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Re: Kernel exits

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128127] Re: Kernel exits
  • From: dgolber at aol.com
  • Date: Mon, 17 Sep 2012 00:24:28 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • Delivered-to: l-mathgroup@wolfram.com
  • Delivered-to: mathgroup-newout@smc.vnet.net
  • Delivered-to: mathgroup-newsend@smc.vnet.net
  • References: <k2s2re$dq5$1@smc.vnet.net>

I am already storing partial results, which lets me make progress on this problem.

In looking at MemoryInUse, I found the following interesting behavior:

Mathematica 4 running directly on Windows XP.

The notebook below fits a 2-parameter curve (a simple Bezier curve) to some data.

The module "error" finds the total sum-of-squares of distances from the data points to a curve.  The main cell (not a module) uses FindMinimum to vary the curve parameters to minimize the error.

The "error" module prints MemoryInUse  each time it is entered.  

The main cell is run twice (two completely distinct copies).  The first time it is run, we see MemoryInUse building up from about one MB to 25 MB, as (I assume) FindMinimum builds up its search context.

The second time it is called, MemoryInUse starts aleady at 25 MB!  In other words, even though the (first) use of FindMinimum is completely over, the memory it used is still shown in MemoryInUse.

What is going on?

Thank you
David Golber

===========

In[1]:=
dsq[p_, q_] := Module[{v}, v = p - q; Return[v.v]];
In[2]:=
data = {{-1.`, 0.07271879311326668`}, {-0.9795918367346939`, 
0.40795711960412273`}, {-0.9591836734693877`, 
0.7493968681691019`}, {-0.9387755102040817`, 
1.0969831944328101`}, {-0.9183673469387755`, 
1.4455797049857155`}, {-0.8979591836734694`, 
1.7933577858764531`}, {-0.8775510204081632`, 
2.1407781653548907`}, {-0.8571428571428571`, 
2.4892086871775314`}, {-0.8367346938775511`, 
2.835059096420477`}, {-0.8163265306122449`, 
3.1747813234745452`}, {-0.7959183673469388`, 
3.5099065199869566`}, {-0.7755102040816326`, 
3.838416824535938`}, {-0.7551020408163265`, 
4.160416099694797`}, {-0.7346938775510204`, 
4.476709556785695`}, {-0.7142857142857143`, 
4.784664350286133`}, {-0.6938775510204082`, 
5.087323728777496`}, {-0.673469387755102`, 
5.38696253472903`}, {-0.6530612244897959`, 
5.6798465046806585`}, {-0.6326530612244898`, 
5.964713365415807`}, {-0.6122448979591837`, 
6.238632239548857`}, {-0.5918367346938775`, 
6.501620953518743`}, {-0.5714285714285714`, 
6.75656172280596`}, {-0.5510204081632653`, 
7.002600506634537`}, {-0.5306122448979592`, 
7.239968897142224`}, {-0.5102040816326531`, 
7.467505798949419`}, {-0.4897959183673469`, 
7.688899842449843`}, {-0.46938775510204084`, 
7.895548159341792`}, {-0.4489795918367347`, 
8.097377347460679`}, {-0.42857142857142855`, 
8.2893341746341`}, {-0.40816326530612246`, 
8.476144299078989`}, {-0.3877551020408163`, 
8.652889973777224`}, {-0.3673469387755102`, 
8.817374903757845`}, {-0.3469387755102041`, 
8.976924242334949`}, {-0.32653061224489793`, 
9.119591134252524`}, {-0.30612244897959184`, 
9.248576791309134`}, {-0.2857142857142857`, 
9.369588023769005`}, {-0.2653061224489796`, 
9.482297547178607`}, {-0.24489795918367346`, 
9.589139190122037`}, {-0.22448979591836735`, 
9.689364983113595`}, {-0.20408163265306123`, 
9.781452292825708`}, {-0.1836734693877551`, 
9.860153881813591`}, {-0.16326530612244897`, 
9.923011791745626`}, {-0.14285714285714285`, 
9.976018300997982`}, {-0.12244897959183673`, 
10.02452888876957`}, {-0.10204081632653061`, 
10.070756998999077`}, {-0.08163265306122448`, 
10.114970754465642`}, {-0.061224489795918366`, 
10.15451548515944`}, {-0.04081632653061224`, 
