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Scheduler-test: investigate extended loads with different patterns

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The behaviour seems consistent and the schedule breaks at the expected point.
At first sight, concurrency seems slightly to low; detailed investigation
however shows that this is due to the structure of the load graph,
and in fact the run time comes close to optimal values.
This commit is contained in:
Fischlurch 2024-04-17 23:33:24 +02:00
parent c934e7f079
commit 177e241060
8 changed files with 1652 additions and 20 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

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{ /*2*/ rank=same N3 N4 N5 }
{ /*3*/ rank=same N6 N7 N8 N9 }
{ /*4*/ rank=same N10 N11 N12 N13 }
{ /*5*/ rank=same N14 N15 N16 N17 }
{ /*6*/ rank=same N18 N19 N20 N21 }
{ /*7*/ rank=same N22 N23 N24 N25 }
{ /*8*/ rank=same N26 N27 N28 N29 }
{ /*9*/ rank=same N30 N31 N32 N33 }
{ /*10*/ rank=same N34 N35 N36 N37 }
{ /*11*/ rank=same N38 N39 N40 N41 }
{ /*12*/ rank=same N42 N43 N44 N45 }
{ /*13*/ rank=same N46 N47 N48 N49 }
{ /*14*/ rank=same N50 N51 N52 N53 }
{ /*15*/ rank=same N54 N55 N56 N57 }
{ /*16*/ rank=same N58 N59 N60 N61 }
{ /*17*/ rank=same N62 N63 N64 N65 }
{ /*18*/ rank=same N66 N67 N68 N69 }
{ /*19*/ rank=same N70 N71 N72 N73 }
{ /*20*/ rank=same N74 N75 N76 N77 }
{ /*21*/ rank=same N78 N79 N80 N81 }
{ /*22*/ rank=same N82 N83 N84 N85 }
{ /*23*/ rank=same N86 N87 N88 N89 }
{ /*24*/ rank=same N90 N91 N92 N93 }
{ /*25*/ rank=same N94 N95 N96 N97 }
{ /*26*/ rank=same N98 N99 N100 N101 }
{ /*27*/ rank=same N102 N103 N104 N105 }
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{ /*39*/ rank=same N150 N151 N152 N153 }
{ /*40*/ rank=same N154 N155 N156 N157 }
{ /*41*/ rank=same N158 N159 N160 N161 }
{ /*42*/ rank=same N162 N163 N164 N165 }
{ /*43*/ rank=same N166 N167 N168 N169 }
{ /*44*/ rank=same N170 N171 N172 N173 }
{ /*45*/ rank=same N174 N175 N176 N177 }
{ /*46*/ rank=same N178 N179 N180 N181 }
{ /*47*/ rank=same N182 N183 N184 N185 }
{ /*48*/ rank=same N186 N187 N188 N189 }
{ /*49*/ rank=same N190 N191 N192 N193 }
{ /*50*/ rank=same N194 N195 N196 N197 }
{ /*51*/ rank=same N198 N199 N200 N201 }
{ /*52*/ rank=same N202 N203 N204 N205 }
{ /*53*/ rank=same N206 N207 N208 N209 }
{ /*54*/ rank=same N210 N211 N212 N213 }
{ /*55*/ rank=same N214 N215 N216 N217 }
{ /*56*/ rank=same N218 N219 N220 N221 }
{ /*57*/ rank=same N222 N223 N224 N225 }
{ /*58*/ rank=same N226 N227 N228 N229 }
{ /*59*/ rank=same N230 N231 N232 N233 }
{ /*60*/ rank=same N234 N235 N236 N237 }
{ /*61*/ rank=same N238 N239 N240 N241 }
{ /*62*/ rank=same N242 N243 N244 N245 }
{ /*63*/ rank=same N246 N247 N248 N249 }
{ /*64*/ rank=same N250 N251 N252 N253 }
{ /*65*/ rank=same N254 N255 }
// Topology
N0 -> N2
N1 -> N4
N2 -> N5
N3 -> N7
N4 -> N8
N5 -> N9
N6 -> N11
N7 -> N12
N8 -> N13
N10 -> N15
N11 -> N16
N12 -> N17
N14 -> N19
N15 -> N20
N16 -> N21
N18 -> N23
N19 -> N24
N20 -> N25
N22 -> N27
N23 -> N28
N24 -> N29
N26 -> N31
N27 -> N32
N28 -> N33
N30 -> N35
N31 -> N36
N32 -> N37
N34 -> N39
N35 -> N40
N36 -> N41
N38 -> N43
N39 -> N44
N40 -> N45
N42 -> N47
N43 -> N48
N44 -> N49
N46 -> N51
N47 -> N52
N48 -> N53
N50 -> N55
N51 -> N56
N52 -> N57
N54 -> N59
N55 -> N60
N56 -> N61
N58 -> N63
N59 -> N64
N60 -> N65
N62 -> N67
N63 -> N68
N64 -> N69
N66 -> N71
N67 -> N72
N68 -> N73
N70 -> N75
N71 -> N76
N72 -> N77
N74 -> N79
N75 -> N80
N76 -> N81
N78 -> N83
N79 -> N84
N80 -> N85
N82 -> N87
N83 -> N88
N84 -> N89
N86 -> N91
N87 -> N92
N88 -> N93
N90 -> N95
N91 -> N96
N92 -> N97
N94 -> N99
N95 -> N100
N96 -> N101
N98 -> N103
N99 -> N104
N100 -> N105
N102 -> N107
N103 -> N108
N104 -> N109
N106 -> N111
N107 -> N112
N108 -> N113
N110 -> N115
N111 -> N116
N112 -> N117
N114 -> N119
N115 -> N120
N116 -> N121
N118 -> N123
N119 -> N124
N120 -> N125
N122 -> N127
N123 -> N128
N124 -> N129
N126 -> N131
N127 -> N132
N128 -> N133
N130 -> N135
N131 -> N136
N132 -> N137
N134 -> N139
N135 -> N140
N136 -> N141
N138 -> N143
N139 -> N144
N140 -> N145
N142 -> N147
N143 -> N148
N144 -> N149
N146 -> N151
N147 -> N152
N148 -> N153
N150 -> N155
N151 -> N156
N152 -> N157
N154 -> N159
N155 -> N160
N156 -> N161
N158 -> N163
N159 -> N164
N160 -> N165
N162 -> N167
N163 -> N168
N164 -> N169
N166 -> N171
N167 -> N172
N168 -> N173
N170 -> N175
N171 -> N176
N172 -> N177
N174 -> N179
N175 -> N180
N176 -> N181
N178 -> N183
N179 -> N184
N180 -> N185
N182 -> N187
N183 -> N188
N184 -> N189
N186 -> N191
N187 -> N192
N188 -> N193
N190 -> N195
N191 -> N196
N192 -> N197
N194 -> N199
N195 -> N200
N196 -> N201
N198 -> N203
N199 -> N204
N200 -> N205
N202 -> N207
N203 -> N208
N204 -> N209
N206 -> N211
N207 -> N212
N208 -> N213
N210 -> N215
N211 -> N216
N212 -> N217
N214 -> N219
N215 -> N220
N216 -> N221
N218 -> N223
N219 -> N224
N220 -> N225
N222 -> N227
N223 -> N228
N224 -> N229
N226 -> N231
N227 -> N232
N228 -> N233
N230 -> N235
N231 -> N236
N232 -> N237
N234 -> N239
N235 -> N240
N236 -> N241
N238 -> N243
N239 -> N244
N240 -> N245
N242 -> N247
N243 -> N248
N244 -> N249
N246 -> N251
N247 -> N252
N248 -> N253
N250 -> N255
N251 -> N255
N252 -> N255
}

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<title>N3</title>
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<text text-anchor="middle" x="220.7696" y="-2680.4177" font-family="Times,serif" font-size="16.00" fill="#000000">3: 3C</text>
