', '7×4/2+10', '(10-2)×(7-4)']",True,8.56,0.912,8.82,3.86
"[1, 1, 4, 8]","['(8+4)×(1+1)', '(8-1-1)×4', '(4-1)×8×1']",True,5.03,0.982,5.4,1.83
"[1, 4, 4, 10]",['(10-4)×4×1'],True,7.92,0.9229999999999999,8.15,3.46
"[1, 3, 10, 11]","['11×3+1-10', '(11+10+3)×1']",True,7.05,0.963,7.7,3.16
"[4, 4, 4, 6]",['6×4+4-4'],True,5.27,0.982,5.66,1.95
"[4, 7, 10, 10]",['(7-10/10)×4'],True,9.17,0.8390000000000001,8.92,4.21
"[6, 7, 8, 10]","['(7+6-10)×8', '7×6-10-8', '(8-6)×7+10']",True,8.11,0.914,8.61,3.65
"[3, 5, 5, 12]",['(3-5/5)×12'],True,7.43,0.889,7.77,3.45
"[4, 5, 5, 8]",['(4-5/5)×8'],True,7.38,0.879,7.52,3.0
"[3, 8, 9, 10]","['(10-9)×8×3', '10+9+8-3', '(9+3)×(10-8)']",True,6.71,0.963,7.06,2.54
"[2, 5, 5, 7]",['7×2+5+5'],True,12.33,0.821,11.77,4.99
"[2, 8, 10, 13]","['13×2+8-10', '(10-8)×13-2']",True,13.91,0.809,13.04,6.27
"[9, 9, 9, 12]",['(9+9)×12/9'],True,19.42,0.631,10.38,7.1
"[3, 3, 7, 12]","['(3×3-7)×12', '(12+3-7)×3', '(7-3)×3+12']",True,10.53,0.8440000000000001,10.37,5.39
"[1, 4, 5, 5]","['5×4+5-1', '(5-1)×5+4']",True,7.59,0.9590000000000001,8.09,2.79
"[2, 4, 6, 11]","['11×2+6-4', '(6-4)×11+2', '(11+4)×2-6', '4/(2-11/6)']",True,11.49,0.853,11.28,5.59
"[1, 1, 13, 13]",['13+13-1-1'],True,5.14,0.9940000000000001,5.46,1.64
"[2, 2, 9, 11]","['11+9+2+2', '2×2+11+9']",True,7.89,0.917,8.18,3.26
"[1, 11, 12, 13]",['(13-11)×12×1'],True,7.44,0.943,7.87,3.18
"[1, 5, 7, 10]","['7×5-10-1', '(7/5+1)×10']",True,20.8,0.6970000000000001,16.68,7.9
"[1, 4, 5, 11]",['(11-5)×4×1'],True,8.35,0.907,8.63,4.0
"[4, 7, 9, 11]","['(7-4)×11-9', '(9-4)×7-11']",True,37.33,0.523,23.35,11.52
"[1, 1, 2, 7]",['(7+1)×(2+1)'],True,6.73,0.955,6.95,2.06
"[2, 3, 5, 13]","['3×2+13+5', '13×2+3-5', '(5-3)×13-2']",True,12.22,0.858,12.12,5.45
"[4, 9, 9, 12]","['(9+9-12)×4', '(4-12/9)×9']",True,17.15,0.711,13.83,6.78
"[5, 5, 6, 6]","['(5+5-6)×6', '5×5-6/6', '(6-6/5)×5']",True,7.14,0.9309999999999999,7.63,2.91
"[2, 3, 5, 6]","['6×5-3×2', '5×3×2-6', '(5+2-3)×6', '(5-3)×6×2', '(5+3)×6/2', '(6/2+5)×3']",True,7.71,0.9540000000000001,8.19,3.01
"[2, 3, 5, 9]","['(9-5)×3×2', '9×3+2-5', '(5-2)×9-3', '(9×5+3)/2']",True,8.87,0.922,9.41,4.3
"[6, 6, 7, 10]",['(10-7)×6+6'],True,8.05,0.841,8.08,4.22
"[1, 3, 5, 9]","['(9-3)×(5-1)', '(5×3+9)×1', '(5/3+1)×9']",True,10.47,0.907,10.72,4.59
"[2, 10, 10, 11]",['(10/10+11)×2'],True,7.59,0.85,7.41,3.02
"[10, 11, 12, 13]",['13+12+10-11'],True,8.21,0.9590000000000001,8.84,3.58
"[2, 5, 5, 10]",['(5-2/10)×5'],True,191.41,0.21600000000000003,24.53,17.32
"[5, 5, 13, 13]",['5×5-13/13'],True,7.22,0.8540000000000001,7.42,3.23
"[3, 3, 3, 9]",['(9-3/3)×3'],True,9.63,0.8420000000000001,9.58,4.9
"[3, 4, 8, 12]","['12×4/3+8', '12×4-8×3', '12×3-8-4', '(8+4)×3-12', '(12+4-8)×3', '(8-4)×3+12']",True,11.71,0.875,11.59,5.58
"[4, 7, 7, 7]",['(7-7/7)×4'],True,6.86,0.888,7.08,3.04
"[1, 3, 6, 6]","['(6+1-3)×6', '(6+6)×(3-1)', '(6×3+6)×1']",True,6.5,0.973,7.0,2.62
"[1, 7, 7, 9]",['9+7+7+1'],True,7.19,0.961,7.57,2.88
