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fix(simulation): Evaluation of age was based on hits instead of access_count

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Signed-off-by: Tuan-Dat Tran <tuan-dat.tran@tudattr.dev>
This commit is contained in:
Tuan-Dat Tran
2024-11-28 15:57:19 +01:00
parent a484d49128
commit f9d48e6fe4
42 changed files with 1320 additions and 36118 deletions
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200
experiments/No_Refresh_4_0s_ttl/details.csv
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@@ -1,101 +1,101 @@
obj_id,access_count,hits,misses,mu,lambda,hit_rate,avg_age
1,112,88,24,0,1,78.57,1.8295454545454546
2,109,86,23,0,1,78.9,1.9883720930232558
3,134,108,26,0,1,80.6,1.787037037037037
4,129,104,25,0,1,80.62,1.9519230769230769
5,129,103,26,0,1,79.84,1.6504854368932038
6,116,93,23,0,1,80.17,1.956989247311828
7,116,91,25,0,1,78.45,2.0
8,240,214,26,0,2,89.17,1.9766355140186915
9,139,113,26,0,1,81.29,1.9646017699115044
10,238,211,27,0,2,88.66,1.872037914691943
11,127,102,25,0,1,80.31,1.911764705882353
12,123,97,26,0,1,78.86,2.1030927835051547
13,104,81,23,0,1,77.88,1.7901234567901234
14,140,115,25,0,1,82.14,1.808695652173913
15,259,231,28,0,2,89.19,2.017316017316017
16,120,94,26,0,1,78.33,2.106382978723404
17,121,96,25,0,1,79.34,2.1145833333333335
18,125,99,26,0,1,79.2,2.1818181818181817
19,117,92,25,0,1,78.63,1.826086956521739
20,119,94,25,0,1,78.99,2.0425531914893615
21,132,106,26,0,1,80.3,1.849056603773585
22,133,108,25,0,1,81.2,2.0833333333333335
23,109,82,27,0,1,75.23,1.853658536585366
24,128,103,25,0,1,80.47,2.1262135922330097
25,115,91,24,0,1,79.13,1.989010989010989
26,226,198,28,0,2,87.61,1.898989898989899
27,361,333,28,0,3,92.24,1.9009009009009008
28,3646,3615,31,0,29,99.15,1.8912863070539419
29,149,123,26,0,1,82.55,2.16260162601626
30,108,83,25,0,1,76.85,1.8072289156626506
31,133,108,25,0,1,81.2,2.037037037037037
32,122,96,26,0,1,78.69,1.8333333333333333
33,122,97,25,0,1,79.51,2.134020618556701
34,131,108,23,0,1,82.44,1.8981481481481481
35,103,78,25,0,1,75.73,2.0256410256410255
36,374,346,28,0,3,92.51,1.9971098265895955
37,135,110,25,0,1,81.48,1.8636363636363635
38,116,92,24,0,1,79.31,1.9565217391304348
39,131,106,25,0,1,80.92,2.018867924528302
40,218,191,27,0,2,87.61,1.9738219895287958
41,612,582,30,0,5,95.1,2.0034364261168385
42,119,95,24,0,1,79.83,1.9578947368421054
43,251,224,27,0,2,89.24,2.107142857142857
44,236,209,27,0,2,88.56,2.1578947368421053
45,120,95,25,0,1,79.17,1.9789473684210526
46,1788,1758,30,0,15,98.32,2.036405005688282
47,219,192,27,0,2,87.67,2.140625
48,120,94,26,0,1,78.33,2.1382978723404253
49,115,92,23,0,1,80.0,1.9782608695652173
50,359,331,28,0,3,92.2,1.9818731117824773
51,2181,2150,31,0,18,98.58,1.8227906976744186
52,105,81,24,0,1,77.14,2.0
53,125,99,26,0,1,79.2,2.111111111111111
54,135,110,25,0,1,81.48,1.8818181818181818
55,261,233,28,0,2,89.27,1.6523605150214593
56,252,224,28,0,2,88.89,2.1026785714285716
57,123,98,25,0,1,79.67,1.7551020408163265
58,356,328,28,0,3,92.13,1.9817073170731707
59,113,87,26,0,1,76.99,2.045977011494253