</g>
<!-- N7 -->
<g id="node8" class="node">
<title>N7</title>
<ellipse fill="none" stroke="#000000" cx="220.7696" cy="-2574.6786" rx="35.2113" ry="18.2703"/>
<text text-anchor="middle" x="220.7696" y="-2570.8786" font-family="Times,serif" font-size="16.00" fill="#000000">7: 96</text>
</g>
<!-- N3&#45;&gt;N7 -->
<g id="edge4" class="edge">
<title>N3&#45;&gt;N7</title>
<path fill="none" stroke="#000000" d="M220.7696,-2647.4381C220.7696,-2633.0196 220.7696,-2616.7299 220.7696,-2603.2246"/>
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<!-- N8 -->
<g id="node9" class="node">
<title>N8</title>
<ellipse fill="none" stroke="#000000" cx="130.7696" cy="-2574.6786" rx="35.2113" ry="18.2703"/>
<text text-anchor="middle" x="130.7696" y="-2570.8786" font-family="Times,serif" font-size="16.00" fill="#000000">8: 0F</text>
</g>
<!-- N4&#45;&gt;N8 -->
<g id="edge5" class="edge">
<title>N4&#45;&gt;N8</title>
<path fill="none" stroke="#000000" d="M130.7696,-2665.6359C130.7696,-2648.6404 130.7696,-2623.2299 130.7696,-2603.5833"/>
<polygon fill="#000000" stroke="#000000" points="134.2697,-2603.3516 130.7696,-2593.3516 127.2697,-2603.3516 134.2697,-2603.3516"/>
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<!-- N9 -->
<g id="node10" class="node">
<title>N9</title>
<path fill="none" stroke="#000000" d="M55.7696,-2592.6786C55.7696,-2592.6786 25.7696,-2592.6786 25.7696,-2592.6786 19.7696,-2592.6786 13.7696,-2586.6786 13.7696,-2580.6786 13.7696,-2580.6786 13.7696,-2568.6786 13.7696,-2568.6786 13.7696,-2562.6786 19.7696,-2556.6786 25.7696,-2556.6786 25.7696,-2556.6786 55.7696,-2556.6786 55.7696,-2556.6786 61.7696,-2556.6786 67.7696,-2562.6786 67.7696,-2568.6786 67.7696,-2568.6786 67.7696,-2580.6786 67.7696,-2580.6786 67.7696,-2586.6786 61.7696,-2592.6786 55.7696,-2592.6786"/>
<text text-anchor="middle" x="40.7696" y="-2570.8786" font-family="Times,serif" font-size="16.00" fill="#000000">9: 48</text>
</g>
<!-- N5&#45;&gt;N9 -->
<g id="edge6" class="edge">
<title>N5&#45;&gt;N9</title>
<path fill="none" stroke="#000000" d="M40.7696,-2665.6359C40.7696,-2648.5374 40.7696,-2622.9216 40.7696,-2603.2268"/>
<polygon fill="#000000" stroke="#000000" points="44.2697,-2602.986 40.7696,-2592.986 37.2697,-2602.9861 44.2697,-2602.986"/>
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<!-- N6 -->
<g id="node7" class="node">
<title>N6</title>
<ellipse fill="none" stroke="#000000" cx="321.7696" cy="-2574.6786" rx="36.5405" ry="36.5405"/>
<text text-anchor="middle" x="321.7696" y="-2570.8786" font-family="Times,serif" font-size="16.00" fill="#000000">6: 3C</text>
</g>
<!-- N11 -->
<g id="node12" class="node">
<title>N11</title>
<ellipse fill="none" stroke="#000000" cx="321.7696" cy="-2459.4827" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="321.7696" y="-2455.6827" font-family="Times,serif" font-size="16.00" fill="#000000">11: 96</text>
</g>
<!-- N6&#45;&gt;N11 -->
<g id="edge7" class="edge">
<title>N6&#45;&gt;N11</title>
<path fill="none" stroke="#000000" d="M321.7696,-2537.5958C321.7696,-2521.6121 321.7696,-2503.2039 321.7696,-2488.2735"/>
<polygon fill="#000000" stroke="#000000" points="325.2697,-2488.1009 321.7696,-2478.1009 318.2697,-2488.1009 325.2697,-2488.1009"/>
</g>
<!-- N12 -->
<g id="node13" class="node">
<title>N12</title>
<ellipse fill="none" stroke="#000000" cx="220.7696" cy="-2459.4827" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="220.7696" y="-2455.6827" font-family="Times,serif" font-size="16.00" fill="#000000">12: 0F</text>
</g>
<!-- N7&#45;&gt;N12 -->
<g id="edge8" class="edge">
<title>N7&#45;&gt;N12</title>
<path fill="none" stroke="#000000" d="M220.7696,-2556.1704C220.7696,-2537.7806 220.7696,-2509.3247 220.7696,-2488.0374"/>
<polygon fill="#000000" stroke="#000000" points="224.2697,-2487.9449 220.7696,-2477.945 217.2697,-2487.945 224.2697,-2487.9449"/>
</g>
<!-- N13 -->
<g id="node14" class="node">
<title>N13</title>
<path fill="none" stroke="#000000" d="M147.7696,-2477.4827C147.7696,-2477.4827 113.7696,-2477.4827 113.7696,-2477.4827 107.7696,-2477.4827 101.7696,-2471.4827 101.7696,-2465.4827 101.7696,-2465.4827 101.7696,-2453.4827 101.7696,-2453.4827 101.7696,-2447.4827 107.7696,-2441.4827 113.7696,-2441.4827 113.7696,-2441.4827 147.7696,-2441.4827 147.7696,-2441.4827 153.7696,-2441.4827 159.7696,-2447.4827 159.7696,-2453.4827 159.7696,-2453.4827 159.7696,-2465.4827 159.7696,-2465.4827 159.7696,-2471.4827 153.7696,-2477.4827 147.7696,-2477.4827"/>
<text text-anchor="middle" x="130.7696" y="-2455.6827" font-family="Times,serif" font-size="16.00" fill="#000000">13: 48</text>
</g>
<!-- N8&#45;&gt;N13 -->
<g id="edge9" class="edge">
<title>N8&#45;&gt;N13</title>
<path fill="none" stroke="#000000" d="M130.7696,-2556.1704C130.7696,-2537.6717 130.7696,-2508.9876 130.7696,-2487.6603"/>
<polygon fill="#000000" stroke="#000000" points="134.2697,-2487.5651 130.7696,-2477.5652 127.2697,-2487.5652 134.2697,-2487.5651"/>
</g>
<!-- N10 -->
<g id="node11" class="node">
<title>N10</title>
<ellipse fill="none" stroke="#000000" cx="422.7696" cy="-2459.4827" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="422.7696" y="-2455.6827" font-family="Times,serif" font-size="16.00" fill="#000000">10: 3C</text>
</g>
<!-- N15 -->
<g id="node16" class="node">
<title>N15</title>