"[7, 7, 11, 12]","['7/7+12+11', '(12-7)×7-11']",True,5.49,0.938,5.83,2.13
"[4, 6, 7, 10]","['(6-4)×7+10', '7×4+6-10', '(7-4)×10-6', '(10-6)×7-4']",True,10.32,0.8690000000000001,10.46,4.88
"[1, 5, 8, 12]","['(5+1)×(12-8)', '(8-5-1)×12', '12+8+5-1', '12×8/(5-1)']",True,6.05,0.983,6.5,2.2
"[1, 1, 1, 13]",['(13-1)×(1+1)'],True,5.55,0.9740000000000001,5.88,1.78
"[7, 10, 10, 12]",['(12-10)×7+10'],True,12.68,0.778,11.52,5.48
"[3, 4, 9, 12]","['(9-4-3)×12', '9×4/3+12', '9×3-12/4', '(12+3-9)×4', '(12-4)×9/3', '12×9/4-3', '(3-4/12)×9']",True,7.7,0.945,8.18,3.19
"[1, 2, 7, 12]",['(7-1)×2+12'],True,12.06,0.7709999999999999,10.21,5.89
"[4, 4, 5, 13]",['4×4+13-5'],True,16.19,0.7240000000000001,12.52,7.38
"[3, 7, 9, 9]","['(9+3)×(9-7)', '(9×7+9)/3', '(9/9+7)×3']",True,6.52,0.91,6.96,2.86
"[2, 7, 9, 13]","['9×2+13-7', '13×2+7-9', '(9-7)×13-2']",True,9.86,0.8740000000000001,10.04,4.92
"[3, 5, 6, 11]","['(5×3-11)×6', '6×3+11-5', '(11-5)×3+6']",True,13.09,0.825,12.41,6.81
"[7, 9, 13, 13]","['13+13+7-9', '(13-7)×(13-9)']",True,6.91,0.965,7.48,2.77
"[3, 8, 8, 11]",['11+8+8-3'],True,9.77,0.9009999999999999,9.98,4.55
"[3, 6, 12, 12]","['(6-3)×12-12', '(12-6)×12/3', '(6-12/3)×12', '(12/12+3)×6']",True,7.8,0.9309999999999999,8.36,3.55
"[4, 6, 7, 9]",['(9+7)×6/4'],True,59.92,0.42100000000000004,20.42,12.69
"[5, 8, 9, 13]",['9×5-13-8'],True,65.12,0.363,34.82,16.79
"[1, 2, 7, 9]","['9×2+7-1', '7×2+9+1']",True,9.52,0.934,10.01,3.92
"[4, 10, 12, 12]","['(10+4-12)×12', '12×12/(10-4)', '12×4/(12-10)']",True,8.21,0.922,8.68,3.5
"[1, 10, 12, 12]",['(12-10)×12×1'],True,6.31,0.9590000000000001,6.89,2.91
"[3, 5, 10, 12]","['(10-5-3)×12', '12+10+5-3']",True,7.54,0.948,8.1,3.18
"[5, 5, 11, 13]",['13+11+5-5'],True,6.22,0.963,6.88,2.62
"[8, 9, 12, 13]","['13+12+8-9', '12×8/(13-9)']",True,6.94,0.96,7.43,2.68
"[2, 7, 8, 12]","['(12-7-2)×8', '(8-7)×12×2']",True,6.37,0.9520000000000001,6.83,2.6
"[3, 5, 5, 8]","['(5+3)×(8-5)', '8×3+5-5']",True,5.58,0.971,5.96,2.06
"[1, 1, 3, 12]",['(3-1)×12×1'],True,5.02,0.975,5.37,1.83
"[4, 6, 6, 10]",['(10+6)×6/4'],True,58.72,0.4,23.53,13.1
"[2, 2, 10, 10]","['10+10+2+2', '2×2+10+10']",True,4.81,0.982,5.11,1.61
"[3, 5, 7, 9]","['9+7+5+3', '9×5-7×3', '(5-7/3)×9', '(9+3)×(7-5)']",True,11.95,0.86,11.7,4.99
"[7, 9, 10, 11]","['(10-7)×11-9', '(11-9)×7+10']",True,12.71,0.774,11.18,5.49
"[1, 2, 3, 6]","['(3+2-1)×6', '(6+2)×3×1', '(3-1)×6×2']",True,6.68,0.971,7.13,2.42
"[1, 1, 5, 5]","['(5+1)×(5-1)', '(5×5-1)×1']",True,5.36,0.991,5.74,1.83
"[4, 7, 10, 12]","['(10+4)×12/7', '(12-4)×(10-7)', '(10-7)×4+12']",True,13.36,0.792,11.83,5.79
"[2, 8, 8, 9]",['(9+2-8)×8'],True,8.16,0.904,8.5,3.44
"[3, 8, 13, 13]",['8×3+13-13'],True,5.35,0.9520000000000001,5.75,2.09
"[6, 7, 7, 10]",['(7+7-10)×6'],True,14.08,0.722,11.24,5.54
"[2, 4, 11, 11]","['11+11+4-2', '4/2+11+11']",True,5.94,0.9620000000000001,6.36,2.34
"[3, 5, 6, 10]","['10+6+5+3', '(10/5+6)×3']",True,12.15,0.858,11.87,5.63
