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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_5_0s_ttl/details.csv
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@@ -1,101 +1,101 @@
obj_id,access_count,hits,misses,mu,lambda,hit_rate,avg_age
1,126,105,21,0,1,83.33,2.3142857142857145
2,139,117,22,0,1,84.17,2.572649572649573
3,350,327,23,0,3,93.43,2.2966360856269112
4,2479,2454,25,0,20,98.99,2.312958435207824
5,138,116,22,0,1,84.06,2.4827586206896552
6,100,80,20,0,1,80.0,2.2625
7,141,120,21,0,1,85.11,2.4
8,132,111,21,0,1,84.09,2.630630630630631
9,129,108,21,0,1,83.72,2.138888888888889
10,472,448,24,0,4,94.92,2.3995535714285716
11,136,115,21,0,1,84.56,2.408695652173913
12,132,110,22,0,1,83.33,2.5
13,249,226,23,0,2,90.76,2.52212389380531
14,106,86,20,0,1,81.13,2.5813953488372094
15,245,222,23,0,2,90.61,2.554054054054054
16,120,99,21,0,1,82.5,2.585858585858586
17,245,222,23,0,2,90.61,2.6036036036036037
18,242,219,23,0,2,90.5,2.374429223744292
19,138,117,21,0,1,84.78,2.3076923076923075
20,119,97,22,0,1,81.51,2.3608247422680413
21,129,108,21,0,1,83.72,2.3796296296296298
22,133,112,21,0,1,84.21,2.607142857142857
23,2700,2675,25,0,22,99.07,2.457196261682243
24,117,96,21,0,1,82.05,2.2708333333333335
25,141,120,21,0,1,85.11,2.683333333333333
26,123,102,21,0,1,82.93,2.411764705882353
27,1495,1470,25,0,12,98.33,2.4210884353741497
28,723,699,24,0,6,96.68,2.4163090128755367
29,135,114,21,0,1,84.44,2.43859649122807
30,482,458,24,0,4,95.02,2.6397379912663754
31,119,99,20,0,1,83.19,2.757575757575758
32,357,334,23,0,3,93.56,2.4730538922155687
33,2098,2073,25,0,17,98.81,2.4669561022672455
34,125,104,21,0,1,83.2,2.576923076923077
35,779,755,24,0,6,96.92,2.3046357615894038
36,237,214,23,0,2,90.3,2.4205607476635516
37,104,84,20,0,1,80.77,2.392857142857143
38,113,92,21,0,1,81.42,2.619565217391304
39,254,231,23,0,2,90.94,2.7532467532467533
40,265,242,23,0,2,91.32,2.334710743801653
41,389,365,24,0,3,93.83,2.610958904109589
42,136,115,21,0,1,84.56,2.617391304347826
43,118,99,19,0,1,83.9,2.5656565656565657
44,128,107,21,0,1,83.59,2.5794392523364484
45,238,215,23,0,2,90.34,2.66046511627907
46,133,112,21,0,1,84.21,2.6160714285714284
47,119,97,22,0,1,81.51,2.3608247422680413
48,134,112,22,0,1,83.58,2.3482142857142856
49,129,107,22,0,1,82.95,2.4299065420560746
50,129,108,21,0,1,83.72,2.4444444444444446
51,125,105,20,0,1,84.0,2.5428571428571427
52,261,238,23,0,2,91.19,2.676470588235294
53,162,140,22,0,1,86.42,2.7142857142857144
54,281,258,23,0,2,91.81,2.449612403100775
55,122,101,21,0,1,82.79,2.4653465346534653
56,1053,1028,25,0,9,97.63,2.4747081712062258
57,2596,2571,25,0,21,99.04,2.3936211590820693
58,265,243,22,0,2,91.7,2.588477366255144
59,245,222,23,0,2,90.61,2.3603603603603602
60,131,109,22,0,1,83.21,2.4220183486238533
61,229,206,23,0,2,89.96,2.7766990291262137
62,120,100,20,0,1,83.33,2.38
63,121,100,21,0,1,82.64,2.58
64,1274,1250,24,0,10,98.12,2.36
65,920,895,25,0,7,97.28,2.4960893854748605
66,123,103,20,0,1,83.74,2.262135922330097
67,118,98,20,0,1,83.05,2.7244897959183674
68,124,104,20,0,1,83.87,2.5