<ellipse fill="none" stroke="#000000" cx="422.7696" cy="-2338.6299" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="422.7696" y="-2334.8299" font-family="Times,serif" font-size="16.00" fill="#000000">15: 96</text>
</g>
<!-- N10&#45;&gt;N15 -->
<g id="edge10" class="edge">
<title>N10&#45;&gt;N15</title>
<path fill="none" stroke="#000000" d="M422.7696,-2416.8745C422.7696,-2400.4691 422.7696,-2382.1394 422.7696,-2367.3471"/>
<polygon fill="#000000" stroke="#000000" points="426.2697,-2367.2792 422.7696,-2357.2792 419.2697,-2367.2793 426.2697,-2367.2792"/>
</g>
<!-- N16 -->
<g id="node17" class="node">
<title>N16</title>
<ellipse fill="none" stroke="#000000" cx="321.7696" cy="-2338.6299" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="321.7696" y="-2334.8299" font-family="Times,serif" font-size="16.00" fill="#000000">16: 0F</text>
</g>
<!-- N11&#45;&gt;N16 -->
<g id="edge11" class="edge">
<title>N11&#45;&gt;N16</title>
<path fill="none" stroke="#000000" d="M321.7696,-2440.8643C321.7696,-2421.2016 321.7696,-2389.9546 321.7696,-2367.1764"/>
<polygon fill="#000000" stroke="#000000" points="325.2697,-2367.0711 321.7696,-2357.0711 318.2697,-2367.0711 325.2697,-2367.0711"/>
</g>
<!-- N17 -->
<g id="node18" class="node">
<title>N17</title>
<path fill="none" stroke="#000000" d="M237.7696,-2356.6299C237.7696,-2356.6299 203.7696,-2356.6299 203.7696,-2356.6299 197.7696,-2356.6299 191.7696,-2350.6299 191.7696,-2344.6299 191.7696,-2344.6299 191.7696,-2332.6299 191.7696,-2332.6299 191.7696,-2326.6299 197.7696,-2320.6299 203.7696,-2320.6299 203.7696,-2320.6299 237.7696,-2320.6299 237.7696,-2320.6299 243.7696,-2320.6299 249.7696,-2326.6299 249.7696,-2332.6299 249.7696,-2332.6299 249.7696,-2344.6299 249.7696,-2344.6299 249.7696,-2350.6299 243.7696,-2356.6299 237.7696,-2356.6299"/>
<text text-anchor="middle" x="220.7696" y="-2334.8299" font-family="Times,serif" font-size="16.00" fill="#000000">17: 48</text>
</g>
<!-- N12&#45;&gt;N17 -->
<g id="edge12" class="edge">
<title>N12&#45;&gt;N17</title>
<path fill="none" stroke="#000000" d="M220.7696,-2440.8643C220.7696,-2421.0873 220.7696,-2389.5909 220.7696,-2366.78"/>
<polygon fill="#000000" stroke="#000000" points="224.2697,-2366.6768 220.7696,-2356.6768 217.2697,-2366.6769 224.2697,-2366.6768"/>
</g>
<!-- N14 -->
<g id="node15" class="node">
<title>N14</title>
<ellipse fill="none" stroke="#000000" cx="523.7696" cy="-2338.6299" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="523.7696" y="-2334.8299" font-family="Times,serif" font-size="16.00" fill="#000000">14: 3C</text>
</g>
<!-- N19 -->
<g id="node20" class="node">
<title>N19</title>
<ellipse fill="none" stroke="#000000" cx="523.7696" cy="-2217.7771" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="523.7696" y="-2213.9771" font-family="Times,serif" font-size="16.00" fill="#000000">19: 96</text>
</g>
<!-- N14&#45;&gt;N19 -->
<g id="edge13" class="edge">
<title>N14&#45;&gt;N19</title>
<path fill="none" stroke="#000000" d="M523.7696,-2296.0217C523.7696,-2279.6163 523.7696,-2261.2866 523.7696,-2246.4943"/>
<polygon fill="#000000" stroke="#000000" points="527.2697,-2246.4264 523.7696,-2236.4264 520.2697,-2246.4265 527.2697,-2246.4264"/>
</g>
<!-- N20 -->
<g id="node21" class="node">
<title>N20</title>
<ellipse fill="none" stroke="#000000" cx="422.7696" cy="-2217.7771" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="422.7696" y="-2213.9771" font-family="Times,serif" font-size="16.00" fill="#000000">20: 0F</text>
</g>
<!-- N15&#45;&gt;N20 -->
<g id="edge14" class="edge">
<title>N15&#45;&gt;N20</title>
<path fill="none" stroke="#000000" d="M422.7696,-2320.0115C422.7696,-2300.3488 422.7696,-2269.1018 422.7696,-2246.3236"/>
<polygon fill="#000000" stroke="#000000" points="426.2697,-2246.2183 422.7696,-2236.2183 419.2697,-2246.2183 426.2697,-2246.2183"/>
</g>
<!-- N21 -->
<g id="node22" class="node">
<title>N21</title>
<path fill="none" stroke="#000000" d="M338.7696,-2235.7771C338.7696,-2235.7771 304.7696,-2235.7771 304.7696,-2235.7771 298.7696,-2235.7771 292.7696,-2229.7771 292.7696,-2223.7771 292.7696,-2223.7771 292.7696,-2211.7771 292.7696,-2211.7771 292.7696,-2205.7771 298.7696,-2199.7771 304.7696,-2199.7771 304.7696,-2199.7771 338.7696,-2199.7771 338.7696,-2199.7771 344.7696,-2199.7771 350.7696,-2205.7771 350.7696,-2211.7771 350.7696,-2211.7771 350.7696,-2223.7771 350.7696,-2223.7771 350.7696,-2229.7771 344.7696,-2235.7771 338.7696,-2235.7771"/>
<text text-anchor="middle" x="321.7696" y="-2213.9771" font-family="Times,serif" font-size="16.00" fill="#000000">21: 48</text>
</g>
<!-- N16&#45;&gt;N21 -->
<g id="edge15" class="edge">
<title>N16&#45;&gt;N21</title>
<path fill="none" stroke="#000000" d="M321.7696,-2320.0115C321.7696,-2300.2345 321.7696,-2268.7381 321.7696,-2245.9272"/>
<polygon fill="#000000" stroke="#000000" points="325.2697,-2245.824 321.7696,-2235.824 318.2697,-2245.8241 325.2697,-2245.824"/>
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<!-- N18 -->
<g id="node19" class="node">
<title>N18</title>
<ellipse fill="none" stroke="#000000" cx="624.7696" cy="-2217.7771" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="624.7696" y="-2213.9771" font-family="Times,serif" font-size="16.00" fill="#000000">18: 3C</text>
</g>
<!-- N23 -->
<g id="node24" class="node">
<title>N23</title>
<ellipse fill="none" stroke="#000000" cx="624.7696" cy="-2096.9242" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="624.7696" y="-2093.1242" font-family="Times,serif" font-size="16.00" fill="#000000">23: 96</text>