"[2, 3, 5, 7]","['7×3+5-2', '(5-2)×7+3', '5×3+7+2']",True,11.68,0.892,11.78,4.92
"[6, 6, 10, 13]","['6/6+13+10', '(13-10)×6+6']",True,5.97,0.938,6.5,2.71
"[3, 5, 7, 12]","['(7+3)×12/5', '12×3-7-5', '(7+5)×3-12']",True,18.49,0.7120000000000001,14.74,8.13
"[3, 3, 7, 7]",['(3/7+3)×7'],True,51.64,0.40700000000000003,13.53,8.22
"[2, 2, 10, 11]",['(11×2-10)×2'],True,98.41,0.308,26.78,17.49
"[5, 9, 12, 12]","['(9+5-12)×12', '(12×9+12)/5']",True,11.15,0.8320000000000001,10.93,4.85
"[2, 7, 10, 10]","['(10-2)×(10-7)', '(10+7)×2-10']",True,17.77,0.6779999999999999,13.95,6.11
"[5, 6, 13, 13]",['(5-13/13)×6'],True,6.97,0.872,7.07,2.8
"[3, 3, 5, 6]","['6×5-3-3', '(3+3)×5-6', '(3×3-5)×6', '(5-3/3)×6', '(5+3)×(6-3)', '5×3+6+3', '(6+5-3)×3']",True,6.77,0.965,7.38,2.69
"[2, 2, 5, 5]","['5×5-2/2', '(5+5+2)×2']",True,6.73,0.934,7.1,2.49
"[1, 7, 13, 13]",['(13×13-1)/7'],True,48.91,0.41200000000000003,14.87,9.19
"[1, 1, 6, 6]","['(6+6)×(1+1)', '(6-1-1)×6']",True,6.11,0.9740000000000001,6.54,2.21
"[1, 2, 11, 11]",['(11+11+2)×1'],True,5.97,0.975,6.46,2.42
"[2, 7, 10, 11]","['10×7/2-11', '10×2+11-7']",True,13.84,0.7859999999999999,12.62,6.25
"[5, 5, 8, 9]","['5×5+8-9', '(8-5)×5+9']",True,8.37,0.899,8.84,4.0
"[5, 10, 10, 13]",['(13×10-10)/5'],True,49.77,0.39,17.43,8.13
"[2, 4, 8, 11]","['(11-8)×4×2', '(11-4×2)×8', '11×2+8/4', '11×8/4+2']",True,8.3,0.929,8.6,3.65
"[8, 8, 8, 13]",['(8+8-13)×8'],True,9.44,0.843,9.4,4.42
"[8, 8, 8, 10]",['(10-8)×8+8'],True,6.53,0.902,6.84,2.94
"[4, 4, 4, 4]",['4×4+4+4'],True,6.64,0.9790000000000001,7.21,2.97
"[4, 7, 8, 13]","['13+8+7-4', '(13-7)×(8-4)']",True,9.72,0.909,10.22,4.41
"[3, 6, 8, 13]",['13+8+6-3'],True,15.3,0.8170000000000001,14.74,6.46
"[2, 4, 5, 13]","['13+5+4+2', '(13-5-2)×4', '(13+4-5)×2']",True,7.79,0.9470000000000001,8.37,3.35
"[1, 2, 8, 13]",['13+8+2+1'],True,10.44,0.9159999999999999,10.66,4.77
"[3, 9, 9, 9]","['9+9+9-3', '(9×9-9)/3', '(9-9/9)×3']",True,6.12,0.976,6.56,2.19
"[9, 10, 12, 12]",['(12+12)×(10-9)'],True,5.96,0.9590000000000001,6.29,2.05
"[1, 2, 13, 13]",['(13+13-2)×1'],True,6.25,0.973,6.96,2.69
"[2, 9, 10, 12]","['(10-2)×(12-9)', '(10-9)×12×2']",True,7.28,0.941,7.63,2.89
"[1, 3, 9, 11]","['11+9+3+1', '(11×3-9)×1', '(11/3-1)×9']",True,7.19,0.951,7.69,3.09
"[2, 4, 7, 7]",['(7+7)×2-4'],True,35.74,0.512,17.72,9.75
"[2, 3, 10, 10]",['(10-3)×2+10'],True,19.95,0.687,14.88,7.68
"[4, 4, 6, 11]",['(11-6)×4+4'],True,8.94,0.8640000000000001,8.91,4.57
"[2, 10, 11, 13]","['(10+2)×(13-11)', '(13+10-11)×2']",True,8.6,0.897,8.66,3.42
"[3, 5, 5, 7]","['(7+5)×(5-3)', '(5/5+7)×3']",True,7.63,0.9009999999999999,7.86,3.17
"[6, 7, 9, 9]","['7×6-9-9', '(9+7)×9/6', '(9-7)×9+6']",True,12.04,0.8059999999999999,11.2,6.1
"[3, 7, 8, 13]","['(13-7-3)×8', '13×3-8-7']",True,10.01,0.8440000000000001,9.93,5.13
"[2, 6, 8, 12]","['12+8+6-2', '12×8/(6-2)', '(8×2-12)×6', '(8-2)×6-12', '(12-6)×8/2', '(6-8/2)×12', '8×6-12×2']",True,10.55,0.9420000000000001,11.28,4.55
"[1, 3, 5, 10]","['10×3-5-1', '5×3+10-1']",True,9.18,0.932,9.66,3.84
