feat(simulation): add expected age computation and enhance statistics reporting

- Increased `ACCESS_COUNT_LIMIT` to extend simulation runtime.
- Introduced `expected_age` metric based on hit rates for additional insights.
- Calculated and exported `age_delta` for comparing average and expected ages.
- Improved data exports to include detailed metrics for analysis.

Signed-off-by: Tuan-Dat Tran <tuan-dat.tran@tudattr.dev>
This commit is contained in:
Tuan-Dat Tran
2024-11-29 14:42:52 +01:00
parent 6672608721
commit f32588340d
41 changed files with 13020 additions and 3361 deletions

View File

@@ -1,100 +1,101 @@
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90,4311,3981,330,0,4,0.9234516353514266,1.3825098585015079,0.4263814614166121,0.9561283970848957
91,2191,1885,306,0,2,0.8603377453217709,1.2765860337745323,0.3700905180126741,0.9064955157618582
92,3237,2914,323,0,3,0.90021624961384,1.3710225517454433,0.4051946480344037,0.9658279037110395
93,1055,791,264,0,1,0.7497630331753554,1.1601895734597156,0.28107230295815455,0.8791172705015611
94,1047,776,271,0,1,0.7411652340019103,1.0983763132760267,0.27466295204655317,0.8237133612294736
95,1090,821,269,0,1,0.7532110091743119,1.1394495412844037,0.2836634121706927,0.855786129113711
96,1073,801,272,0,1,0.7465051258154707,1.1286113699906803,0.2786349514343859,0.8499764185562945
97,2155,1848,307,0,2,0.8575406032482599,1.265429234338747,0.3676879431096947,0.8977412912290523
98,2170,1860,310,0,2,0.8571428571428571,1.2792626728110599,0.36734693877551017,0.9119157340355497
99,1086,819,267,0,1,0.7541436464088398,1.156537753222836,0.2843663197094106,0.8721714335134254
100,4283,3951,332,0,4,0.9224842400186785,1.394349754844735,0.4254885865414194,0.9688611683033156
1 obj_id access_count hits misses mu lambda hit_rate avg_age expected_age age_delta
2 1 127 3243 93 2919 34 324 0 1 3 0.7837837837837838 0.9000925069380203 1.2364864864864864 1.3200740055504163 0.4050832605229851 0.9149907450274313
3 2 148 1114 116 842 32 272 0 1 0.7264957264957265 0.755834829443447 1.0940170940170941 1.1301615798922802 0.2856431446999023 0.8445184351923778
4 3 117 1070 85 805 32 265 0 1 0.728 0.7523364485981309 1.032 1.1158878504672898 0.283005065944624 0.8328827845226658
5 4 125 4305 91 3973 34 332 0 1 4 0.7571428571428571 0.9228803716608595 1.1642857142857144 1.3440185830429734 0.42585409019844306 0.9181644928445303
6 5 140 1115 106 843 34 272 0 1 0.7538461538461538 0.7560538116591928 1.2538461538461538 1.105829596412556 0.2858086830621971 0.8200209133503589
7 6 130 28028 98 27673 32 355 0 1 26 0.8555133079847909 0.9873340944769516 1.11787072243346 1.4631796774653918 0.487414307058311 0.9757653704070808
8 7 263 2159 225 1853 38 306 0 2 0.7155963302752294 0.8582677165354331 1.073394495412844 1.2802223251505327 0.3683117366234733 0.9119105885270594
9 8 109 1082 78 819 31 263 0 1 0.9047619047619048 0.7569316081330869 1.3358395989974938 1.156192236598891 0.2864727296954705 0.8697195069034205
10 9 399 1081 361 805 38 276 0 3 1 0.7322834645669292 0.7446808510638298 1.1496062992125984 1.0555041628122108 0.2772747849705749 0.7782293778416359
11 10 127 1095 93 832 34 263 0 1 0.7295081967213115 0.7598173515981735 1.0901639344262295 1.1461187214611872 0.28866120389483124 0.8574575175663559
12 11 122 3252 89 2930 33 322 0 1 3 0.7605633802816901 0.9009840098400984 1.1126760563380282 1.3766912669126692 0.40588609299377126 0.9708051739188979