</g>
<!-- N18&#45;&gt;N23 -->
<g id="edge16" class="edge">
<title>N18&#45;&gt;N23</title>
<path fill="none" stroke="#000000" d="M624.7696,-2175.1689C624.7696,-2158.7635 624.7696,-2140.4338 624.7696,-2125.6415"/>
<polygon fill="#000000" stroke="#000000" points="628.2697,-2125.5736 624.7696,-2115.5736 621.2697,-2125.5736 628.2697,-2125.5736"/>
</g>
<!-- N24 -->
<g id="node25" class="node">
<title>N24</title>
<ellipse fill="none" stroke="#000000" cx="523.7696" cy="-2096.9242" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="523.7696" y="-2093.1242" font-family="Times,serif" font-size="16.00" fill="#000000">24: 0F</text>
</g>
<!-- N19&#45;&gt;N24 -->
<g id="edge17" class="edge">
<title>N19&#45;&gt;N24</title>
<path fill="none" stroke="#000000" d="M523.7696,-2199.1587C523.7696,-2179.496 523.7696,-2148.249 523.7696,-2125.4708"/>
<polygon fill="#000000" stroke="#000000" points="527.2697,-2125.3654 523.7696,-2115.3655 520.2697,-2125.3655 527.2697,-2125.3654"/>
</g>
<!-- N25 -->
<g id="node26" class="node">
<title>N25</title>
<path fill="none" stroke="#000000" d="M439.7696,-2114.9242C439.7696,-2114.9242 405.7696,-2114.9242 405.7696,-2114.9242 399.7696,-2114.9242 393.7696,-2108.9242 393.7696,-2102.9242 393.7696,-2102.9242 393.7696,-2090.9242 393.7696,-2090.9242 393.7696,-2084.9242 399.7696,-2078.9242 405.7696,-2078.9242 405.7696,-2078.9242 439.7696,-2078.9242 439.7696,-2078.9242 445.7696,-2078.9242 451.7696,-2084.9242 451.7696,-2090.9242 451.7696,-2090.9242 451.7696,-2102.9242 451.7696,-2102.9242 451.7696,-2108.9242 445.7696,-2114.9242 439.7696,-2114.9242"/>
<text text-anchor="middle" x="422.7696" y="-2093.1242" font-family="Times,serif" font-size="16.00" fill="#000000">25: 48</text>
</g>
<!-- N20&#45;&gt;N25 -->
<g id="edge18" class="edge">
<title>N20&#45;&gt;N25</title>
<path fill="none" stroke="#000000" d="M422.7696,-2199.1587C422.7696,-2179.3817 422.7696,-2147.8853 422.7696,-2125.0744"/>
<polygon fill="#000000" stroke="#000000" points="426.2697,-2124.9712 422.7696,-2114.9712 419.2697,-2124.9712 426.2697,-2124.9712"/>
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<!-- N22 -->
<g id="node23" class="node">
<title>N22</title>
<ellipse fill="none" stroke="#000000" cx="725.7696" cy="-2096.9242" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="725.7696" y="-2093.1242" font-family="Times,serif" font-size="16.00" fill="#000000">22: 3C</text>
</g>
<!-- N27 -->
<g id="node28" class="node">
<title>N27</title>
<ellipse fill="none" stroke="#000000" cx="725.7696" cy="-1976.0714" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="725.7696" y="-1972.2714" font-family="Times,serif" font-size="16.00" fill="#000000">27: 96</text>
</g>
<!-- N22&#45;&gt;N27 -->
<g id="edge19" class="edge">
<title>N22&#45;&gt;N27</title>
<path fill="none" stroke="#000000" d="M725.7696,-2054.3161C725.7696,-2037.9107 725.7696,-2019.581 725.7696,-2004.7886"/>
<polygon fill="#000000" stroke="#000000" points="729.2697,-2004.7208 725.7696,-1994.7208 722.2697,-2004.7208 729.2697,-2004.7208"/>
</g>
<!-- N28 -->
<g id="node29" class="node">
<title>N28</title>
<ellipse fill="none" stroke="#000000" cx="624.7696" cy="-1976.0714" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="624.7696" y="-1972.2714" font-family="Times,serif" font-size="16.00" fill="#000000">28: 0F</text>
</g>
<!-- N23&#45;&gt;N28 -->
<g id="edge20" class="edge">
<title>N23&#45;&gt;N28</title>
<path fill="none" stroke="#000000" d="M624.7696,-2078.3058C624.7696,-2058.6432 624.7696,-2027.3962 624.7696,-2004.618"/>
<polygon fill="#000000" stroke="#000000" points="628.2697,-2004.5126 624.7696,-1994.5127 621.2697,-2004.5127 628.2697,-2004.5126"/>
</g>
<!-- N29 -->
<g id="node30" class="node">
<title>N29</title>
<path fill="none" stroke="#000000" d="M540.7696,-1994.0714C540.7696,-1994.0714 506.7696,-1994.0714 506.7696,-1994.0714 500.7696,-1994.0714 494.7696,-1988.0714 494.7696,-1982.0714 494.7696,-1982.0714 494.7696,-1970.0714 494.7696,-1970.0714 494.7696,-1964.0714 500.7696,-1958.0714 506.7696,-1958.0714 506.7696,-1958.0714 540.7696,-1958.0714 540.7696,-1958.0714 546.7696,-1958.0714 552.7696,-1964.0714 552.7696,-1970.0714 552.7696,-1970.0714 552.7696,-1982.0714 552.7696,-1982.0714 552.7696,-1988.0714 546.7696,-1994.0714 540.7696,-1994.0714"/>
<text text-anchor="middle" x="523.7696" y="-1972.2714" font-family="Times,serif" font-size="16.00" fill="#000000">29: 48</text>
</g>
<!-- N24&#45;&gt;N29 -->
<g id="edge21" class="edge">
<title>N24&#45;&gt;N29</title>
<path fill="none" stroke="#000000" d="M523.7696,-2078.3058C523.7696,-2058.5288 523.7696,-2027.0324 523.7696,-2004.2216"/>
<polygon fill="#000000" stroke="#000000" points="527.2697,-2004.1184 523.7696,-1994.1184 520.2697,-2004.1184 527.2697,-2004.1184"/>
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<!-- N26 -->
<g id="node27" class="node">
<title>N26</title>
<ellipse fill="none" stroke="#000000" cx="826.7696" cy="-1976.0714" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="826.7696" y="-1972.2714" font-family="Times,serif" font-size="16.00" fill="#000000">26: 3C</text>
</g>
<!-- N31 -->
<g id="node32" class="node">
<title>N31</title>
<ellipse fill="none" stroke="#000000" cx="826.7696" cy="-1855.2186" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="826.7696" y="-1851.4186" font-family="Times,serif" font-size="16.00" fill="#000000">31: 96</text>
</g>
<!-- N26&#45;&gt;N31 -->