"[4, 4, 6, 9]","['(4+4)×(9-6)', '9×4×4/6']",True,12.94,0.768,11.01,5.86
"[6, 7, 10, 12]","['12×7/6+10', '12×7-10×6', '12×6/(10-7)']",True,10.92,0.851,10.85,4.89
"[5, 7, 7, 11]",['(5-11/7)×7'],True,90.39,0.275,26.22,13.42
"[2, 6, 7, 9]","['9+7+6+2', '(9-7)×6×2', '(9+2-7)×6', '7×6-9×2']",True,7.34,0.961,7.85,3.01
"[10, 10, 10, 12]",['(10+10)×12/10'],True,23.18,0.597,11.12,7.61
"[1, 3, 3, 4]","['(4+3+1)×3', '(3-1)×4×3', '(3+3)×4×1']",True,5.62,0.976,5.87,1.77
"[4, 5, 10, 11]","['10×4-11-5', '(11+5-10)×4']",True,8.06,0.8809999999999999,8.5,4.35
"[5, 8, 8, 9]","['9×8/(8-5)', '(9-5)×8-8']",True,7.87,0.872,8.18,3.96
"[3, 5, 8, 8]","['8+8+5+3', '(5-3)×8+8']",True,8.26,0.9229999999999999,8.73,3.95
"[2, 3, 8, 9]","['(9-3×2)×8', '(9-3)×8/2']",True,14.34,0.809,13.17,6.4
"[5, 8, 11, 12]","['(8+5-11)×12', '(11+5)×12/8', '(11-5)×(12-8)']",True,10.6,0.871,10.85,4.37
"[3, 6, 8, 12]","['(12-6-3)×8', '(8-12/3)×6']",True,15.52,0.802,14.12,6.22
"[1, 5, 11, 12]",['(11-1)×12/5'],True,15.54,0.7120000000000001,11.75,6.26
"[3, 3, 5, 12]","['5×3+12-3', '(12-5)×3+3']",True,11.66,0.873,11.77,5.3
"[7, 7, 7, 12]",['(7+7)×12/7'],True,16.45,0.645,9.38,6.22
"[1, 6, 6, 11]","['11+6+6+1', '(11-6-1)×6', '6×6-11-1']",True,5.75,0.983,6.23,2.24
"[4, 6, 8, 9]","['(9-8)×6×4', '9×8/4+6', '(4-8/6)×9']",True,8.02,0.935,8.51,3.48
"[3, 6, 9, 9]","['9×3+6-9', '(9-6)×9-3', '(9/9+3)×6']",True,7.08,0.94,7.65,3.29
"[1, 2, 9, 12]",['12+9+2+1'],True,7.85,0.927,8.43,3.84
"[2, 9, 9, 12]","['12×2+9-9', '12/2+9+9', '(9+9)×2-12']",True,5.36,0.9740000000000001,5.79,2.01
"[4, 8, 10, 11]",['(10+4-11)×8'],True,7.79,0.9079999999999999,8.12,3.49
"[1, 6, 8, 9]","['9+8+6+1', '(9-6)×8×1', '8/(1-6/9)']",True,6.14,0.983,6.57,2.35
"[5, 5, 11, 12]","['5×5+11-12', '5/5+12+11', '(12-5)×5-11']",True,5.53,0.9640000000000001,5.89,1.9
"[4, 6, 8, 12]","['(6+4-8)×12', '8×6/4+12', '(8+4)×12/6', '(12-6)×(8-4)', '12×4/(8-6)', '(6-12/4)×8', '(8-12/6)×4']",True,8.29,0.9420000000000001,8.94,3.55
"[3, 9, 9, 13]",['(9-3)×(13-9)'],True,17.18,0.675,12.58,6.35
"[6, 6, 6, 6]","['6+6+6+6', '6×6-6-6']",True,4.57,0.995,4.81,1.47
"[1, 6, 9, 13]",['(13-9)×6×1'],True,7.97,0.9079999999999999,8.36,4.08
"[7, 8, 9, 10]",['9×8/(10-7)'],True,12.36,0.7959999999999999,11.28,5.51
"[5, 6, 10, 11]","['(10+5-11)×6', '(11-5)×(10-6)']",True,7.91,0.905,8.27,3.58
"[2, 5, 5, 9]","['5×2+9+5', '(5-2)×5+9']",True,16.2,0.785,14.74,6.1
"[6, 6, 9, 11]","['(6+6)×(11-9)', '(9+6-11)×6']",True,8.79,0.8859999999999999,9.14,4.16
"[4, 5, 5, 9]","['5×4+9-5', '(9-5)×5+4']",True,9.04,0.915,9.42,3.93
"[5, 10, 13, 13]","['10×5-13-13', '13+13-10/5', '(13-5)×(13-10)']",True,7.58,0.927,8.01,2.78
"[1, 6, 12, 12]","['12×12×1/6', '12/(1-6/12)']",True,6.06,0.945,6.44,2.43
"[3, 9, 9, 12]","['9×3+9-12', '9/3+12+9', '(3-9/9)×12', '(12-9)×9-3']",True,6.57,0.9520000000000001,7.02,2.65
"[1, 6, 7, 9]",['(7+1)×(9-6)'],True,11.67,0.8440000000000001,11.36,4.68
"[4, 4, 5, 7]",['(7+4-5)×4'],True,9.96,0.852,9.63,4.6