13 12 142 4343 108 4012 34 331 0 1 4 0.7154471544715447 0.9237854017959936 0.983739837398374 1.388671425282063 0.4266897342856926 0.9619816909963705
14 13 123 1074 88 801 35 273 0 1 0.7480916030534351 0.7458100558659218 1.251908396946565 1.1517690875232776 0.27811631971536466 0.8736527678079129
15 14 131 2071 98 1767 33 304 0 1 2 0.7801418439716312 0.8532110091743119 1.148936170212766 1.3109608884596813 0.3639845130881239 0.9469763753715574
16 15 141 1088 110 819 31 269 0 1 0.6764705882352942 0.7527573529411765 0.9901960784313726 1.1865808823529411 0.2833218162035035 0.9032590661494376
17 16 102 7567 69 7223 33 344 0 1 7 0.7053571428571429 0.9545394476014273 0.9910714285714286 1.4121844852649663 0.455572778513619 0.9566117067513473
18 17 112 12012 79 11663 33 349 0 1 11 0.8978494623655914 0.970945720945721 1.3091397849462365 1.4805194805194806 0.4713677965114029 1.0091516840080776
19 18 372 3250 334 2929 38 321 0 3 0.7156862745098039 0.9012307692307693 1.0784313725490196 1.361846153846154 0.40610844970414206 0.9557377041420119
20 19 102 1085 73 812 29 273 0 1 0.7702702702702703 0.7483870967741936 1.114864864864865 1.1216589861751152 0.2800416233090531 0.8416173628660621
21 20 148 1061 114 795 34 266 0 1 0.8958904109589041 0.7492931196983977 1.3068493150684932 1.1225259189443921 0.2807200896136787 0.8418058293307134
22 21 365 1036 327 771 38 265 0 3 1 0.9230769230769231 0.7442084942084942 1.4384615384615385 1.1447876447876448 0.2769231414260372 0.8678645033616077
23 22 520 3152 480 2825 40 327 0 4 3 0.8608058608058609 0.896256345177665 1.3626373626373627 1.3480329949238579 0.40163771813561283 0.9463952767882451
24 23 273 2119 235 1814 38 305 0 2 0.7777777777777778 0.8560641812175555 1.1176470588235294 1.315714959886739 0.3664229411818418 0.9492920187048972
25 24 153 1040 119 771 34 269 0 1 0.9489414694894147 0.7413461538461539 1.3424657534246576 1.0913461538461537 0.27479705991124265 0.8165490939349112
26 25 803 1078 762 807 41 271 0 7 1 0.75 0.74860853432282 1.1171875 1.1456400742115027 0.2802073688304804 0.8654327053810222
27 26 128 58220 96 57862 32 358 0 1 54 0.6915887850467289 0.9938509103400893 1.0841121495327102 1.4793713500515286 0.49386981599191215 0.9855015340596165
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29 28 946 1045 905 779 41 266 0 8 1 0.7304347826086957 0.7454545454545455 1.0347826086956522 1.1330143540669857 0.2778512396694215 0.8551631143975642
30 29 115 1034 84 759 31 275 0 1 0.7304347826086957 0.7340425531914894 1.0956521739130434 1.1179883945841393 0.2694092349479402 0.8485791596361991
31 30 115 1092 84 819 31 273 0 1 0.8604651162790697 0.75 1.306201550387597 1.1007326007326008 0.28125 0.8194826007326008
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33 32 118 1000 85 740 33 260 0 1 0.7317073170731707 0.74 1.2926829268292683 1.128 0.2738 0.8541999999999998
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39 38 122 1090 89 813 33 277 0 1 0.7559055118110236 0.7458715596330275 1.0551181102362204 1.110091743119266 0.27816219173470247 0.8319295513845636
40 39 127 1051 96 777 31 274 0 1 0.7156862745098039 0.7392959086584205 1.0784313725490196 1.076117982873454 0.2732792202795398 0.8028387625939142
41 40 102 1060 73 792 29 268 0 1 0.7697841726618705 0.7471698113207547 1.1007194244604317 1.1226415094339623 0.27913136347454603 0.8435101459594163