<g id="edge22" class="edge">
<title>N26&#45;&gt;N31</title>
<path fill="none" stroke="#000000" d="M826.7696,-1933.4632C826.7696,-1917.0579 826.7696,-1898.7282 826.7696,-1883.9358"/>
<polygon fill="#000000" stroke="#000000" points="830.2697,-1883.8679 826.7696,-1873.868 823.2697,-1883.868 830.2697,-1883.8679"/>
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<!-- N32 -->
<g id="node33" class="node">
<title>N32</title>
<ellipse fill="none" stroke="#000000" cx="725.7696" cy="-1855.2186" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="725.7696" y="-1851.4186" font-family="Times,serif" font-size="16.00" fill="#000000">32: 0F</text>
</g>
<!-- N27&#45;&gt;N32 -->
<g id="edge23" class="edge">
<title>N27&#45;&gt;N32</title>
<path fill="none" stroke="#000000" d="M725.7696,-1957.453C725.7696,-1937.7903 725.7696,-1906.5434 725.7696,-1883.7652"/>
<polygon fill="#000000" stroke="#000000" points="729.2697,-1883.6598 725.7696,-1873.6598 722.2697,-1883.6599 729.2697,-1883.6598"/>
</g>
<!-- N33 -->
<g id="node34" class="node">
<title>N33</title>
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<!-- N28&#45;&gt;N33 -->
<g id="edge24" class="edge">
<title>N28&#45;&gt;N33</title>
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<g id="node31" class="node">
<title>N30</title>
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<g id="node36" class="node">
<title>N35</title>
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<!-- N30&#45;&gt;N35 -->
<g id="edge25" class="edge">
<title>N30&#45;&gt;N35</title>
<path fill="none" stroke="#000000" d="M927.7696,-1812.6104C927.7696,-1796.2051 927.7696,-1777.8754 927.7696,-1763.083"/>
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<g id="node37" class="node">
<title>N36</title>
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<text text-anchor="middle" x="826.7696" y="-1730.5658" font-family="Times,serif" font-size="16.00" fill="#000000">36: 0F</text>
</g>
<!-- N31&#45;&gt;N36 -->
<g id="edge26" class="edge">
<title>N31&#45;&gt;N36</title>
<path fill="none" stroke="#000000" d="M826.7696,-1836.6002C826.7696,-1816.9375 826.7696,-1785.6905 826.7696,-1762.9124"/>
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<!-- N37 -->
<g id="node38" class="node">
<title>N37</title>
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<!-- N32&#45;&gt;N37 -->
<g id="edge27" class="edge">
<title>N32&#45;&gt;N37</title>
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<!-- N34 -->
<g id="node35" class="node">
<title>N34</title>
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<text text-anchor="middle" x="1028.7696" y="-1730.5658" font-family="Times,serif" font-size="16.00" fill="#000000">34: 3C</text>
</g>
<!-- N39 -->
<g id="node40" class="node">
<title>N39</title>
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<text text-anchor="middle" x="1028.7696" y="-1609.713" font-family="Times,serif" font-size="16.00" fill="#000000">39: 96</text>
</g>
<!-- N34&#45;&gt;N39 -->
<g id="edge28" class="edge">
<title>N34&#45;&gt;N39</title>
<path fill="none" stroke="#000000" d="M1028.7696,-1691.7576C1028.7696,-1675.3522 1028.7696,-1657.0225 1028.7696,-1642.2302"/>
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<!-- N40 -->
<g id="node41" class="node">
<title>N40</title>
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<text text-anchor="middle" x="927.7696" y="-1609.713" font-family="Times,serif" font-size="16.00" fill="#000000">40: 0F</text>
</g>
<!-- N35&#45;&gt;N40 -->
<g id="edge29" class="edge">
<title>N35&#45;&gt;N40</title>
<path fill="none" stroke="#000000" d="M927.7696,-1715.7474C927.7696,-1696.0847 927.7696,-1664.8377 927.7696,-1642.0596"/>
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<!-- N41 -->
<g id="node42" class="node">
<title>N41</title>
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<!-- N36&#45;&gt;N41 -->
<g id="edge30" class="edge">
<title>N36&#45;&gt;N41</title>
<path fill="none" stroke="#000000" d="M826.7696,-1715.7474C826.7696,-1695.9704 826.7696,-1664.474 826.7696,-1641.6631"/>
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<!-- N38 -->
<g id="node39" class="node">
<title>N38</title>
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<text text-anchor="middle" x="1129.7696" y="-1609.713" font-family="Times,serif" font-size="16.00" fill="#000000">38: 3C</text>
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<!-- N43 -->
<g id="node44" class="node">
<title>N43</title>
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<text text-anchor="middle" x="1129.7696" y="-1488.8602" font-family="Times,serif" font-size="16.00" fill="#000000">43: 96</text>
</g>
<!-- N38&#45;&gt;N43 -->
<g id="edge31" class="edge">
<title>N38&#45;&gt;N43</title>
<path fill="none" stroke="#000000" d="M1129.7696,-1570.9048C1129.7696,-1554.4994 1129.7696,-1536.1697 1129.7696,-1521.3774"/>
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<!-- N44 -->
<g id="node45" class="node">
<title>N44</title>
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<text text-anchor="middle" x="1028.7696" y="-1488.8602" font-family="Times,serif" font-size="16.00" fill="#000000">44: 0F</text>
</g>
<!-- N39&#45;&gt;N44 -->
<g id="edge32" class="edge">
<title>N39&#45;&gt;N44</title>
<path fill="none" stroke="#000000" d="M1028.7696,-1594.8946C1028.7696,-1575.2319 1028.7696,-1543.9849 1028.7696,-1521.2067"/>