"[3, 3, 3, 11]",['11×3-3×3'],True,12.39,0.7859999999999999,11.1,5.61
"[8, 9, 10, 12]","['(10+8)×12/9', '12×10/8+9']",True,51.92,0.431,23.06,14.34
"[1, 2, 5, 7]","['(7+5)×2×1', '(7+1)×(5-2)', '(7-2)×5-1']",True,6.84,0.9520000000000001,7.17,2.64
"[2, 8, 10, 10]","['8/2+10+10', '(10+2)×(10-8)', '(10+10-8)×2', '(10/10+2)×8']",True,6.01,0.955,6.36,2.11
"[2, 7, 11, 12]","['(11-7-2)×12', '(11-7)×12/2', '12/2+11+7', '(11+7)×2-12']",True,8.35,0.914,8.69,3.48
"[2, 3, 4, 9]","['9×4×2/3', '(9+3)×(4-2)', '(9+3)×4/2']",True,11.29,0.884,11.35,4.87
"[8, 8, 10, 13]","['8/8+13+10', '13×8-10×8']",True,7.02,0.9059999999999999,7.45,3.11
"[9, 10, 12, 13]",['13+12+9-10'],True,8.3,0.935,8.87,3.64
"[4, 6, 13, 13]","['6×4+13-13', '13+13+4-6']",True,5.26,0.988,5.67,1.8
"[3, 4, 4, 10]",['(10-3)×4-4'],True,15.03,0.769,12.54,6.93
"[6, 8, 10, 11]",['(11-8)×10-6'],True,21.39,0.639,14.37,7.76
"[1, 2, 2, 4]",['(2+1)×4×2'],True,7.6,0.958,7.94,2.47
"[2, 2, 12, 12]","['12+12+2-2', '(12×2-12)×2']",True,5.77,0.986,6.27,2.24
"[4, 9, 9, 10]",['10+9+9-4'],True,10.03,0.899,10.28,4.17
"[3, 5, 6, 8]","['8×6/(5-3)', '(5-6/3)×8', '(6-5)×8×3']",True,7.43,0.938,7.96,3.23
"[4, 5, 6, 7]","['(7+5)×(6-4)', '(7+5-6)×4']",True,8.81,0.897,9.2,3.97
"[6, 6, 9, 13]",['13×6-9×6'],True,31.03,0.5379999999999999,14.15,9.07
"[2, 9, 10, 13]","['10×2+13-9', '(13+9-10)×2']",True,8.87,0.9009999999999999,9.36,4.17
"[2, 2, 6, 8]","['(8-2-2)×6', '(8-2×2)×6', '8×2+6+2', '(6+2)×2+8', '(8+6-2)×2', '(8-2)×(6-2)']",True,9.41,0.955,9.83,3.55
"[1, 4, 8, 13]","['13+8+4-1', '(13+1-8)×4', '(13-1)×8/4']",True,6.81,0.9740000000000001,7.2,2.49
"[4, 9, 11, 12]","['(9+4-11)×12', '12×11/4-9', '12×4/(11-9)']",True,10.25,0.887,10.39,4.31
"[2, 2, 2, 13]","['(13-2/2)×2', '(13-2)×2+2']",True,6.84,0.935,7.23,2.8
"[5, 6, 9, 11]","['(11+9)×6/5', '(11+5)×9/6']",True,75.91,0.33399999999999996,27.08,15.22
"[4, 6, 12, 13]",['(13-12)×6×4'],True,6.4,0.938,6.88,2.91
"[10, 11, 11, 13]","['(13+11)×(11-10)', '11/11+13+10']",True,6.51,0.948,6.93,2.65
"[5, 7, 10, 12]","['(7+5)×(12-10)', '(7+5-10)×12', '12+10+7-5']",True,6.76,0.968,7.25,2.52
"[5, 7, 11, 13]",['(7+5)×(13-11)'],True,13.48,0.7090000000000001,10.38,5.51
"[1, 4, 9, 13]",['9×4+1-13'],True,28.97,0.61,19.64,10.47
"[2, 3, 4, 4]","['(3+2)×4+4', '4×4×3/2', '(4-2)×4×3']",True,9.43,0.9420000000000001,9.83,3.62
"[1, 11, 11, 13]","['(11+1)×(13-11)', '(13/11+1)×11']",True,10.33,0.875,10.27,4.31
"[7, 8, 8, 9]",['(9-7)×8+8'],True,7.39,0.8640000000000001,7.82,3.96
"[5, 6, 8, 9]","['(8+5-9)×6', '(9+6)×8/5']",True,9.73,0.899,10.01,4.44
"[5, 6, 7, 13]","['6×5+7-13', '(13+7)×6/5', '7×6-13-5', '(13-7)×5-6']",True,10.72,0.862,10.82,5.55
"[1, 1, 3, 5]",['(5+1)×(3+1)'],True,6.92,0.9540000000000001,7.24,2.32
"[1, 2, 3, 10]","['10×2+3+1', '(10-2)×3×1', '(10+3-1)×2', '(10+2)×(3-1)']",True,6.17,0.983,6.49,1.99
"[1, 2, 2, 5]","['(5+1)×(2+2)', '(5+1)×2×2']",True,7.78,0.9470000000000001,8.07,2.85
"[3, 6, 7, 13]","['6×3+13-7', '(13-7)×3+6']",True,11.65,0.8240000000000001,10.94,6.02