60,233,206,27,0,2,88.41,1.9368932038834952
61,117,92,25,0,1,78.63,1.891304347826087
62,381,352,29,0,3,92.39,1.9573863636363635
63,122,98,24,0,1,80.33,2.13265306122449
64,235,207,28,0,2,88.09,1.9710144927536233
65,131,105,26,0,1,80.15,2.2095238095238097
66,476,446,30,0,4,93.7,1.993273542600897
67,130,105,25,0,1,80.77,2.238095238095238
68,110,85,25,0,1,77.27,2.011764705882353
69,446,417,29,0,4,93.5,1.9808153477218224
70,474,445,29,0,4,93.88,1.9258426966292135
71,112,88,24,0,1,78.57,1.7045454545454546
72,112,89,23,0,1,79.46,1.9213483146067416
73,130,105,25,0,1,80.77,1.9523809523809523
74,257,229,28,0,2,89.11,2.013100436681223
75,862,832,30,0,7,96.52,2.1033653846153846
76,244,217,27,0,2,88.93,1.9262672811059909
77,106,80,26,0,1,75.47,2.2
78,247,220,27,0,2,89.07,2.0136363636363637
79,111,86,25,0,1,77.48,1.872093023255814
80,120,95,25,0,1,79.17,1.8842105263157896
81,595,566,29,0,5,95.13,2.035335689045936
82,110,87,23,0,1,79.09,2.103448275862069
83,241,213,28,0,2,88.38,1.8873239436619718
84,483,455,28,0,4,94.2,2.0945054945054946
85,115,91,24,0,1,79.13,1.8461538461538463
86,118,93,25,0,1,78.81,1.881720430107527
87,269,242,27,0,2,89.96,1.9132231404958677
88,100,77,23,0,1,77.0,2.1298701298701297
89,237,209,28,0,2,88.19,2.0334928229665072
90,239,212,27,0,2,88.7,2.0047169811320753
91,247,220,27,0,2,89.07,1.95
92,342,314,28,0,3,91.81,1.8630573248407643
93,1559,1529,30,0,12,98.08,1.973839110529758
94,135,109,26,0,1,80.74,1.963302752293578
95,2250,2219,31,0,18,98.62,1.9936908517350158
96,114,90,24,0,1,78.95,1.9222222222222223
97,268,240,28,0,2,89.55,2.0
98,352,323,29,0,3,91.76,1.91640866873065
99,115,90,25,0,1,78.26,2.077777777777778
100,126,102,24,0,1,80.95,1.9509803921568627
1,113,90,23,0,1,79.65,1.6460176991150441
2,127,103,24,0,1,81.1,1.4566929133858268
3,119,95,24,0,1,79.83,1.588235294117647
4,365,337,28,0,3,92.33,1.7808219178082192
5,257,229,28,0,2,89.11,1.7704280155642023
6,591,562,29,0,5,95.09,1.9137055837563453
7,482,453,29,0,4,93.98,1.7738589211618256
8,129,106,23,0,1,82.17,1.7596899224806202
9,131,105,26,0,1,80.15,1.3206106870229009
10,238,211,27,0,2,88.66,1.684873949579832
11,135,110,25,0,1,81.48,1.6592592592592592
12,855,826,29,0,7,96.61,2.024561403508772
13,113,90,23,0,1,79.65,1.6194690265486726
14,1330,1301,29,0,11,97.82,1.8406015037593986
15,479,451,28,0,4,94.15,1.8246346555323592
16,372,344,28,0,3,92.47,1.8629032258064515
17,129,104,25,0,1,80.62,1.689922480620155
18,118,94,24,0,1,79.66,1.6016949152542372
19,226,200,26,0,2,88.5,1.8185840707964602
20,117,93,24,0,1,79.49,1.6666666666666667
21,672,643,29,0,6,95.68,1.9345238095238095
22,527,498,29,0,4,94.5,1.8444022770398483
23,132,107,25,0,1,81.06,1.5757575757575757
24,111,87,24,0,1,78.38,1.4594594594594594
25,107,82,25,0,1,76.64,1.7289719626168225
26,106,81,25,0,1,76.42,1.509433962264151
27,119,96,23,0,1,80.67,1.6722689075630253
28,219,193,26,0,2,88.13,1.82648401826484
29,253,225,28,0,2,88.93,1.841897233201581
30,114,89,25,0,1,78.07,1.5614035087719298
31,218,190,28,0,2,87.16,1.9220183486238531
32,117,92,25,0,1,78.63,1.5042735042735043
33,120,96,24,0,1,80.0,1.6833333333333333