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43 42 118 1049 86 779 32 270 0 1 0.7555555555555555 0.7426120114394662 1.0518518518518518 1.0972354623450906 0.2757362997670849 0.8214991625780057
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47 46 139 1106 107 831 32 275 0 1 0.75 0.7513562386980108 1.15 1.1157323688969258 0.28226809871521114 0.8334642701817148
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View File

@@ -1,101 +1,101 @@
obj_id,hit_rate,avg_age
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obj_id,hit_rate,avg_age,expected_age
1,0.9000925069380203,1.3200740055504163,0.4050832605229851
2,0.755834829443447,1.1301615798922802,0.2856431446999023
3,0.7523364485981309,1.1158878504672898,0.283005065944624
4,0.9228803716608595,1.3440185830429734,0.42585409019844306
5,0.7560538116591928,1.105829596412556,0.2858086830621971
6,0.9873340944769516,1.4631796774653918,0.487414307058311
7,0.8582677165354331,1.2802223251505327,0.3683117366234733
8,0.7569316081330869,1.156192236598891,0.2864727296954705
9,0.7446808510638298,1.0555041628122108,0.2772747849705749
10,0.7598173515981735,1.1461187214611872,0.28866120389483124
11,0.9009840098400984,1.3766912669126692,0.40588609299377126
12,0.9237854017959936,1.388671425282063,0.4266897342856926
13,0.7458100558659218,1.1517690875232776,0.27811631971536466
14,0.8532110091743119,1.3109608884596813,0.3639845130881239
15,0.7527573529411765,1.1865808823529411,0.2833218162035035
16,0.9545394476014273,1.4121844852649663,0.455572778513619
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19,0.7483870967741936,1.1216589861751152,0.2800416233090531
20,0.7492931196983977,1.1225259189443921,0.2807200896136787
21,0.7442084942084942,1.1447876447876448,0.2769231414260372
22,0.896256345177665,1.3480329949238579,0.40163771813561283
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24,0.7413461538461539,1.0913461538461537,0.27479705991124265
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29,0.7340425531914894,1.1179883945841393,0.2694092349479402
30,0.75,1.1007326007326008,0.28125
31,0.8550519357884797,1.2889518413597734,0.3655569064478132
32,0.74,1.128,0.2738
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34,0.8619756427604871,1.298150654036987,0.37150100435617744
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80,0.752548656163114,1.118628359592215,0.28316473994645436
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85,0.75,1.133587786259542,0.28125
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88,0.7524932003626473,1.0942883046237535,0.28312300829600967
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99,0.7541436464088398,1.156537753222836,0.2843663197094106
100,0.9224842400186785,1.394349754844735,0.4254885865414194
1 obj_id hit_rate avg_age expected_age
2 1 0.7322834645669292 0.9000925069380203 1.062992125984252 1.3200740055504163 0.4050832605229851
3 2 0.7837837837837838 0.755834829443447 1.2364864864864864 1.1301615798922802 0.2856431446999023
4 3 0.7264957264957265 0.7523364485981309 1.0940170940170941 1.1158878504672898 0.283005065944624
5 4 0.728 0.9228803716608595 1.032 1.3440185830429734 0.42585409019844306
6 5 0.7571428571428571 0.7560538116591928 1.1642857142857144 1.105829596412556 0.2858086830621971
7 6 0.7538461538461538 0.9873340944769516 1.2538461538461538 1.4631796774653918 0.487414307058311