"[3, 5, 7, 10]","['(5+3)×(10-7)', '(5-3)×7+10', '(10+5-7)×3']",True,11.37,0.846,11.02,5.28
"[2, 3, 6, 11]","['(11-3)×6/2', '(11-6/2)×3', '11×2+6/3', '11×6/3+2']",True,9.84,0.9009999999999999,10.09,4.48
"[1, 3, 10, 12]",['12+10+3-1'],True,7.13,0.965,7.6,2.74
"[1, 5, 5, 13]",['13+5+5+1'],True,8.31,0.93,8.49,3.27
"[2, 6, 6, 9]","['(6+2)×(9-6)', '(9+6)×2-6', '(9×6-6)/2']",True,17.45,0.725,13.7,6.89
"[4, 4, 4, 10]","['10×4-4×4', '(4×4-10)×4']",True,15.27,0.765,13.03,6.5
"[1, 1, 3, 9]","['(9+3)×(1+1)', '(9-1)×3×1']",True,5.19,0.97,5.53,1.84
"[3, 3, 9, 9]","['9+9+3+3', '9×3-9/3', '(3-3/9)×9', '9×9/3-3']",True,7.43,0.9590000000000001,7.78,2.79
"[8, 8, 8, 11]",['11×8-8×8'],True,18.2,0.632,10.83,6.35
"[3, 4, 10, 10]",['10×3+4-10'],True,15.18,0.755,13.27,6.28
"[5, 8, 8, 13]",['13+8+8-5'],True,8.14,0.925,8.5,3.7
"[3, 4, 5, 5]","['5×5+3-4', '5×3+5+4']",True,8.09,0.94,8.78,3.79
"[6, 6, 6, 12]","['(6+6)×12/6', '(6-12/6)×6']",True,9.32,0.892,9.49,4.57
"[3, 4, 8, 11]","['(11+3-8)×4', '8×4+3-11', '(11-3)×4-8', '8/(4-11/3)']",True,10.32,0.8690000000000001,10.25,5.02
"[1, 3, 6, 13]","['(13+1-6)×3', '(13-1)×6/3']",True,8.22,0.9209999999999999,8.49,3.18
"[1, 4, 7, 9]",['(9-1)×(7-4)'],True,12.9,0.8190000000000001,12.06,5.16
"[3, 6, 11, 12]","['(11-6-3)×12', '(12+3-11)×6']",True,7.4,0.9329999999999999,7.82,3.18
"[11, 11, 12, 12]",['12+12+11-11'],True,5.15,0.988,5.54,1.87
"[10, 11, 12, 12]","['(12+12)×(11-10)', '(12+10)×12/11']",True,6.06,0.961,6.36,2.1
"[4, 7, 11, 11]",['(7-11/11)×4'],True,7.41,0.8640000000000001,7.6,3.55
"[3, 5, 9, 12]","['(5+3)×(12-9)', '(5-9/3)×12', '(12+5-9)×3', '(9-5)×3+12']",True,9.09,0.9,9.37,4.08
"[1, 4, 8, 11]","['11+8+4+1', '(11+1)×8/4']",True,7.89,0.9570000000000001,8.34,2.9
"[10, 12, 13, 13]",['13+13+10-12'],True,8.02,0.945,8.53,3.01
"[2, 3, 3, 3]","['(3+3+2)×3', '(3×3+3)×2']",True,13.24,0.8220000000000001,12.17,6.04
"[9, 10, 10, 13]",['13+10+10-9'],True,7.61,0.953,8.04,3.09
"[3, 6, 6, 12]","['6×3+12-6', '12×6/(6-3)', '6×6/3+12', '12×3-6-6', '(6+6)×3-12', '(3-6/6)×12', '(12-6)×3+6', '(12/6+6)×3']",True,7.09,0.956,7.77,2.97
"[2, 6, 8, 13]","['6/2+13+8', '13×2+6-8', '(8-6)×13-2']",True,11.21,0.866,11.1,5.13
"[4, 5, 6, 9]",['9+6+5+4'],True,18.8,0.757,16.88,7.22
"[4, 4, 4, 9]",['(9-4)×4+4'],True,8.61,0.8809999999999999,8.62,4.06
"[4, 10, 11, 12]",['12/4+11+10'],True,25.19,0.631,17.86,9.14
"[4, 5, 7, 7]","['7×5-7-4', '(7/7+5)×4']",True,6.93,0.9109999999999999,7.53,3.6
"[4, 8, 12, 13]","['(12+4-13)×8', '12/4+13+8']",True,7.67,0.919,8.32,3.73
"[9, 9, 12, 12]",['12+12+9-9'],True,5.38,0.9840000000000001,5.88,2.12
"[1, 1, 4, 4]",['(4+1+1)×4'],True,6.11,0.946,6.4,2.45
"[1, 3, 8, 9]","['9×8×1/3', '3/(9/8-1)']",True,6.44,0.922,7.03,3.37
"[3, 3, 4, 11]","['3×3+11+4', '(11-4)×3+3']",True,11.13,0.885,11.18,5.5
"[1, 2, 2, 9]",['(9+2+1)×2'],True,10.95,0.8240000000000001,10.15,4.57
"[2, 5, 10, 10]","['(10+2)×10/5', '(10/5+10)×2']",True,10.8,0.787,9.94,4.23