69,253,230,23,0,2,90.91,2.373913043478261
70,124,103,21,0,1,83.06,2.3689320388349513
71,369,346,23,0,3,93.77,2.5751445086705202
72,127,106,21,0,1,83.46,2.4622641509433962
73,233,211,22,0,2,90.56,2.5402843601895735
74,118,98,20,0,1,83.05,2.673469387755102
75,234,211,23,0,2,90.17,2.5781990521327014
76,347,323,24,0,3,93.08,2.3777089783281733
77,108,87,21,0,1,80.56,2.3908045977011496
78,271,248,23,0,2,91.51,2.403225806451613
79,872,848,24,0,7,97.25,2.4233490566037736
80,122,100,22,0,1,81.97,2.53
81,112,91,21,0,1,81.25,2.956043956043956
82,252,229,23,0,2,90.87,2.423580786026201
83,118,97,21,0,1,82.2,2.5670103092783507
84,109,91,18,0,1,83.49,2.4725274725274726
85,392,369,23,0,3,94.13,2.4119241192411924
86,367,343,24,0,3,93.46,2.3848396501457727
87,130,109,21,0,1,83.85,2.3211009174311927
88,260,237,23,0,2,91.15,2.3839662447257384
89,132,111,21,0,1,84.09,2.4324324324324325
90,119,98,21,0,1,82.35,2.520408163265306
91,143,121,22,0,1,84.62,2.2892561983471076
92,112,92,20,0,1,82.14,2.6739130434782608
93,722,698,24,0,6,96.68,2.4498567335243555
94,130,108,22,0,1,83.08,2.7222222222222223
95,128,107,21,0,1,83.59,2.439252336448598
96,120,99,21,0,1,82.5,2.4545454545454546
97,639,615,24,0,5,96.24,2.4959349593495936
98,134,113,21,0,1,84.33,2.495575221238938
99,358,334,24,0,3,93.3,2.3832335329341316
100,117,96,21,0,1,82.05,2.53125
1,136,113,23,0,1,83.09,2.0808823529411766
2,139,117,22,0,1,84.17,2.1870503597122304
3,151,127,24,0,1,84.11,1.8344370860927153
4,385,360,25,0,3,93.51,2.412987012987013
5,135,112,23,0,1,82.96,1.8
6,130,107,23,0,1,82.31,1.823076923076923
7,129,107,22,0,1,82.95,2.1782945736434107
8,133,110,23,0,1,82.71,2.075187969924812
9,132,110,22,0,1,83.33,2.1136363636363638
10,113,92,21,0,1,81.42,2.0707964601769913
11,278,253,25,0,2,91.01,2.0755395683453237
12,126,103,23,0,1,81.75,2.007936507936508
13,128,105,23,0,1,82.03,2.109375
14,147,126,21,0,1,85.71,2.183673469387755
15,137,113,24,0,1,82.48,2.0072992700729926
16,123,100,23,0,1,81.3,1.8048780487804879
17,239,215,24,0,2,89.96,2.2677824267782425
18,135,113,22,0,1,83.7,2.1481481481481484
19,124,102,22,0,1,82.26,2.161290322580645
20,264,239,25,0,2,90.53,2.242424242424242
21,124,101,23,0,1,81.45,2.1129032258064515
22,277,252,25,0,2,90.97,1.963898916967509
23,127,105,22,0,1,82.68,2.0078740157480315
24,2113,2086,27,0,16,98.72,2.4557501183151915
25,271,247,24,0,2,91.14,2.2287822878228782
26,126,104,22,0,1,82.54,1.8571428571428572
27,160,137,23,0,1,85.62,2.3375
28,122,99,23,0,1,81.15,2.0737704918032787
29,768,742,26,0,6,96.61,2.5247395833333335
30,267,243,24,0,2,91.01,2.4644194756554305
31,260,236,24,0,2,90.77,2.326923076923077
32,127,105,22,0,1,82.68,1.9448818897637796
33,131,109,22,0,1,83.21,1.8931297709923665
34,135,111,24,0,1,82.22,2.037037037037037
35,378,353,25,0,3,93.39,2.328042328042328
36,408,382,26,0,3,93.63,2.2205882352941178
37,121,98,23,0,1,80.99,2.024793388429752
38,139,116,23,0,1,83.45,2.028776978417266
39,279,254,25,0,2,91.04,2.3512544802867383
40,580,554,26,0,4,95.52,2.360344827586207
41,276,251,25,0,2,90.94,2.25