8 7 0.8555133079847909 0.8582677165354331 1.11787072243346 1.2802223251505327 0.3683117366234733
9 8 0.7155963302752294 0.7569316081330869 1.073394495412844 1.156192236598891 0.2864727296954705
10 9 0.9047619047619048 0.7446808510638298 1.3358395989974938 1.0555041628122108 0.2772747849705749
11 10 0.7322834645669292 0.7598173515981735 1.1496062992125984 1.1461187214611872 0.28866120389483124
12 11 0.7295081967213115 0.9009840098400984 1.0901639344262295 1.3766912669126692 0.40588609299377126
13 12 0.7605633802816901 0.9237854017959936 1.1126760563380282 1.388671425282063 0.4266897342856926
14 13 0.7154471544715447 0.7458100558659218 0.983739837398374 1.1517690875232776 0.27811631971536466
15 14 0.7480916030534351 0.8532110091743119 1.251908396946565 1.3109608884596813 0.3639845130881239
16 15 0.7801418439716312 0.7527573529411765 1.148936170212766 1.1865808823529411 0.2833218162035035
17 16 0.6764705882352942 0.9545394476014273 0.9901960784313726 1.4121844852649663 0.455572778513619
18 17 0.7053571428571429 0.970945720945721 0.9910714285714286 1.4805194805194806 0.4713677965114029
19 18 0.8978494623655914 0.9012307692307693 1.3091397849462365 1.361846153846154 0.40610844970414206
20 19 0.7156862745098039 0.7483870967741936 1.0784313725490196 1.1216589861751152 0.2800416233090531
21 20 0.7702702702702703 0.7492931196983977 1.114864864864865 1.1225259189443921 0.2807200896136787
22 21 0.8958904109589041 0.7442084942084942 1.3068493150684932 1.1447876447876448 0.2769231414260372
23 22 0.9230769230769231 0.896256345177665 1.4384615384615385 1.3480329949238579 0.40163771813561283
24 23 0.8608058608058609 0.8560641812175555 1.3626373626373627 1.315714959886739 0.3664229411818418
25 24 0.7777777777777778 0.7413461538461539 1.1176470588235294 1.0913461538461537 0.27479705991124265
26 25 0.9489414694894147 0.74860853432282 1.3424657534246576 1.1456400742115027 0.2802073688304804
27 26 0.75 0.9938509103400893 1.1171875 1.4793713500515286 0.49386981599191215
28 27 0.6915887850467289 0.9985219464195284 1.0841121495327102 1.4382531794620543 0.4985230387407218
29 28 0.9566596194503171 0.7454545454545455 1.3107822410147991 1.1330143540669857 0.2778512396694215
30 29 0.7304347826086957 0.7340425531914894 1.0347826086956522 1.1179883945841393 0.2694092349479402
31 30 0.7304347826086957 0.75 1.0956521739130434 1.1007326007326008 0.28125
32 31 0.8604651162790697 0.8550519357884797 1.306201550387597 1.2889518413597734 0.3655569064478132
33 32 0.7203389830508474 0.74 0.9830508474576272 1.128 0.2738
34 33 0.7317073170731707 0.9598136284216657 1.2926829268292683 1.4399534071054165 0.4606211006519817
35 34 0.7536231884057971 0.8619756427604871 1.0942028985507246 1.298150654036987 0.37150100435617744
36 35 0.8407079646017699 0.8566159520516367 1.0309734513274336 1.2706316274781004 0.36689544465466595
37 36 0.8582375478927203 0.8568097014925373 1.2528735632183907 1.2630597014925373 0.36706143228586546
38 37 0.9113636363636364 0.7484047402005469 1.3295454545454546 1.1330902461257977 0.2800548275773241
39 38 0.7295081967213115 0.7458715596330275 1.0573770491803278 1.110091743119266 0.27816219173470247
40 39 0.7559055118110236 0.7392959086584205 1.0551181102362204 1.076117982873454 0.2732792202795398
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42 41 0.7697841726618705 0.7542448614834674 1.1007194244604317 1.1438784629133154 0.28444265553710746