"[10, 11, 11, 12]",['12+11+11-10'],True,7.45,0.968,7.93,2.82
"[3, 3, 7, 13]",['(7×3-13)×3'],True,94.36,0.273,33.82,19.64
"[1, 3, 6, 8]","['(8-3-1)×6', '8×6/(3-1)', '(6-3)×8×1', '(6/3+1)×8']",True,6.01,0.958,6.45,2.55
"[6, 8, 11, 12]",['12×6/(11-8)'],True,14.04,0.778,12.57,5.81
"[4, 6, 12, 12]","['(12-6-4)×12', '6×4+12-12', '12×6-12×4', '(4-12/6)×12']",True,6.64,0.97,7.12,2.47
"[1, 2, 8, 8]","['(8×2+8)×1', '(8/2-1)×8']",True,6.45,0.9620000000000001,7.02,2.73
"[2, 7, 8, 9]",['(9+7)×2-8'],True,76.32,0.387,19.6,12.12
"[1, 4, 7, 13]","['(13-7)×4×1', '(13+7+4)×1']",True,6.64,0.9670000000000001,7.28,2.93
"[1, 2, 7, 10]",['(7×2+10)×1'],True,7.44,0.907,8.05,4.11
"[3, 8, 8, 8]","['8×3+8-8', '(8×8+8)/3']",True,5.76,0.976,6.13,2.15
"[3, 5, 10, 10]",['(10-10/5)×3'],True,27.46,0.54,13.48,7.51
"[1, 3, 3, 10]","['(10+1-3)×3', '(10-1)×3-3']",True,9.05,0.9009999999999999,9.22,4.14
"[4, 8, 8, 11]",['(11×8+8)/4'],True,94.44,0.298,24.47,14.91
"[3, 3, 11, 12]","['(11-3×3)×12', '3/3+12+11', '11×3+3-12']",True,5.69,0.948,6.13,2.23
"[1, 4, 8, 12]","['12×8×1/4', '(8+1)×4-12', '(12+8+4)×1', '12/(1-4/8)']",True,5.92,0.976,6.31,2.2
"[2, 8, 12, 13]",['(13+2-12)×8'],True,7.68,0.898,7.95,3.55
"[5, 9, 10, 11]",['9×5-11-10'],True,49.16,0.426,29.23,14.1
"[3, 3, 4, 13]",['(13-4)×3-3'],True,15.11,0.765,12.74,7.08
"[3, 7, 12, 13]","['(13-7)×12/3', '12/3+13+7', '(13+7-12)×3']",True,7.19,0.9390000000000001,7.68,3.11
"[8, 9, 9, 12]",['9×8/(12-9)'],True,11.79,0.826,11.1,4.78
"[9, 12, 12, 12]",['(12-9)×12-12'],True,7.35,0.816,7.21,3.72
"[2, 2, 6, 11]",['(11-2)×2+6'],True,26.25,0.622,19.02,8.98
"[1, 1, 2, 13]","['13×2-1-1', '(1+1)×13-2', '(13-1)×2×1']",True,5.19,0.988,5.51,1.79
"[5, 8, 12, 12]",['(8-5)×12-12'],True,7.86,0.753,7.04,3.77
"[1, 5, 6, 9]",['(9-5)×6×1'],True,7.22,0.922,7.71,3.55
"[1, 3, 5, 8]","['(5+1-3)×8', '5×3+8+1', '(8-3)×5-1']",True,6.59,0.953,7.28,2.99
"[1, 4, 6, 7]","['(7+1-4)×6', '4/(7/6-1)']",True,8.83,0.872,9.07,4.68
"[3, 9, 10, 11]","['9/3+11+10', '(10+9-11)×3']",True,7.29,0.93,7.68,2.95
"[2, 4, 10, 11]","['11×4-10×2', '(11-10/2)×4', '(11-4)×2+10']",True,15.73,0.7959999999999999,14.41,6.58
"[10, 10, 11, 12]",['10/10+12+11'],True,6.22,0.935,6.61,2.36
"[3, 6, 6, 13]","['(13-6-3)×6', '(13×6-6)/3']",True,15.47,0.727,12.46,6.72
"[1, 4, 10, 12]","['12×10/(4+1)', '(10-1)×4-12', '4/(1-10/12)']",True,17.15,0.721,13.15,6.88
"[5, 5, 5, 9]",['9+5+5+5'],True,10.32,0.875,10.07,4.21
"[5, 6, 10, 13]",['13+10+6-5'],True,8.63,0.912,9.35,4.41
"[2, 2, 7, 10]",['(10/2+7)×2'],True,32.81,0.532,17.19,9.45
"[2, 2, 3, 3]","['(3+3)×(2+2)', '(3+3)×2×2', '(3×2+2)×3']",True,8.01,0.934,8.35,3.24
"[5, 6, 12, 13]","['(13-6-5)×12', '13+12+5-6', '(12+5-13)×6']",True,6.1,0.975,6.51,2.17
"[6, 10, 12, 12]","['12/6+12+10', '(12-10)×6+12']",True,10.08,0.887,10.37,4.61
"[2, 4, 6, 7]","['(6+2)×(7-4)', '7×4+2-6', '(6-2)×7-4', '7×2+6+4', '6/(2-7/4)']",True,10.58,0.899,10.66,4.37
"[2, 7, 8, 8]","['(8+2-7)×8', '(7-8/2)×8', '(8×7-8)/2']",True,7.78,0.9259999999999999,8.16,3.19