34,376,348,28,0,3,92.55,1.7207446808510638
35,1366,1336,30,0,12,97.8,1.9546120058565153
36,238,211,27,0,2,88.66,1.7941176470588236
37,118,94,24,0,1,79.66,1.7118644067796611
38,704,675,29,0,6,95.88,1.9630681818181819
39,112,89,23,0,1,79.46,1.6607142857142858
40,123,100,23,0,1,81.3,1.6910569105691058
41,122,98,24,0,1,80.33,1.721311475409836
42,336,308,28,0,3,91.67,1.9285714285714286
43,814,785,29,0,7,96.44,1.8636363636363635
44,358,331,27,0,3,92.46,1.8463687150837989
45,115,91,24,0,1,79.13,1.626086956521739
46,112,88,24,0,1,78.57,1.4642857142857142
47,122,98,24,0,1,80.33,1.6557377049180328
48,113,90,23,0,1,79.65,1.4867256637168142
49,1108,1079,29,0,9,97.38,1.9747292418772564
50,118,92,26,0,1,77.97,1.5423728813559323
51,115,92,23,0,1,80.0,1.5913043478260869
52,120,95,25,0,1,79.17,1.3666666666666667
53,338,310,28,0,3,91.72,1.7751479289940828
54,236,209,27,0,2,88.56,1.8008474576271187
55,115,92,23,0,1,80.0,1.4608695652173913
56,123,99,24,0,1,80.49,1.6504065040650406
57,133,109,24,0,1,81.95,1.7067669172932332
58,255,228,27,0,2,89.41,1.6745098039215687
59,100,77,23,0,1,77.0,1.37
60,133,107,26,0,1,80.45,1.3759398496240602
61,147,121,26,0,1,82.31,1.619047619047619
62,130,105,25,0,1,80.77,1.7461538461538462
63,551,522,29,0,5,94.74,1.7568058076225046
64,155,130,25,0,1,83.87,1.5806451612903225
65,251,223,28,0,2,88.84,1.7091633466135459
66,102,79,23,0,1,77.45,1.4313725490196079
67,353,325,28,0,3,92.07,1.7705382436260624
68,245,218,27,0,2,88.98,1.616326530612245
69,1245,1216,29,0,11,97.67,1.8441767068273092
70,234,207,27,0,2,88.46,1.6581196581196582
71,130,106,24,0,1,81.54,1.5
72,104,80,24,0,1,76.92,1.4807692307692308
73,112,89,23,0,1,79.46,1.4375
74,103,80,23,0,1,77.67,1.4077669902912622
75,19833,19803,30,0,166,99.85,1.58624514697726
76,134,109,25,0,1,81.34,1.3955223880597014
77,129,105,24,0,1,81.4,1.6356589147286822
78,104,81,23,0,1,77.88,1.3269230769230769
79,139,116,23,0,1,83.45,1.669064748201439
80,113,89,24,0,1,78.76,1.654867256637168
81,115,91,24,0,1,79.13,1.5565217391304347
82,120,95,25,0,1,79.17,1.75
83,106,83,23,0,1,78.3,1.5943396226415094
84,106,82,24,0,1,77.36,1.7075471698113207
85,242,215,27,0,2,88.84,1.756198347107438
86,102,79,23,0,1,77.45,1.5588235294117647
87,100,78,22,0,1,78.0,1.38
88,125,101,24,0,1,80.8,1.504
89,129,104,25,0,1,80.62,1.682170542635659
90,100,75,25,0,1,75.0,1.46
91,243,216,27,0,2,88.89,1.6584362139917694
92,121,97,24,0,1,80.17,1.4545454545454546
93,377,349,28,0,3,92.57,1.8249336870026525
94,114,90,24,0,1,78.95,1.5
95,135,110,25,0,1,81.48,1.8148148148148149
96,112,89,23,0,1,79.46,1.5178571428571428
97,124,101,23,0,1,81.45,1.6129032258064515
98,1582,1552,30,0,13,98.1,1.9835651074589127
99,2247,2217,30,0,19,98.66,1.9554962171784602
100,119,94,25,0,1,78.99,1.4873949579831933
1 obj_id access_count hits misses mu lambda hit_rate avg_age
2 1 112 113 88 90 24 23 0 1 78.57 79.65 1.8295454545454546 1.6460176991150441
3 2 109 127 86 103 23 24 0 1 78.9 81.1 1.9883720930232558 1.4566929133858268
4 3 134 119 108 95 26 24 0 1 80.6 79.83 1.787037037037037 1.588235294117647
5 4 129 365 104 337 25 28 0 1 3 80.62 92.33 1.9519230769230769 1.7808219178082192