10.18522338591307`}, {-0.02040816326530612`, 
10.202365464896314`}, {0.`, 
10.208468465393292`}, {0.02040816326530612`, 
10.202365464896314`}, {0.04081632653061224`, 
10.18522338591307`}, {0.061224489795918366`, 
10.15451548515944`}, {0.08163265306122448`, 
10.114970754465642`}, {0.10204081632653061`, 
10.070756998999077`}, {0.12244897959183673`, 
10.02452888876957`}, {0.14285714285714285`, 
9.976018300997982`}, {0.16326530612244897`, 
9.923011791745626`}, {0.1836734693877551`, 
9.860153881813591`}, {0.20408163265306123`, 
9.781452292825708`}, {0.22448979591836735`, 
9.689364983113595`}, {0.24489795918367346`, 
9.589139190122037`}, {0.2653061224489796`, 
9.482297547178607`}, {0.2857142857142857`, 
9.369588023769005`}, {0.30612244897959184`, 
9.248576791309134`}, {0.32653061224489793`, 
9.119591134252524`}, {0.3469387755102041`, 
8.976924242334949`}, {0.3673469387755102`, 
8.817374903757845`}, {0.3877551020408163`, 
8.652889973777224`}, {0.40816326530612246`, 
8.476144299078989`}, {0.42857142857142855`, 
8.2893341746341`}, {0.4489795918367347`, 
8.097377347460679`}, {0.46938775510204084`, 
7.895548159341792`}, {0.4897959183673469`, 
7.688899842449843`}, {0.5102040816326531`, 
7.467505798949419`}, {0.5306122448979592`, 
7.239968897142224`}, {0.5510204081632653`, 
7.002600506634537`}, {0.5714285714285714`, 
6.75656172280596`}, {0.5918367346938775`, 
6.501620953518743`}, {0.6122448979591837`, 
6.238632239548857`}, {0.6326530612244898`, 
5.964713365415807`}, {0.6530612244897959`, 
5.6798465046806585`}, {0.673469387755102`, 
5.38696253472903`}, {0.6938775510204082`, 
5.087323728777496`}, {0.7142857142857143`, 
4.784664350286133`}, {0.7346938775510204`, 
4.476709556785695`}, {0.7551020408163265`, 
4.160416099694797`}, {0.7755102040816326`, 
3.838416824535938`}, {0.7959183673469388`, 
3.5099065199869566`}, {0.8163265306122449`, 
3.1747813234745452`}, {0.8367346938775511`, 
2.835059096420477`}, {0.8571428571428571`, 
2.4892086871775314`}, {0.8775510204081632`, 
2.1407781653548907`}, {0.8979591836734694`, 
1.7933577858764531`}, {0.9183673469387755`, 
1.4455797049857155`}, {0.9387755102040817`, 
1.0969831944328101`}, {0.9591836734693877`, 
0.7493968681691019`}, {0.9795918367346939`, 
0.40795711960412273`}, {1.`, 0.07271879311326668`}};
In[4]:=
bez[n_, i_, t_] := Binomial[n, i]((1 - t)^(i))( t^(n - i));
In[5]:=
t =.
In[6]:=
b1[t_] = bez[2, 2, t];
In[7]:=
b2[t_] = bez[2, 1, t];
In[8]:=
b3[t_] = bez[2, 0, t];
In[9]:=
Remove[t, y, w]
In[10]:=
curve[t_, y_, 
      w_] = (b1[t]{-1, 0} + w b2[t]{0, y} + b3[t]{1, 0})/( 
b1[t] + w b2[t] + b3[t]);
In[13]:=
error[y_, w_] :=
    Module[
      {i, j, dist, least, sum, ret, t, numStarts = 50},
      If[Mod[count, 1] == 0, 
Print["count= ", count, "   memory in use = ", MemoryInUse[]]];
      count = count + 1;
      If[ValueQ[prev] == False || Length[prev] != Length[data],
Print["Building prev"];
prev = Table[Infinity, {Length[data]}];
For[i = 1, i <= Length[data], i++,
  least = Infinity;
  For[j = -numStarts, j <= numStarts - 1, j++,
    dist = dsq[data[[i]], curve[j/numStarts, y, w]];
    If[dist < least,
      least = dist;
      prev[[i]] = N[j/numStarts];
      ]; (* If this is a better values *)
    ]; (* Loop over  j *)
  ]; (* Loop over data *)
Print["prev built"];
];
      sum = 0;
      For[i = 1, i <= Length[data], i++,
ret = FindMinimum[dsq[data[[i]], curve[t, y, w]], {t, prev[[i]]}];
prev[[i]] = t /. ret[[2]];
sum = sum + ret[[1]];
];
      Return[sum];
      ];
In[14]:=
Print["Before call, memory usage = ", MemoryInUse[]];
count = 0;
ret = FindMinimum[error[y, w],
      {y, 20.0, 21.0}, {w, 1.0, 1.1}];
Print["After call, memory usage = ", MemoryInUse[]];