"[4, 4, 5, 6]","['(5-4/4)×6', '(5-4)×6×4']",True,6.3,0.958,6.62,2.25
"[3, 4, 8, 10]","['(10-4-3)×8', '(10-8)×4×3', '(10+8)×4/3', '(10-8/4)×3']",True,7.4,0.935,7.76,3.21
"[3, 3, 10, 13]",['3/3+13+10'],True,7.65,0.893,7.92,3.61
"[12, 13, 13, 13]","['13+12-13/13', '(13+13)×12/13']",True,6.49,0.9470000000000001,6.86,2.44
"[3, 3, 5, 13]","['13+5+3+3', '13×3-5×3']",True,11.86,0.852,11.62,4.87
"[7, 9, 10, 12]",['12+10+9-7'],True,7.39,0.941,7.95,3.25
"[2, 3, 8, 12]","['(12-8)×3×2', '(8-3×2)×12', '8×3/2+12', '(8-2)×12/3', '(12-8/2)×3', '(12/2-3)×8', '(8×3-12)×2', '(12/3+8)×2']",True,9.41,0.932,9.93,3.89
"[3, 3, 3, 12]","['(3+3)×12/3', '3×3+12+3', '(3-3/3)×12', '(12-3)×3-3']",True,6.17,0.97,6.66,2.46
"[2, 3, 4, 11]","['(11-3-2)×4', '(11+4-3)×2', '(11+3)×2-4']",True,9.35,0.88,9.49,4.23
"[10, 10, 12, 13]",['13+12-10/10'],True,7.21,0.9229999999999999,7.49,2.61
"[2, 3, 4, 5]","['(5+3-2)×4', '(5+4+3)×2']",True,11.5,0.8440000000000001,11.11,5.56
"[2, 3, 4, 12]","['(3×2-4)×12', '(12-3×2)×4', '(12+4)×3/2', '(4+2)×12/3', '(4-3)×12×2', '(12/3+2)×4']",True,7.6,0.9440000000000001,8.1,3.28
"[2, 4, 10, 10]",['(4/10+2)×10'],True,116.36,0.26,30.52,19.71
"[1, 4, 5, 7]","['7×4+1-5', '(5-1)×7-4']",True,12.8,0.879,12.72,5.32
"[1, 7, 9, 13]","['(7-1)×(13-9)', '(13-1)×(9-7)']",True,7.35,0.9390000000000001,7.63,2.61
"[5, 5, 8, 12]",['(5+5-8)×12'],True,12.1,0.794,11.1,5.12
"[2, 4, 9, 12]","['(12-9)×4×2', '(9×2-12)×4', '12/(9/2-4)', '(9×4+12)/2', '(12/4+9)×2']",True,11.52,0.873,11.48,4.9
"[1, 1, 4, 7]","['(7-1)×4×1', '(7+1)×(4-1)']",True,5.59,0.972,5.94,2.07
"[1, 4, 7, 8]","['8×4-7-1', '(7+1)×4-8', '(7-1)×(8-4)', '(7-4)×8×1']",True,6.25,0.966,6.78,2.73
"[1, 3, 5, 7]","['(7+5)×(3-1)', '(5+1)×(7-3)']",True,9.32,0.895,9.53,4.12
"[4, 5, 9, 13]","['5×4+13-9', '(13-9)×5+4']",True,9.01,0.893,9.68,4.99
"[1, 6, 8, 12]","['(12-8)×6×1', '(8-6)×12×1', '(12/6+1)×8']",True,5.4,0.971,5.79,2.0
"[1, 1, 1, 12]",['(1+1)×12×1'],True,4.82,0.993,5.15,1.6
"[1, 8, 8, 10]",['(10+1-8)×8'],True,7.11,0.9229999999999999,7.5,3.03
"[4, 7, 9, 12]","['(7+4-9)×12', '12+9+7-4', '12×4/(9-7)']",True,8.23,0.9470000000000001,8.7,3.31
"[4, 5, 8, 10]","['(8+4)×10/5', '(4-8/5)×10', '(8-10/5)×4', '(8/10+4)×5']",True,14.33,0.7559999999999999,11.89,6.13
"[2, 4, 6, 12]","['12+6+4+2', '(4+2)×6-12', '(4×2-6)×12', '(12-4×2)×6', '(4-2)×6+12', '6×4/2+12', '(6+2)×12/4', '(12-4)×6/2', '(6×4-12)×2', '12/(2-6/4)']",True,10.44,0.9440000000000001,11.21,4.84
"[5, 8, 8, 8]","['8×5-8-8', '8×8-8×5']",True,11.38,0.809,10.9,5.46
"[2, 5, 7, 13]","['13×2+5-7', '7×5+2-13', '(7×5+13)/2', '(7-5)×13-2']",True,12.31,0.84,12.05,5.81
"[1, 3, 9, 12]","['(3+1)×9-12', '(12-1)×3-9', '(12+9+3)×1', '(9/3-1)×12']",True,6.14,0.965,6.57,2.41
"[2, 4, 11, 12]",['(11-2)×4-12'],True,66.98,0.39899999999999997,25.01,14.65
"[3, 9, 12, 13]","['(12+9-13)×3', '(13-9)×3+12']",True,8.15,0.8959999999999999,8.63,4.01
"[9, 11, 12, 12]",['12×11-12×9'],True,21.38,0.593,11.02,6.56