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<!-- N45 -->
<g id="node46" class="node">
<title>N45</title>
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<!-- N40&#45;&gt;N45 -->
<g id="edge33" class="edge">
<title>N40&#45;&gt;N45</title>
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<g id="node43" class="node">
<title>N42</title>
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<text text-anchor="middle" x="1230.7696" y="-1488.8602" font-family="Times,serif" font-size="16.00" fill="#000000">42: 3C</text>
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<g id="node48" class="node">
<title>N47</title>
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<text text-anchor="middle" x="1230.7696" y="-1368.0074" font-family="Times,serif" font-size="16.00" fill="#000000">47: 96</text>
</g>
<!-- N42&#45;&gt;N47 -->
<g id="edge34" class="edge">
<title>N42&#45;&gt;N47</title>
<path fill="none" stroke="#000000" d="M1230.7696,-1450.052C1230.7696,-1433.6466 1230.7696,-1415.3169 1230.7696,-1400.5246"/>
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<g id="node49" class="node">
<title>N48</title>
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</g>
<!-- N43&#45;&gt;N48 -->
<g id="edge35" class="edge">
<title>N43&#45;&gt;N48</title>
<path fill="none" stroke="#000000" d="M1129.7696,-1474.0418C1129.7696,-1454.3791 1129.7696,-1423.1321 1129.7696,-1400.3539"/>
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<!-- N49 -->
<g id="node50" class="node">
<title>N49</title>
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<!-- N44&#45;&gt;N49 -->
<g id="edge36" class="edge">
<title>N44&#45;&gt;N49</title>
<path fill="none" stroke="#000000" d="M1028.7696,-1474.0418C1028.7696,-1454.2648 1028.7696,-1422.7684 1028.7696,-1399.9575"/>
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<g id="node47" class="node">
<title>N46</title>
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<text text-anchor="middle" x="1331.7696" y="-1368.0074" font-family="Times,serif" font-size="16.00" fill="#000000">46: 3C</text>
</g>
<!-- N51 -->
<g id="node52" class="node">
<title>N51</title>
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</g>
<!-- N46&#45;&gt;N51 -->
<g id="edge37" class="edge">
<title>N46&#45;&gt;N51</title>
<path fill="none" stroke="#000000" d="M1331.7696,-1329.1992C1331.7696,-1312.7938 1331.7696,-1294.4641 1331.7696,-1279.6718"/>
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<!-- N52 -->
<g id="node53" class="node">
<title>N52</title>
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<text text-anchor="middle" x="1230.7696" y="-1247.1545" font-family="Times,serif" font-size="16.00" fill="#000000">52: 0F</text>
</g>
<!-- N47&#45;&gt;N52 -->
<g id="edge38" class="edge">
<title>N47&#45;&gt;N52</title>
<path fill="none" stroke="#000000" d="M1230.7696,-1353.189C1230.7696,-1333.5263 1230.7696,-1302.2793 1230.7696,-1279.5011"/>
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<!-- N53 -->
<g id="node54" class="node">
<title>N53</title>
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<!-- N48&#45;&gt;N53 -->
<g id="edge39" class="edge">
<title>N48&#45;&gt;N53</title>
<path fill="none" stroke="#000000" d="M1129.7696,-1353.189C1129.7696,-1333.412 1129.7696,-1301.9156 1129.7696,-1279.1047"/>
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<!-- N50 -->
<g id="node51" class="node">
<title>N50</title>
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<text text-anchor="middle" x="1432.7696" y="-1247.1545" font-family="Times,serif" font-size="16.00" fill="#000000">50: 3C</text>
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<!-- N55 -->
<g id="node56" class="node">
<title>N55</title>
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</g>
<!-- N50&#45;&gt;N55 -->
<g id="edge40" class="edge">
<title>N50&#45;&gt;N55</title>
<path fill="none" stroke="#000000" d="M1432.7696,-1208.3464C1432.7696,-1191.941 1432.7696,-1173.6113 1432.7696,-1158.8189"/>
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<!-- N56 -->
<g id="node57" class="node">
<title>N56</title>
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<text text-anchor="middle" x="1331.7696" y="-1126.3017" font-family="Times,serif" font-size="16.00" fill="#000000">56: 0F</text>
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<!-- N51&#45;&gt;N56 -->
<g id="edge41" class="edge">
<title>N51&#45;&gt;N56</title>
<path fill="none" stroke="#000000" d="M1331.7696,-1232.3361C1331.7696,-1212.6735 1331.7696,-1181.4265 1331.7696,-1158.6483"/>
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<!-- N57 -->
<g id="node58" class="node">
<title>N57</title>
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<!-- N52&#45;&gt;N57 -->
<g id="edge42" class="edge">
<title>N52&#45;&gt;N57</title>
<path fill="none" stroke="#000000" d="M1230.7696,-1232.3361C1230.7696,-1212.5591 1230.7696,-1181.0627 1230.7696,-1158.2519"/>
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<g id="node55" class="node">
<title>N54</title>
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<!-- N59 -->
<g id="node60" class="node">
<title>N59</title>
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<text text-anchor="middle" x="1533.7696" y="-1005.4489" font-family="Times,serif" font-size="16.00" fill="#000000">59: 96</text>
</g>
<!-- N54&#45;&gt;N59 -->
<g id="edge43" class="edge">
<title>N54&#45;&gt;N59</title>