(****** Output begins here *)


"Before call, memory usage = 1225448
"count= 0   memory in use = 1239968
"Building prev"
"prev built"
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
"count= 1   memory in use = 1707496
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
"count= 2   memory in use = 1902664
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
General::"stop": "Further output of \!\(FindMinimum :: \"fmgz\"\) will be \
suppressed during this calculation."
"count= 3   memory in use = 2097696
"count= 4   memory in use = 2292456
"count= 5   memory in use = 2487088
"count= 6   memory in use = 2681648
"count= 7   memory in use = 2876024
"count= 8   memory in use = 3070600
"count= 9   memory in use = 3264168
"count= 10   memory in use = 3457968
"count= 11   memory in use = 3651016
"count= 12   memory in use = 3844712
"count= 13   memory in use = 4037728
"count= 14   memory in use = 4231552
"count= 15   memory in use = 4424208
"count= 16   memory in use = 4615720
"count= 17   memory in use = 4807096
"count= 18   memory in use = 4999240
"count= 19   memory in use = 5192504
"count= 20   memory in use = 5384072
"count= 21   memory in use = 5575584
"count= 22   memory in use = 5766952
"count= 23   memory in use = 5958464
"count= 24   memory in use = 6150096
"count= 25   memory in use = 6339736
"count= 26   memory in use = 6529808
"count= 27   memory in use = 6719904
"count= 28   memory in use = 6910560
"count= 29   memory in use = 7099912
"count= 30   memory in use = 7291272
"count= 31   memory in use = 7480168
"count= 32   memory in use = 7669520
"count= 33   memory in use = 7856832
"count= 34   memory in use = 8046496
"count= 35   memory in use = 8232784
"count= 36   memory in use = 8420992
"count= 37   memory in use = 8607528
"count= 38   memory in use = 8793488
"count= 39   memory in use = 8979896
"count= 40   memory in use = 9166768
"count= 41   memory in use = 9352192
"count= 42   memory in use = 9536912
"count= 43   memory in use = 9721120
"count= 44   memory in use = 9906440
"count= 45   memory in use = 10091080
"count= 46   memory in use = 10276824
"count= 47   memory in use = 10460224
"count= 48   memory in use = 10643088
"count= 49   memory in use = 10824816
"count= 50   memory in use = 11005528
"count= 51   memory in use = 11186312
"count= 52   memory in use = 11365960
"count= 53   memory in use = 11546696
"count= 54   memory in use = 11724952
"count= 55   memory in use = 11902280
"count= 56   memory in use = 12082472
"count= 57   memory in use = 12263656
"count= 58   memory in use = 12439112
"count= 59   memory in use = 12612496
"count= 60   memory in use = 12789336
"count= 61   memory in use = 12968496
"count= 62   memory in use = 13142584
"count= 63   memory in use = 13315872
"count= 64   memory in use = 13488904
"count= 65   memory in use = 13662816
"count= 66   memory in use = 13833824
>From In[14]:=
"count= 67   memory in use = 14002480
"count= 68   memory in use = 14171952
"count= 69   memory in use = 14344992
"count= 70   memory in use = 14515592
"count= 71   memory in use = 14684272
"count= 72   memory in use = 14848096
"count= 73   memory in use = 15010280
"count= 74   memory in use = 15174344
"count= 75   memory in use = 15338456
"count= 76   memory in use = 15501752
"count= 77   memory in use = 15663360
"count= 78   memory in use = 15827800
"count= 79   memory in use = 15986144
"count= 80   memory in use = 16147072
"count= 81   memory in use = 16304808
"count= 82   memory in use = 16466384
"count= 83   memory in use = 16620688
"count= 84   memory in use = 16779712
"count= 85   memory in use = 16932376
"count= 86   memory in use = 17081544
"count= 87   memory in use = 17233104
"count= 88   memory in use = 17378920
"count= 89   memory in use = 17520152
"count= 90   memory in use = 17666496
"count= 91   memory in use = 17812840
"count= 92   memory in use = 17956456
"count= 93   memory in use = 18104704
"count= 94   memory in use = 18248224
"count= 95   memory in use = 18387720
"count= 96   memory in use = 18529160
"count= 97   memory in use = 18670144
"count= 98   memory in use = 18800800
"count= 99   memory in use = 18938520
"count= 100   memory in use = 19075880
"count= 101   memory in use = 19213720
"count= 102   memory in use = 19348320
"count= 103   memory in use = 19485704
"count= 104   memory in use = 19616288
"count= 105   memory in use = 19755288
"count= 106   memory in use = 19882520
"count= 107   memory in use = 20012928
"count= 108   memory in use = 20144808
"count= 109   memory in use = 20259688
"count= 110   memory in use = 20382632
"count= 111   memory in use = 20498720
"count= 112   memory in use = 20613944
"count= 113   memory in use = 20727200
"count= 114   memory in use = 20845816
"count= 115   memory in use = 20951960