42,131,111,20,0,1,84.73,2.1374045801526718
43,385,360,25,0,3,93.51,2.3766233766233764
44,690,664,26,0,5,96.23,2.294202898550725
45,139,116,23,0,1,83.45,2.014388489208633
46,1010,983,27,0,7,97.33,2.488118811881188
47,261,237,24,0,2,90.8,2.256704980842912
48,158,134,24,0,1,84.81,2.2025316455696204
49,121,100,21,0,1,82.64,2.0661157024793386
50,125,103,22,0,1,82.4,2.208
51,154,131,23,0,1,85.06,2.0259740259740258
52,126,103,23,0,1,81.75,2.0952380952380953
53,141,118,23,0,1,83.69,2.00709219858156
54,153,130,23,0,1,84.97,2.111111111111111
55,131,109,22,0,1,83.21,2.16793893129771
56,409,383,26,0,3,93.64,2.3056234718826407
57,132,110,22,0,1,83.33,1.9166666666666667
58,415,390,25,0,3,93.98,2.2409638554216866
59,141,118,23,0,1,83.69,1.8794326241134751
60,152,128,24,0,1,84.21,2.1052631578947367
61,123,100,23,0,1,81.3,1.9024390243902438
62,240,216,24,0,2,90.0,2.225
63,132,110,22,0,1,83.33,1.9393939393939394
64,133,110,23,0,1,82.71,2.045112781954887
65,302,276,26,0,2,91.39,2.218543046357616
66,127,105,22,0,1,82.68,1.937007874015748
67,134,111,23,0,1,82.84,2.1940298507462686
68,100,78,22,0,1,78.0,2.08
69,151,128,23,0,1,84.77,2.2980132450331126
70,133,109,24,0,1,81.95,1.9548872180451127
71,139,117,22,0,1,84.17,2.2014388489208634
72,108,86,22,0,1,79.63,1.9259259259259258
73,140,116,24,0,1,82.86,1.9
74,157,133,24,0,1,84.71,2.1656050955414012
75,133,110,23,0,1,82.71,2.2706766917293235
76,132,110,22,0,1,83.33,2.121212121212121
77,380,354,26,0,3,93.16,2.471052631578947
78,139,118,21,0,1,84.89,2.035971223021583
79,145,122,23,0,1,84.14,2.0827586206896553
80,259,234,25,0,2,90.35,2.2664092664092665
81,31960,31933,27,0,241,99.92,2.046589486858573
82,380,355,25,0,3,93.42,2.305263157894737
83,126,104,22,0,1,82.54,1.8968253968253967
84,135,113,22,0,1,83.7,2.140740740740741
85,249,224,25,0,2,89.96,2.3293172690763053
86,519,493,26,0,4,94.99,2.250481695568401
87,413,387,26,0,3,93.7,2.1598062953995156
88,271,246,25,0,2,90.77,2.1549815498154983
89,2027,2000,27,0,15,98.67,2.3739516526887026
90,129,107,22,0,1,82.95,2.062015503875969
91,406,381,25,0,3,93.84,2.2610837438423643
92,139,115,24,0,1,82.73,2.172661870503597
93,677,651,26,0,5,96.16,2.3943870014771047
94,136,113,23,0,1,83.09,1.9779411764705883
95,152,128,24,0,1,84.21,2.210526315789474
96,904,877,27,0,7,97.01,2.424778761061947
97,392,366,26,0,3,93.37,2.326530612244898
98,136,114,22,0,1,83.82,2.1838235294117645
99,243,219,24,0,2,90.12,2.1893004115226335
100,272,247,25,0,2,90.81,2.1654411764705883
1 obj_id access_count hits misses mu lambda hit_rate avg_age
2 1 126 136 105 113 21 23 0 1 83.33 83.09 2.3142857142857145 2.0808823529411766
3 2 139 117 22 0 1 84.17 2.572649572649573 2.1870503597122304
4 3 350 151 327 127 23 24 0 3 1 93.43 84.11 2.2966360856269112 1.8344370860927153
5 4 2479 385 2454 360 25 0 20 3 98.99 93.51 2.312958435207824 2.412987012987013
6 5 138 135 116 112 22 23 0 1 84.06 82.96 2.4827586206896552 1.8
7 6 100 130 80 107 20 23 0 1 80.0 82.31 2.2625 1.823076923076923
8 7 141 129 120 107 21 22 0 1 85.11 82.95 2.4 2.1782945736434107