6 5 129 257 103 229 26 28 0 1 2 79.84 89.11 1.6504854368932038 1.7704280155642023
7 6 116 591 93 562 23 29 0 1 5 80.17 95.09 1.956989247311828 1.9137055837563453
8 7 116 482 91 453 25 29 0 1 4 78.45 93.98 2.0 1.7738589211618256
9 8 240 129 214 106 26 23 0 2 1 89.17 82.17 1.9766355140186915 1.7596899224806202
10 9 139 131 113 105 26 0 1 81.29 80.15 1.9646017699115044 1.3206106870229009
11 10 238 211 27 0 2 88.66 1.872037914691943 1.684873949579832
12 11 127 135 102 110 25 0 1 80.31 81.48 1.911764705882353 1.6592592592592592
13 12 123 855 97 826 26 29 0 1 7 78.86 96.61 2.1030927835051547 2.024561403508772
14 13 104 113 81 90 23 0 1 77.88 79.65 1.7901234567901234 1.6194690265486726
15 14 140 1330 115 1301 25 29 0 1 11 82.14 97.82 1.808695652173913 1.8406015037593986
16 15 259 479 231 451 28 0 2 4 89.19 94.15 2.017316017316017 1.8246346555323592
17 16 120 372 94 344 26 28 0 1 3 78.33 92.47 2.106382978723404 1.8629032258064515
18 17 121 129 96 104 25 0 1 79.34 80.62 2.1145833333333335 1.689922480620155
19 18 125 118 99 94 26 24 0 1 79.2 79.66 2.1818181818181817 1.6016949152542372
20 19 117 226 92 200 25 26 0 1 2 78.63 88.5 1.826086956521739 1.8185840707964602
21 20 119 117 94 93 25 24 0 1 78.99 79.49 2.0425531914893615 1.6666666666666667
22 21 132 672 106 643 26 29 0 1 6 80.3 95.68 1.849056603773585 1.9345238095238095
23 22 133 527 108 498 25 29 0 1 4 81.2 94.5 2.0833333333333335 1.8444022770398483
24 23 109 132 82 107 27 25 0 1 75.23 81.06 1.853658536585366 1.5757575757575757
25 24 128 111 103 87 25 24 0 1 80.47 78.38 2.1262135922330097 1.4594594594594594
26 25 115 107 91 82 24 25 0 1 79.13 76.64 1.989010989010989 1.7289719626168225
27 26 226 106 198 81 28 25 0 2 1 87.61 76.42 1.898989898989899 1.509433962264151
28 27 361 119 333 96 28 23 0 3 1 92.24 80.67 1.9009009009009008 1.6722689075630253
29 28 3646 219 3615 193 31 26 0 29 2 99.15 88.13 1.8912863070539419 1.82648401826484
30 29 149 253 123 225 26 28 0 1 2 82.55 88.93 2.16260162601626 1.841897233201581
31 30 108 114 83 89 25 0 1 76.85 78.07 1.8072289156626506 1.5614035087719298
32 31 133 218 108 190 25 28 0 1 2 81.2 87.16 2.037037037037037 1.9220183486238531
33 32 122 117 96 92 26 25 0 1 78.69 78.63 1.8333333333333333 1.5042735042735043
34 33 122 120 97 96 25 24 0 1 79.51 80.0 2.134020618556701 1.6833333333333333
35 34 131 376 108 348 23 28 0 1 3 82.44 92.55 1.8981481481481481 1.7207446808510638
36 35 103 1366 78 1336 25 30 0 1 12 75.73 97.8 2.0256410256410255 1.9546120058565153
37 36 374 238 346 211 28 27 0 3 2 92.51 88.66 1.9971098265895955 1.7941176470588236
38 37 135 118 110 94 25 24 0 1 81.48 79.66 1.8636363636363635 1.7118644067796611
39 38 116 704 92 675 24 29 0 1 6 79.31 95.88 1.9565217391304348 1.9630681818181819
40 39 131 112 106 89 25 23 0 1 80.92 79.46 2.018867924528302 1.6607142857142858
41 40 218 123 191 100 27 23 0 2 1 87.61 81.3 1.9738219895287958 1.6910569105691058
42 41 612 122 582 98 30 24 0 5 1 95.1 80.33 2.0034364261168385 1.721311475409836
43 42 119 336 95 308 24 28 0 1 3 79.83 91.67 1.9578947368421054 1.9285714285714286