"count= 116   memory in use = 21060424
"count= 117   memory in use = 21165032
"count= 118   memory in use = 21271600
"count= 119   memory in use = 21361088
"count= 120   memory in use = 21465360
"count= 121   memory in use = 21559656
"count= 122   memory in use = 21666072
"count= 123   memory in use = 21771952
"count= 124   memory in use = 21862912
"count= 125   memory in use = 21950960
"count= 126   memory in use = 22045144
"count= 127   memory in use = 22131944
"count= 128   memory in use = 22233512
"count= 129   memory in use = 22316544
"count= 130   memory in use = 22411368
"count= 131   memory in use = 22501280
"count= 132   memory in use = 22592208
"count= 133   memory in use = 22670376
"count= 134   memory in use = 22739256
"count= 135   memory in use = 22819144
"count= 136   memory in use = 22888808
"count= 137   memory in use = 22950168
"count= 138   memory in use = 23022288
"count= 139   memory in use = 23085400
"count= 140   memory in use = 23133304
"count= 141   memory in use = 23178552
"count= 142   memory in use = 23224584
"count= 143   memory in use = 23284600
"count= 144   memory in use = 23348720
"count= 145   memory in use = 23410224
"count= 146   memory in use = 23470128
"count= 147   memory in use = 23521400
"count= 148   memory in use = 23564960
"count= 149   memory in use = 23611424
"count= 150   memory in use = 23657136
"count= 151   memory in use = 23711472
"count= 152   memory in use = 23758904
"count= 153   memory in use = 23813872
"count= 154   memory in use = 23863992
"count= 155   memory in use = 23920648
"count= 156   memory in use = 23963944
"count= 157   memory in use = 24001040
"count= 158   memory in use = 24047040
"count= 159   memory in use = 24082488
"count= 160   memory in use = 24126096
"count= 161   memory in use = 24154760
"count= 162   memory in use = 24190232
"count= 163   memory in use = 24217392
"count= 164   memory in use = 24260216
"count= 165   memory in use = 24288496
"count= 166   memory in use = 24322592
"count= 167   memory in use = 24353848
"count= 168   memory in use = 24382096
"count= 169   memory in use = 24410232
"count= 170   memory in use = 24438688
"count= 171   memory in use = 24443984
"count= 172   memory in use = 24468616
"count= 173   memory in use = 24474616
"count= 174   memory in use = 24496032
"count= 175   memory in use = 24520464
"count= 176   memory in use = 24541072
"count= 177   memory in use = 24542184
"count= 178   memory in use = 24555576
"count= 179   memory in use = 24574720
"count= 180   memory in use = 24595024
"count= 181   memory in use = 24619632
"count= 182   memory in use = 24637656
"count= 183   memory in use = 24663712
"count= 184   memory in use = 24678744
"count= 185   memory in use = 24691240
"count= 186   memory in use = 24697472
"count= 187   memory in use = 24697504
"count= 188   memory in use = 24716208
"count= 189   memory in use = 24729776
"count= 190   memory in use = 24727936
"count= 191   memory in use = 24753128
"count= 192   memory in use = 24755968
"count= 193   memory in use = 24768128
"count= 194   memory in use = 24782752
"count= 195   memory in use = 24773104
"count= 196   memory in use = 24784608
"count= 197   memory in use = 24795632
"count= 198   memory in use = 24808416
"count= 199   memory in use = 24803464
"count= 200   memory in use = 24816928
"count= 201   memory in use = 24810816
"count= 202   memory in use = 24820104
"count= 203   memory in use = 24827768
"count= 204   memory in use = 24841016
"count= 205   memory in use = 24849344
"count= 206   memory in use = 24857896
"count= 207   memory in use = 24862280
"count= 208   memory in use = 24855664
"count= 209   memory in use = 24862384
"count= 210   memory in use = 24864000
"count= 211   memory in use = 24885576
"count= 212   memory in use = 24871800
"count= 213   memory in use = 24880816
"count= 214   memory in use = 24882200
"count= 215   memory in use = 24892776
"count= 216   memory in use = 24902616
"count= 217   memory in use = 24915824
"count= 218   memory in use = 24916688
"count= 219   memory in use = 24934600
"count= 220   memory in use = 24936656
"count= 221   memory in use = 24939296
"count= 222   memory in use = 24940008
"count= 223   memory in use = 24938608
"count= 224   memory in use = 24944200
"count= 225   memory in use = 24956728
"count= 226   memory in use = 24962000
"count= 227   memory in use = 24974056
"count= 228   memory in use = 24976080
"count= 229   memory in use = 24984928
"count= 230   memory in use = 24985072
"count= 231   memory in use = 24980320
"count= 232   memory in use = 24984888
"count= 233   memory in use = 25004288
"count= 234   memory in use = 25004760
"count= 235   memory in use = 25008752
"count= 236   memory in use = 25011760
"After call, memory usage = 25034144