9 8 132 133 111 110 21 23 0 1 84.09 82.71 2.630630630630631 2.075187969924812
10 9 129 132 108 110 21 22 0 1 83.72 83.33 2.138888888888889 2.1136363636363638
11 10 472 113 448 92 24 21 0 4 1 94.92 81.42 2.3995535714285716 2.0707964601769913
12 11 136 278 115 253 21 25 0 1 2 84.56 91.01 2.408695652173913 2.0755395683453237
13 12 132 126 110 103 22 23 0 1 83.33 81.75 2.5 2.007936507936508
14 13 249 128 226 105 23 0 2 1 90.76 82.03 2.52212389380531 2.109375
15 14 106 147 86 126 20 21 0 1 81.13 85.71 2.5813953488372094 2.183673469387755
16 15 245 137 222 113 23 24 0 2 1 90.61 82.48 2.554054054054054 2.0072992700729926
17 16 120 123 99 100 21 23 0 1 82.5 81.3 2.585858585858586 1.8048780487804879
18 17 245 239 222 215 23 24 0 2 90.61 89.96 2.6036036036036037 2.2677824267782425
19 18 242 135 219 113 23 22 0 2 1 90.5 83.7 2.374429223744292 2.1481481481481484
20 19 138 124 117 102 21 22 0 1 84.78 82.26 2.3076923076923075 2.161290322580645
21 20 119 264 97 239 22 25 0 1 2 81.51 90.53 2.3608247422680413 2.242424242424242
22 21 129 124 108 101 21 23 0 1 83.72 81.45 2.3796296296296298 2.1129032258064515
23 22 133 277 112 252 21 25 0 1 2 84.21 90.97 2.607142857142857 1.963898916967509
24 23 2700 127 2675 105 25 22 0 22 1 99.07 82.68 2.457196261682243 2.0078740157480315
25 24 117 2113 96 2086 21 27 0 1 16 82.05 98.72 2.2708333333333335 2.4557501183151915
26 25 141 271 120 247 21 24 0 1 2 85.11 91.14 2.683333333333333 2.2287822878228782
27 26 123 126 102 104 21 22 0 1 82.93 82.54 2.411764705882353 1.8571428571428572
28 27 1495 160 1470 137 25 23 0 12 1 98.33 85.62 2.4210884353741497 2.3375
29 28 723 122 699 99 24 23 0 6 1 96.68 81.15 2.4163090128755367 2.0737704918032787
30 29 135 768 114 742 21 26 0 1 6 84.44 96.61 2.43859649122807 2.5247395833333335
31 30 482 267 458 243 24 0 4 2 95.02 91.01 2.6397379912663754 2.4644194756554305
32 31 119 260 99 236 20 24 0 1 2 83.19 90.77 2.757575757575758 2.326923076923077
33 32 357 127 334 105 23 22 0 3 1 93.56 82.68 2.4730538922155687 1.9448818897637796
34 33 2098 131 2073 109 25 22 0 17 1 98.81 83.21 2.4669561022672455 1.8931297709923665
35 34 125 135 104 111 21 24 0 1 83.2 82.22 2.576923076923077 2.037037037037037
36 35 779 378 755 353 24 25 0 6 3 96.92 93.39 2.3046357615894038 2.328042328042328
37 36 237 408 214 382 23 26 0 2 3 90.3 93.63 2.4205607476635516 2.2205882352941178
38 37 104 121 84 98 20 23 0 1 80.77 80.99 2.392857142857143 2.024793388429752
39 38 113 139 92 116 21 23 0 1 81.42 83.45 2.619565217391304 2.028776978417266
40 39 254 279 231 254 23 25 0 2 90.94 91.04 2.7532467532467533 2.3512544802867383
41 40 265 580 242 554 23 26 0 2 4 91.32 95.52 2.334710743801653 2.360344827586207
42 41 389 276 365 251 24 25 0 3 2 93.83 90.94 2.610958904109589 2.25
43 42 136 131 115 111 21 20 0 1 84.56 84.73 2.617391304347826 2.1374045801526718
44 43 118 385 99 360 19 25 0 1 3 83.9 93.51 2.5656565656565657 2.3766233766233764
45 44 128 690 107 664 21 26 0 1 5 83.59 96.23 2.5794392523364484 2.294202898550725
46 45 238 139 215 116 23 0 2 1 90.34 83.45 2.66046511627907 2.014388489208633