43 42 0.7288135593220338 0.7426120114394662 1.0677966101694916 1.0972354623450906 0.2757362997670849
44 43 0.7555555555555555 0.7557522123893805 1.0518518518518518 1.14070796460177 0.28558070326572166
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46 45 0.857707509881423 0.9362781954887218 1.2727272727272727 1.3855263157894737 0.4383084296738086
47 46 0.7697841726618705 0.7513562386980108 1.0359712230215827 1.1157323688969258 0.28226809871521114
48 47 0.75 0.9395829620388523 1.15 1.3671359828907503 0.44140807127685167
49 48 0.8560311284046692 0.9363944298080542 1.2684824902723735 1.4002634550244637 0.4384172640877755
50 49 0.859375 0.981863022144582 1.24609375 1.4851256229769305 0.48202749712744597
51 50 0.9830645161290322 0.9369250985545335 1.3608870967741935 1.3974094236906327 0.4389143201507112
52 51 0.7333333333333333 0.7619047619047619 1.0666666666666667 1.13668430335097 0.2902494331065759
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54 53 0.9490049751243781 0.7630662020905923 1.4900497512437811 1.1724738675958188 0.2911350143864803
55 54 0.7664233576642335 0.7465051258154707 1.1532846715328466 1.0987884436160298 0.2786349514343859
56 55 0.7 0.7506899724011039 1.03 1.1352345906163754 0.2817677173317851
57 56 0.773972602739726 0.7398615232443125 1.3013698630136987 1.1612265084075173 0.2736975367886972
58 57 0.7258064516129032 0.9896240163217721 1.0080645161290323 1.4917516758962401 0.48967784684041754
59 58 0.7714285714285715 0.7525581395348837 1.2 1.1590697674418604 0.28317187669010274
60 59 0.7222222222222222 0.7520891364902507 0.9722222222222222 1.1188486536675952 0.28281903461332547
61 60 0.75 0.9224642773483251 1.2121212121212122 1.3799484656828298 0.4254701714918839
62 61 0.9334442595673876 0.7553956834532374 1.4226289517470883 1.0845323741007193 0.2853113192898918
63 62 0.7327586206896551 0.7472324723247232 1.103448275862069 1.1439114391143912 0.27917818384825915
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65 64 0.7401574803149606 0.7466539196940727 1.1574803149606299 1.054493307839388 0.2787460378972614
66 65 0.75 0.925959165357864 1.140625 1.3874803679605117 0.4287001879551161
67 66 0.8571428571428571 0.7655172413793103 1.3492063492063493 1.1594827586206897 0.2930083234244946
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74 73 0.9031413612565445 0.7488372093023256 1.4162303664921465 1.0465116279069768 0.28037858301784746
75 74 0.8565891472868217 0.8597752808988764 1.197674418604651 1.2957303370786517 0.3696067668223709
76 75 0.7295081967213115 0.7467889908256881 1.1557377049180328 1.1055045871559632 0.2788468984092248
77 76 0.7388059701492538 0.7493112947658402 1.0671641791044777 1.0312213039485767 0.28073370823182997
78 77 0.7522123893805309 0.7685025817555938 0.9823008849557522 1.1686746987951808 0.2952981090825066
79 78 0.9175257731958762 0.7429378531073446 1.3278350515463917 1.128060263653484 0.27597832678987516
80 79 0.7898550724637681 0.7490774907749077 1.1594202898550725 1.080258302583026 0.28055854359281596
81 80 0.7419354838709677 0.752548656163114 1.0725806451612903 1.118628359592215 0.28316473994645436
82 81 0.7698412698412699 0.9480420539387475 1.1984126984126984 1.4360810604906293 0.4493918680181995
83 82 0.7647058823529411 0.8579335793357934 1.0 1.3044280442804428 0.36802501327596304