In[18]:=
Print["Before call, memory usage = ", MemoryInUse[]];
count = 0;
ret = FindMinimum[error[y, w],
      {y, 20.0, 21.0}, {w, 1.0, 1.1}];
Print["After call, memory usage = ", MemoryInUse[]];


(***** Output from second call begins here *)

"Before call, memory usage = 25037896
"count= 0   memory in use = 25044160
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
"count= 1   memory in use = 25050656
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
"count= 2   memory in use = 25057184
FindMinimum::"fmgz": "Encountered a vanishing gradient. The result returned \
may not be a minimum; it may be a maximum or a saddle point."
General::"stop": "Further output of \!\(FindMinimum :: \"fmgz\"\) will be \
suppressed during this calculation."
"count= 3   memory in use = 25058368
"count= 4   memory in use = 25050936
"count= 5   memory in use = 25065848
"count= 6   memory in use = 25063536
"count= 7   memory in use = 25054328
"count= 8   memory in use = 25051024
"count= 9   memory in use = 25044360
"count= 10   memory in use = 25047544
"count= 11   memory in use = 25048608
"count= 12   memory in use = 25043368
"count= 13   memory in use = 25056912
"count= 14   memory in use = 25066216
"count= 15   memory in use = 25050536
"count= 16   memory in use = 25032928
"count= 17   memory in use = 25030640
"count= 18   memory in use = 25017408
"count= 19   memory in use = 25010048
"count= 20   memory in use = 25004928
"count= 21   memory in use = 25019328
"count= 22   memory in use = 25017448
"count= 23   memory in use = 25019000
"count= 24   memory in use = 25039024
"count= 25   memory in use = 25050520
"count= 26   memory in use = 25053568
"count= 27   memory in use = 25048512
"count= 28   memory in use = 25056008
"count= 29   memory in use = 25057920
"count= 30   memory in use = 25065904
"count= 31   memory in use = 25062808
"count= 32   memory in use = 25055656
"count= 33   memory in use = 25060008
"count= 34   memory in use = 25070984
"count= 35   memory in use = 25067688
"count= 36   memory in use = 25077576
"count= 37   memory in use = 25074736
"count= 38   memory in use = 25069536
"count= 39   memory in use = 25073848
"count= 40   memory in use = 25069112
"count= 41   memory in use = 25066920
"count= 42   memory in use = 25073144
"count= 43   memory in use = 25072560
"count= 44   memory in use = 25073384
"count= 45   memory in use = 25078976
"count= 46   memory in use = 25056224
"count= 47   memory in use = 25059704
"count= 48   memory in use = 25064056
"count= 49   memory in use = 25063600
"count= 50   memory in use = 25075904
"count= 51   memory in use = 25073992
"count= 52   memory in use = 25073464
"count= 53   memory in use = 25052664
"count= 54   memory in use = 25042008
"count= 55   memory in use = 25041792
"count= 56   memory in use = 25037880
"count= 57   memory in use = 25031200
"count= 58   memory in use = 25033752
"count= 59   memory in use = 25023304
"count= 60   memory in use = 25027464
"count= 61   memory in use = 25026664
"count= 62   memory in use = 25032600
"count= 63   memory in use = 25033976
"count= 64   memory in use = 25016712
"count= 65   memory in use = 25029440
"count= 66   memory in use = 25029736
"count= 67   memory in use = 25031008
"count= 68   memory in use = 25025976
"count= 69   memory in use = 25034296