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<!-- N60 -->
<g id="node61" class="node">
<title>N60</title>
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<text text-anchor="middle" x="1432.7696" y="-1005.4489" font-family="Times,serif" font-size="16.00" fill="#000000">60: 0F</text>
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<!-- N55&#45;&gt;N60 -->
<g id="edge44" class="edge">
<title>N55&#45;&gt;N60</title>
<path fill="none" stroke="#000000" d="M1432.7696,-1111.4833C1432.7696,-1091.8206 1432.7696,-1060.5737 1432.7696,-1037.7955"/>
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<!-- N61 -->
<g id="node62" class="node">
<title>N61</title>
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<!-- N56&#45;&gt;N61 -->
<g id="edge45" class="edge">
<title>N56&#45;&gt;N61</title>
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<!-- N58 -->
<g id="node59" class="node">
<title>N58</title>
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<text text-anchor="middle" x="1634.7696" y="-1005.4489" font-family="Times,serif" font-size="16.00" fill="#000000">58: 3C</text>
</g>
<!-- N63 -->
<g id="node64" class="node">
<title>N63</title>
<ellipse fill="none" stroke="#000000" cx="1634.7696" cy="-888.3961" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="1634.7696" y="-884.5961" font-family="Times,serif" font-size="16.00" fill="#000000">63: 96</text>
</g>
<!-- N58&#45;&gt;N63 -->
<g id="edge46" class="edge">
<title>N58&#45;&gt;N63</title>
<path fill="none" stroke="#000000" d="M1634.7696,-966.6407C1634.7696,-950.2354 1634.7696,-931.9057 1634.7696,-917.1133"/>
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<!-- N64 -->
<g id="node65" class="node">
<title>N64</title>
<ellipse fill="none" stroke="#000000" cx="1533.7696" cy="-888.3961" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="1533.7696" y="-884.5961" font-family="Times,serif" font-size="16.00" fill="#000000">64: 0F</text>
</g>
<!-- N59&#45;&gt;N64 -->
<g id="edge47" class="edge">
<title>N59&#45;&gt;N64</title>
<path fill="none" stroke="#000000" d="M1533.7696,-990.6305C1533.7696,-970.9678 1533.7696,-939.7208 1533.7696,-916.9427"/>
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<!-- N65 -->
<g id="node66" class="node">
<title>N65</title>
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</g>
<!-- N60&#45;&gt;N65 -->
<g id="edge48" class="edge">
<title>N60&#45;&gt;N65</title>
<path fill="none" stroke="#000000" d="M1432.7696,-990.6305C1432.7696,-970.8535 1432.7696,-939.3571 1432.7696,-916.5462"/>
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<!-- N62 -->
<g id="node63" class="node">
<title>N62</title>
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<text text-anchor="middle" x="1735.7696" y="-884.5961" font-family="Times,serif" font-size="16.00" fill="#000000">62: 3C</text>
</g>
<!-- N67 -->
<g id="node68" class="node">
<title>N67</title>
<ellipse fill="none" stroke="#000000" cx="1735.7696" cy="-767.5433" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="1735.7696" y="-763.7433" font-family="Times,serif" font-size="16.00" fill="#000000">67: 96</text>
</g>
<!-- N62&#45;&gt;N67 -->
<g id="edge49" class="edge">
<title>N62&#45;&gt;N67</title>
<path fill="none" stroke="#000000" d="M1735.7696,-845.7879C1735.7696,-829.3826 1735.7696,-811.0528 1735.7696,-796.2605"/>
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<!-- N68 -->
<g id="node69" class="node">
<title>N68</title>
<ellipse fill="none" stroke="#000000" cx="1634.7696" cy="-767.5433" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="1634.7696" y="-763.7433" font-family="Times,serif" font-size="16.00" fill="#000000">68: 0F</text>
</g>
<!-- N63&#45;&gt;N68 -->
<g id="edge50" class="edge">
<title>N63&#45;&gt;N68</title>
<path fill="none" stroke="#000000" d="M1634.7696,-869.7777C1634.7696,-850.115 1634.7696,-818.868 1634.7696,-796.0899"/>
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<!-- N69 -->
<g id="node70" class="node">
<title>N69</title>
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<!-- N64&#45;&gt;N69 -->
<g id="edge51" class="edge">
<title>N64&#45;&gt;N69</title>
<path fill="none" stroke="#000000" d="M1533.7696,-869.7777C1533.7696,-850.0007 1533.7696,-818.5043 1533.7696,-795.6934"/>
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<!-- N66 -->
<g id="node67" class="node">
<title>N66</title>
<ellipse fill="none" stroke="#000000" cx="1836.7696" cy="-767.5433" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="1836.7696" y="-763.7433" font-family="Times,serif" font-size="16.00" fill="#000000">66: 3C</text>
</g>
<!-- N71 -->
<g id="node72" class="node">
<title>N71</title>
<ellipse fill="none" stroke="#000000" cx="1836.7696" cy="-646.6905" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="1836.7696" y="-642.8905" font-family="Times,serif" font-size="16.00" fill="#000000">71: 96</text>
</g>
<!-- N66&#45;&gt;N71 -->
<g id="edge52" class="edge">
<title>N66&#45;&gt;N71</title>
<path fill="none" stroke="#000000" d="M1836.7696,-724.9351C1836.7696,-708.5297 1836.7696,-690.2 1836.7696,-675.4077"/>
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<!-- N72 -->
<g id="node73" class="node">
<title>N72</title>
<ellipse fill="none" stroke="#000000" cx="1735.7696" cy="-646.6905" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="1735.7696" y="-642.8905" font-family="Times,serif" font-size="16.00" fill="#000000">72: 0F</text>