84 83 0.7479674796747967 0.7580935251798561 0.991869918699187 1.1573741007194245 0.28735289645981055
85 84 0.7651515151515151 0.7432306255835668 1.1818181818181819 1.1727357609710551 0.27619588140267004
86 85 0.8385650224215246 0.75 1.3183856502242153 1.133587786259542 0.28125
87 86 0.7698412698412699 0.9471317829457364 1.1666666666666667 1.4203100775193798 0.4485293071329848
88 87 0.7203389830508474 0.7553956834532374 0.9915254237288136 1.1267985611510791 0.2853113192898918
89 88 0.8981723237597912 0.7524932003626473 1.5221932114882506 1.0942883046237535 0.28312300829600967
90 89 0.7647058823529411 0.7562949640287769 1.1102941176470589 1.143884892086331 0.2859910363076445
91 90 0.7540983606557377 0.9234516353514266 1.1885245901639345 1.3825098585015079 0.4263814614166121
92 91 0.71900826446281 0.8603377453217709 0.9338842975206612 1.2765860337745323 0.3700905180126741
93 92 0.9186991869918699 0.90021624961384 1.4146341463414633 1.3710225517454433 0.4051946480344037
94 93 0.8987012987012987 0.7497630331753554 1.405194805194805 1.1601895734597156 0.28107230295815455
95 94 0.7401574803149606 0.7411652340019103 1.1732283464566928 1.0983763132760267 0.27466295204655317
96 95 0.7348484848484849 0.7532110091743119 1.0606060606060606 1.1394495412844037 0.2836634121706927
97 96 0.9923719578641482 0.7465051258154707 1.4139120958953868 1.1286113699906803 0.2786349514343859
98 97 0.7047619047619048 0.8575406032482599 1.0285714285714285 1.265429234338747 0.3676879431096947
99 98 0.8620689655172413 0.8571428571428571 1.2950191570881227 1.2792626728110599 0.36734693877551017
100 99 0.9002624671916011 0.7541436464088398 1.220472440944882 1.156537753222836 0.2843663197094106
101 100 0.7264957264957265 0.9224842400186785 1.1452991452991452 1.394349754844735 0.4254885865414194

View File

@@ -1,9 +1,9 @@
,hit_rate,avg_age
count,100.0,100.0
mean,0.7906927824364712,1.1699029289276106
std,0.07676518565586872,0.13699371435130125
min,0.6764705882352942,0.912
25%,0.731389183457052,1.0670398009950248
50%,0.7612340710932259,1.1492712347126823
75%,0.8567275747508305,1.280359763951712
max,0.9923719578641482,1.5221932114882506
,hit_rate,avg_age,expected_age
count,100.0,100.0,100.0
mean,0.8159040915293513,1.223051563144497,0.3364833567261876
std,0.08567749535403389,0.12824871868344825,0.07264297799612468
min,0.7340425531914894,1.0312213039485767,0.2694092349479402
25%,0.7487800405574492,1.1276996402877697,0.2803357794710057
50%,0.7566132860809319,1.1592762630312752,0.2862318830015575
75%,0.9001234426069753,1.3450221860131946,0.4051111074008398
max,0.9985219464195284,1.4917516758962401,0.4985230387407218
1 hit_rate avg_age expected_age
2 count 100.0 100.0 100.0
3 mean 0.7906927824364712 0.8159040915293513 1.1699029289276106 1.223051563144497 0.3364833567261876
4 std 0.07676518565586872 0.08567749535403389 0.13699371435130125 0.12824871868344825 0.07264297799612468
5 min 0.6764705882352942 0.7340425531914894 0.912 1.0312213039485767 0.2694092349479402
6 25% 0.731389183457052 0.7487800405574492 1.0670398009950248 1.1276996402877697 0.2803357794710057
7 50% 0.7612340710932259 0.7566132860809319 1.1492712347126823 1.1592762630312752 0.2862318830015575
8 75% 0.8567275747508305 0.9001234426069753 1.280359763951712 1.3450221860131946 0.4051111074008398
9 max 0.9923719578641482 0.9985219464195284 1.5221932114882506 1.4917516758962401 0.4985230387407218