47 46 133 1010 112 983 21 27 0 1 7 84.21 97.33 2.6160714285714284 2.488118811881188
48 47 119 261 97 237 22 24 0 1 2 81.51 90.8 2.3608247422680413 2.256704980842912
49 48 134 158 112 134 22 24 0 1 83.58 84.81 2.3482142857142856 2.2025316455696204
50 49 129 121 107 100 22 21 0 1 82.95 82.64 2.4299065420560746 2.0661157024793386
51 50 129 125 108 103 21 22 0 1 83.72 82.4 2.4444444444444446 2.208
52 51 125 154 105 131 20 23 0 1 84.0 85.06 2.5428571428571427 2.0259740259740258
53 52 261 126 238 103 23 0 2 1 91.19 81.75 2.676470588235294 2.0952380952380953
54 53 162 141 140 118 22 23 0 1 86.42 83.69 2.7142857142857144 2.00709219858156
55 54 281 153 258 130 23 0 2 1 91.81 84.97 2.449612403100775 2.111111111111111
56 55 122 131 101 109 21 22 0 1 82.79 83.21 2.4653465346534653 2.16793893129771
57 56 1053 409 1028 383 25 26 0 9 3 97.63 93.64 2.4747081712062258 2.3056234718826407
58 57 2596 132 2571 110 25 22 0 21 1 99.04 83.33 2.3936211590820693 1.9166666666666667
59 58 265 415 243 390 22 25 0 2 3 91.7 93.98 2.588477366255144 2.2409638554216866
60 59 245 141 222 118 23 0 2 1 90.61 83.69 2.3603603603603602 1.8794326241134751
61 60 131 152 109 128 22 24 0 1 83.21 84.21 2.4220183486238533 2.1052631578947367
62 61 229 123 206 100 23 0 2 1 89.96 81.3 2.7766990291262137 1.9024390243902438
63 62 120 240 100 216 20 24 0 1 2 83.33 90.0 2.38 2.225
64 63 121 132 100 110 21 22 0 1 82.64 83.33 2.58 1.9393939393939394
65 64 1274 133 1250 110 24 23 0 10 1 98.12 82.71 2.36 2.045112781954887
66 65 920 302 895 276 25 26 0 7 2 97.28 91.39 2.4960893854748605 2.218543046357616
67 66 123 127 103 105 20 22 0 1 83.74 82.68 2.262135922330097 1.937007874015748
68 67 118 134 98 111 20 23 0 1 83.05 82.84 2.7244897959183674 2.1940298507462686
69 68 124 100 104 78 20 22 0 1 83.87 78.0 2.5 2.08
70 69 253 151 230 128 23 0 2 1 90.91 84.77 2.373913043478261 2.2980132450331126
71 70 124 133 103 109 21 24 0 1 83.06 81.95 2.3689320388349513 1.9548872180451127
72 71 369 139 346 117 23 22 0 3 1 93.77 84.17 2.5751445086705202 2.2014388489208634
73 72 127 108 106 86 21 22 0 1 83.46 79.63 2.4622641509433962 1.9259259259259258
74 73 233 140 211 116 22 24 0 2 1 90.56 82.86 2.5402843601895735 1.9
75 74 118 157 98 133 20 24 0 1 83.05 84.71 2.673469387755102 2.1656050955414012
76 75 234 133 211 110 23 0 2 1 90.17 82.71 2.5781990521327014 2.2706766917293235
77 76 347 132 323 110 24 22 0 3 1 93.08 83.33 2.3777089783281733 2.121212121212121
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101 100 117 272 96 247 21 25 0 1 2 82.05 90.81 2.53125 2.1654411764705883

200
experiments/No_Refresh_5_0s_ttl/hit_age.csv
View File

@@ -1,101 +1,101 @@
obj_id,hit_rate,avg_age
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1 obj_id hit_rate avg_age
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76 75 0.9017094017094017 0.8270676691729323 2.5781990521327014 2.7454545454545456
77 76 0.930835734870317 0.8333333333333334 2.3777089783281733 2.5454545454545454
78 77 0.8055555555555556 0.9315789473684211 2.3908045977011496 2.652542372881356