"count= 70   memory in use = 25046608
"count= 71   memory in use = 25045792
"count= 72   memory in use = 25041568
"count= 73   memory in use = 25030928
"count= 74   memory in use = 25032248
"count= 75   memory in use = 25041480
"count= 76   memory in use = 25037248
"count= 77   memory in use = 25043984
"count= 78   memory in use = 25047128
"count= 79   memory in use = 25048608
"count= 80   memory in use = 25030704
"count= 81   memory in use = 25033504
"count= 82   memory in use = 25024664
"count= 83   memory in use = 25025920
"count= 84   memory in use = 25026976
"count= 85   memory in use = 25027304
"count= 86   memory in use = 25040200
"count= 87   memory in use = 25029584
"count= 88   memory in use = 25018320
"count= 89   memory in use = 25035344
"count= 90   memory in use = 25039568
"count= 91   memory in use = 25049168
"count= 92   memory in use = 25060656
"count= 93   memory in use = 25075712
"count= 94   memory in use = 25084008
"count= 95   memory in use = 25092688
"count= 96   memory in use = 25092536
"count= 97   memory in use = 25093320
"count= 98   memory in use = 25067496
"count= 99   memory in use = 25063536
"count= 100   memory in use = 25066968
"count= 101   memory in use = 25078416
"count= 102   memory in use = 25076768
"count= 103   memory in use = 25076208
"count= 104   memory in use = 25092176
"count= 105   memory in use = 25082856
"count= 106   memory in use = 25089128
"count= 107   memory in use = 25081304
"count= 108   memory in use = 25071728
"count= 109   memory in use = 25085208
"count= 110   memory in use = 25097040
"count= 111   memory in use = 25103288
"count= 112   memory in use = 25086176
"count= 113   memory in use = 25075328
"count= 114   memory in use = 25073144
"count= 115   memory in use = 25047304
"count= 116   memory in use = 25050168
"count= 117   memory in use = 25052808
"count= 118   memory in use = 25051560
"count= 119   memory in use = 25048080
"count= 120   memory in use = 25055200
"count= 121   memory in use = 25048664
"count= 122   memory in use = 25036280
"count= 123   memory in use = 25031720
"count= 124   memory in use = 25028600
"count= 125   memory in use = 25039160
"count= 126   memory in use = 25026592
"count= 127   memory in use = 25024800
"count= 128   memory in use = 25031504
"count= 129   memory in use = 25037600
"count= 130   memory in use = 25043320
"count= 131   memory in use = 25050320
"count= 132   memory in use = 25042000
"count= 133   memory in use = 25046320
"count= 134   memory in use = 25054464
"count= 135   memory in use = 25056856
"count= 136   memory in use = 25047152
"count= 137   memory in use = 25060896
"count= 138   memory in use = 25067336
"count= 139   memory in use = 25044704
"count= 140   memory in use = 25031880
"count= 141   memory in use = 25038056
"count= 142   memory in use = 25043976
"count= 143   memory in use = 25067912
"count= 144   memory in use = 25061360
"count= 145   memory in use = 25062000
"count= 146   memory in use = 25067384
"count= 147   memory in use = 25075064
"count= 148   memory in use = 25081848
"count= 149   memory in use = 25060680
"count= 150   memory in use = 25058984
"count= 151   memory in use = 25040936
"count= 152   memory in use = 25042968
"count= 153   memory in use = 25046368