44 43 251 814 224 785 27 29 0 2 7 89.24 96.44 2.107142857142857 1.8636363636363635
45 44 236 358 209 331 27 0 2 3 88.56 92.46 2.1578947368421053 1.8463687150837989
46 45 120 115 95 91 25 24 0 1 79.17 79.13 1.9789473684210526 1.626086956521739
47 46 1788 112 1758 88 30 24 0 15 1 98.32 78.57 2.036405005688282 1.4642857142857142
48 47 219 122 192 98 27 24 0 2 1 87.67 80.33 2.140625 1.6557377049180328
49 48 120 113 94 90 26 23 0 1 78.33 79.65 2.1382978723404253 1.4867256637168142
50 49 115 1108 92 1079 23 29 0 1 9 80.0 97.38 1.9782608695652173 1.9747292418772564
51 50 359 118 331 92 28 26 0 3 1 92.2 77.97 1.9818731117824773 1.5423728813559323
52 51 2181 115 2150 92 31 23 0 18 1 98.58 80.0 1.8227906976744186 1.5913043478260869
53 52 105 120 81 95 24 25 0 1 77.14 79.17 2.0 1.3666666666666667
54 53 125 338 99 310 26 28 0 1 3 79.2 91.72 2.111111111111111 1.7751479289940828
55 54 135 236 110 209 25 27 0 1 2 81.48 88.56 1.8818181818181818 1.8008474576271187
56 55 261 115 233 92 28 23 0 2 1 89.27 80.0 1.6523605150214593 1.4608695652173913
57 56 252 123 224 99 28 24 0 2 1 88.89 80.49 2.1026785714285716 1.6504065040650406
58 57 123 133 98 109 25 24 0 1 79.67 81.95 1.7551020408163265 1.7067669172932332
59 58 356 255 328 228 28 27 0 3 2 92.13 89.41 1.9817073170731707 1.6745098039215687
60 59 113 100 87 77 26 23 0 1 76.99 77.0 2.045977011494253 1.37
61 60 233 133 206 107 27 26 0 2 1 88.41 80.45 1.9368932038834952 1.3759398496240602
62 61 117 147 92 121 25 26 0 1 78.63 82.31 1.891304347826087 1.619047619047619
63 62 381 130 352 105 29 25 0 3 1 92.39 80.77 1.9573863636363635 1.7461538461538462
64 63 122 551 98 522 24 29 0 1 5 80.33 94.74 2.13265306122449 1.7568058076225046
65 64 235 155 207 130 28 25 0 2 1 88.09 83.87 1.9710144927536233 1.5806451612903225
66 65 131 251 105 223 26 28 0 1 2 80.15 88.84 2.2095238095238097 1.7091633466135459
67 66 476 102 446 79 30 23 0 4 1 93.7 77.45 1.993273542600897 1.4313725490196079
68 67 130 353 105 325 25 28 0 1 3 80.77 92.07 2.238095238095238 1.7705382436260624
69 68 110 245 85 218 25 27 0 1 2 77.27 88.98 2.011764705882353 1.616326530612245
70 69 446 1245 417 1216 29 0 4 11 93.5 97.67 1.9808153477218224 1.8441767068273092
71 70 474 234 445 207 29 27 0 4 2 93.88 88.46 1.9258426966292135 1.6581196581196582
72 71 112 130 88 106 24 0 1 78.57 81.54 1.7045454545454546 1.5
73 72 112 104 89 80 23 24 0 1 79.46 76.92 1.9213483146067416 1.4807692307692308
74 73 130 112 105 89 25 23 0 1 80.77 79.46 1.9523809523809523 1.4375
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200
experiments/No_Refresh_4_0s_ttl/hit_age.csv
View File

@@ -1,101 +1,101 @@
obj_id,hit_rate,avg_age
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73 72 0.7946428571428571 0.7692307692307693 1.9213483146067416 1.925
74 73 0.8076923076923077 0.7946428571428571 1.9523809523809523 1.8089887640449438
75 74 0.8910505836575876 0.7766990291262136 2.013100436681223 1.8125
76 75 0.9651972157772621 0.9984873695356224 2.1033653846153846 1.588648184618492
77 76 0.889344262295082 0.8134328358208955 1.9262672811059909 1.7155963302752293