79 78 0.915129151291513 0.8489208633093526 2.403225806451613 2.3983050847457625
80 79 0.9724770642201835 0.8413793103448276 2.4233490566037736 2.4754098360655736
81 80 0.819672131147541 0.9034749034749034 2.53 2.5085470085470085
82 81 0.8125 0.9991551939924906 2.956043956043956 2.0483199198321485
83 82 0.9087301587301587 0.9342105263157895 2.423580786026201 2.4676056338028167
84 83 0.8220338983050848 0.8253968253968254 2.5670103092783507 2.298076923076923
85 84 0.8348623853211009 0.837037037037037 2.4725274725274726 2.5575221238938055
86 85 0.9413265306122449 0.8995983935742972 2.4119241192411924 2.5892857142857144
87 86 0.9346049046321526 0.9499036608863198 2.3848396501457727 2.369168356997972
88 87 0.8384615384615385 0.937046004842615 2.3211009174311927 2.304909560723514
89 88 0.9115384615384615 0.9077490774907749 2.3839662447257384 2.3739837398373984
90 89 0.8409090909090909 0.986679822397632 2.4324324324324325 2.406
91 90 0.8235294117647058 0.8294573643410853 2.520408163265306 2.485981308411215
92 91 0.8461538461538461 0.9384236453201971 2.2892561983471076 2.409448818897638
93 92 0.8214285714285714 0.8273381294964028 2.6739130434782608 2.626086956521739
94 93 0.9667590027700831 0.9615952732644018 2.4498567335243555 2.490015360983103
95 94 0.8307692307692308 0.8308823529411765 2.7222222222222223 2.3805309734513274
96 95 0.8359375 0.8421052631578947 2.439252336448598 2.625
97 96 0.825 0.9701327433628318 2.4545454545454546 2.4994298745724057
98 97 0.9624413145539906 0.9336734693877551 2.4959349593495936 2.4918032786885247
99 98 0.8432835820895522 0.8382352941176471 2.495575221238938 2.6052631578947367
100 99 0.9329608938547486 0.9012345679012346 2.3832335329341316 2.4292237442922375
101 100 0.8205128205128205 0.9080882352941176 2.53125 2.3846153846153846

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@@ -1,9 +1,9 @@
,hit_rate,avg_age
count,100.0,100.0
mean,0.8761406920218441,2.483419694203133
std,0.05650045684063346,0.13678454136185952
min,0.8,2.138888888888889
25%,0.831983193277311,2.3846212987907642
50%,0.8438640132669983,2.4597302063128197
75%,0.9155921464875026,2.578509102183638
max,0.9907407407407407,2.956043956043956
mean,0.8689161003980432,2.469801316710304
std,0.05362014513420393,0.13549611807744597
min,0.78,2.0483199198321485
25%,0.8270676691729323,2.3846153846153846
50%,0.841726618705036,2.4849237260629664
75%,0.9100820467221729,2.5632199275958536
max,0.9991551939924906,2.7454545454545456
1 hit_rate avg_age
2 count 100.0 100.0
3 mean 0.8761406920218441 0.8689161003980432 2.483419694203133 2.469801316710304
4 std 0.05650045684063346 0.05362014513420393 0.13678454136185952 0.13549611807744597
5 min 0.8 0.78 2.138888888888889 2.0483199198321485
6 25% 0.831983193277311 0.8270676691729323 2.3846212987907642 2.3846153846153846
7 50% 0.8438640132669983 0.841726618705036 2.4597302063128197 2.4849237260629664
8 75% 0.9155921464875026 0.9100820467221729 2.578509102183638 2.5632199275958536
9 max 0.9907407407407407 0.9991551939924906 2.956043956043956 2.7454545454545456