"count= 154   memory in use = 25055960
"count= 155   memory in use = 25049344
"count= 156   memory in use = 25049592
"count= 157   memory in use = 25045136
"count= 158   memory in use = 25040496
"count= 159   memory in use = 25045336
"count= 160   memory in use = 25043560
"count= 161   memory in use = 25043480
"count= 162   memory in use = 25055640
"count= 163   memory in use = 25050600
"count= 164   memory in use = 25029248
"count= 165   memory in use = 25009528
"count= 166   memory in use = 25016352
"count= 167   memory in use = 25025920
"count= 168   memory in use = 25027984
"count= 169   memory in use = 25034280
"count= 170   memory in use = 25036600
"count= 171   memory in use = 25046104
"count= 172   memory in use = 25046480
"count= 173   memory in use = 25048080
"count= 174   memory in use = 25050568
"count= 175   memory in use = 25055856
"count= 176   memory in use = 25068248
"count= 177   memory in use = 25075888
"count= 178   memory in use = 25062896
"count= 179   memory in use = 25039776
"count= 180   memory in use = 25029472
"count= 181   memory in use = 25034096
"count= 182   memory in use = 25047336
"count= 183   memory in use = 25052864
"count= 184   memory in use = 25058400
"count= 185   memory in use = 25069256
"count= 186   memory in use = 25060648
"count= 187   memory in use = 25054952
"count= 188   memory in use = 25048080
"count= 189   memory in use = 25045736
"count= 190   memory in use = 25032736
"count= 191   memory in use = 25044576
"count= 192   memory in use = 25039464
"count= 193   memory in use = 25030664
"count= 194   memory in use = 25030888
"count= 195   memory in use = 25026888
"count= 196   memory in use = 25020752
"count= 197   memory in use = 25020600
"count= 198   memory in use = 25030816
"count= 199   memory in use = 25016744
"count= 200   memory in use = 25017848
"count= 201   memory in use = 25013800
"count= 202   memory in use = 25019936
"count= 203   memory in use = 25025552
"count= 204   memory in use = 25020768
"count= 205   memory in use = 25016584
"count= 206   memory in use = 25005000
"count= 207   memory in use = 25016072
"count= 208   memory in use = 25012496
"count= 209   memory in use = 25026672
"count= 210   memory in use = 25028304
"count= 211   memory in use = 25037064
"count= 212   memory in use = 25030968
"count= 213   memory in use = 25033040
"count= 214   memory in use = 25021880
"count= 215   memory in use = 25009872
"count= 216   memory in use = 25010816
"count= 217   memory in use = 25001544
"count= 218   memory in use = 24984568
"count= 219   memory in use = 24976480
"count= 220   memory in use = 24986824
"count= 221   memory in use = 24981808
"count= 222   memory in use = 25002424
"count= 223   memory in use = 25004072
"count= 224   memory in use = 25001352
"count= 225   memory in use = 24995400
"count= 226   memory in use = 24991536
"count= 227   memory in use = 24977448
"count= 228   memory in use = 24987904
"count= 229   memory in use = 24987968
"count= 230   memory in use = 24993056
"count= 231   memory in use = 24991776
"count= 232   memory in use = 25001448
"count= 233   memory in use = 25015184
"count= 234   memory in use = 25022776
"count= 235   memory in use = 25032592
"After call, memory usage = 25040120




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