78 77 0.7547169811320755 0.813953488372093 2.2 2.0095238095238095
79 78 0.8906882591093117 0.7788461538461539 2.0136363636363637 1.7037037037037037
80 79 0.7747747747747747 0.8345323741007195 1.872093023255814 2.0
81 80 0.7916666666666666 0.7876106194690266 1.8842105263157896 2.101123595505618
82 81 0.9512605042016806 0.7913043478260869 2.035335689045936 1.967032967032967
83 82 0.7909090909090909 0.7916666666666666 2.103448275862069 2.210526315789474
84 83 0.8838174273858921 0.7830188679245284 1.8873239436619718 2.036144578313253
85 84 0.9420289855072463 0.7735849056603774 2.0945054945054946 2.207317073170732
86 85 0.7913043478260869 0.8884297520661157 1.8461538461538463 1.9767441860465116
87 86 0.788135593220339 0.7745098039215687 1.881720430107527 2.0126582278481013
88 87 0.8996282527881041 0.78 1.9132231404958677 1.7692307692307692
89 88 0.77 0.808 2.1298701298701297 1.8613861386138615
90 89 0.8818565400843882 0.8062015503875969 2.0334928229665072 2.0865384615384617
91 90 0.8870292887029289 0.75 2.0047169811320753 1.9466666666666668
92 91 0.8906882591093117 0.8888888888888888 1.95 1.8657407407407407
93 92 0.9181286549707602 0.8016528925619835 1.8630573248407643 1.8144329896907216
94 93 0.9807568954457986 0.9257294429708223 1.973839110529758 1.9713467048710602
95 94 0.8074074074074075 0.7894736842105263 1.963302752293578 1.9
96 95 0.9862222222222222 0.8148148148148148 1.9936908517350158 2.227272727272727
97 96 0.7894736842105263 0.7946428571428571 1.9222222222222223 1.9101123595505618
98 97 0.8955223880597015 0.8145161290322581 2.0 1.9801980198019802
99 98 0.9176136363636364 0.9810366624525917 1.91640866873065 2.0219072164948453
100 99 0.782608695652174 0.986648865153538 2.077777777777778 1.981957600360848
101 100 0.8095238095238095 0.7899159663865546 1.9509803921568627 1.8829787234042554

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@@ -1,9 +1,9 @@
,hit_rate,avg_age
count,100.0,100.0
mean,0.8423156495596558,1.9739537134378724
std,0.06549649389081656,0.11806123481662535
min,0.7522935779816514,1.6504854368932038
25%,0.791205533596838,1.896437198067633
50%,0.8084263065179096,1.9774481917919544
75%,0.8912046044098574,2.0384160756501184
max,0.9914975315414153,2.238095238095238
mean,0.8461611168860607,1.966244726179581
std,0.06904890299740231,0.12918574131498722
min,0.75,1.588648184618492
25%,0.7946428571428571,1.8798211706342576
50%,0.8120158760642724,1.9792294446835987
75%,0.8918173495078966,2.054958791208791
max,0.9984873695356224,2.2560975609756095
1 hit_rate avg_age
2 count 100.0 100.0
3 mean 0.8423156495596558 0.8461611168860607 1.9739537134378724 1.966244726179581
4 std 0.06549649389081656 0.06904890299740231 0.11806123481662535 0.12918574131498722
5 min 0.7522935779816514 0.75 1.6504854368932038 1.588648184618492
6 25% 0.791205533596838 0.7946428571428571 1.896437198067633 1.8798211706342576
7 50% 0.8084263065179096 0.8120158760642724 1.9774481917919544 1.9792294446835987
8 75% 0.8912046044098574 0.8918173495078966 2.0384160756501184 2.054958791208791
9 max 0.9914975315414153 0.9984873695356224 2.238095238095238 2.2560975609756095