</g>
<!-- N67&#45;&gt;N72 -->
<g id="edge53" class="edge">
<title>N67&#45;&gt;N72</title>
<path fill="none" stroke="#000000" d="M1735.7696,-748.9249C1735.7696,-729.2622 1735.7696,-698.0152 1735.7696,-675.237"/>
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<!-- N73 -->
<g id="node74" class="node">
<title>N73</title>
<path fill="none" stroke="#000000" d="M1651.7696,-664.6905C1651.7696,-664.6905 1617.7696,-664.6905 1617.7696,-664.6905 1611.7696,-664.6905 1605.7696,-658.6905 1605.7696,-652.6905 1605.7696,-652.6905 1605.7696,-640.6905 1605.7696,-640.6905 1605.7696,-634.6905 1611.7696,-628.6905 1617.7696,-628.6905 1617.7696,-628.6905 1651.7696,-628.6905 1651.7696,-628.6905 1657.7696,-628.6905 1663.7696,-634.6905 1663.7696,-640.6905 1663.7696,-640.6905 1663.7696,-652.6905 1663.7696,-652.6905 1663.7696,-658.6905 1657.7696,-664.6905 1651.7696,-664.6905"/>
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<!-- N68&#45;&gt;N73 -->
<g id="edge54" class="edge">
<title>N68&#45;&gt;N73</title>
<path fill="none" stroke="#000000" d="M1634.7696,-748.9249C1634.7696,-729.1479 1634.7696,-697.6515 1634.7696,-674.8406"/>
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<!-- N70 -->
<g id="node71" class="node">
<title>N70</title>
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<text text-anchor="middle" x="1937.7696" y="-642.8905" font-family="Times,serif" font-size="16.00" fill="#000000">70: 3C</text>
</g>
<!-- N75 -->
<g id="node76" class="node">
<title>N75</title>
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<text text-anchor="middle" x="1937.7696" y="-522.0377" font-family="Times,serif" font-size="16.00" fill="#000000">75: 96</text>
</g>
<!-- N70&#45;&gt;N75 -->
<g id="edge55" class="edge">
<title>N70&#45;&gt;N75</title>
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<!-- N76 -->
<g id="node77" class="node">
<title>N76</title>
<ellipse fill="none" stroke="#000000" cx="1836.7696" cy="-525.8377" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="1836.7696" y="-522.0377" font-family="Times,serif" font-size="16.00" fill="#000000">76: 0F</text>
</g>
<!-- N71&#45;&gt;N76 -->
<g id="edge56" class="edge">
<title>N71&#45;&gt;N76</title>
<path fill="none" stroke="#000000" d="M1836.7696,-628.0721C1836.7696,-608.4094 1836.7696,-577.1624 1836.7696,-554.3842"/>
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<!-- N77 -->
<g id="node78" class="node">
<title>N77</title>
<path fill="none" stroke="#000000" d="M1752.7696,-543.8377C1752.7696,-543.8377 1718.7696,-543.8377 1718.7696,-543.8377 1712.7696,-543.8377 1706.7696,-537.8377 1706.7696,-531.8377 1706.7696,-531.8377 1706.7696,-519.8377 1706.7696,-519.8377 1706.7696,-513.8377 1712.7696,-507.8377 1718.7696,-507.8377 1718.7696,-507.8377 1752.7696,-507.8377 1752.7696,-507.8377 1758.7696,-507.8377 1764.7696,-513.8377 1764.7696,-519.8377 1764.7696,-519.8377 1764.7696,-531.8377 1764.7696,-531.8377 1764.7696,-537.8377 1758.7696,-543.8377 1752.7696,-543.8377"/>
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<!-- N72&#45;&gt;N77 -->
<g id="edge57" class="edge">
<title>N72&#45;&gt;N77</title>
<path fill="none" stroke="#000000" d="M1735.7696,-628.0721C1735.7696,-608.2951 1735.7696,-576.7987 1735.7696,-553.9878"/>
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<!-- N74 -->
<g id="node75" class="node">
<title>N74</title>
<ellipse fill="none" stroke="#000000" cx="2038.7696" cy="-525.8377" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="2038.7696" y="-522.0377" font-family="Times,serif" font-size="16.00" fill="#000000">74: 3C</text>
</g>
<!-- N79 -->
<g id="node80" class="node">
<title>N79</title>
<ellipse fill="none" stroke="#000000" cx="2038.7696" cy="-404.9848" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="2038.7696" y="-401.1848" font-family="Times,serif" font-size="16.00" fill="#000000">79: 96</text>
</g>
<!-- N74&#45;&gt;N79 -->
<g id="edge58" class="edge">
<title>N74&#45;&gt;N79</title>
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<!-- N80 -->
<g id="node81" class="node">
<title>N80</title>
<ellipse fill="none" stroke="#000000" cx="1937.7696" cy="-404.9848" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="1937.7696" y="-401.1848" font-family="Times,serif" font-size="16.00" fill="#000000">80: 0F</text>
</g>
<!-- N75&#45;&gt;N80 -->
<g id="edge59" class="edge">
<title>N75&#45;&gt;N80</title>
<path fill="none" stroke="#000000" d="M1937.7696,-507.2193C1937.7696,-487.5566 1937.7696,-456.3096 1937.7696,-433.5314"/>
<polygon fill="#000000" stroke="#000000" points="1941.2697,-433.426 1937.7696,-423.4261 1934.2697,-433.4261 1941.2697,-433.426"/>
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<!-- N81 -->
<g id="node82" class="node">
<title>N81</title>
<path fill="none" stroke="#000000" d="M1853.7696,-422.9848C1853.7696,-422.9848 1819.7696,-422.9848 1819.7696,-422.9848 1813.7696,-422.9848 1807.7696,-416.9848 1807.7696,-410.9848 1807.7696,-410.9848 1807.7696,-398.9848 1807.7696,-398.9848 1807.7696,-392.9848 1813.7696,-386.9848 1819.7696,-386.9848 1819.7696,-386.9848 1853.7696,-386.9848 1853.7696,-386.9848 1859.7696,-386.9848 1865.7696,-392.9848 1865.7696,-398.9848 1865.7696,-398.9848 1865.7696,-410.9848 1865.7696,-410.9848 1865.7696,-416.9848 1859.7696,-422.9848 1853.7696,-422.9848"/>
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<!-- N76&#45;&gt;N81 -->
<g id="edge60" class="edge">
<title>N76&#45;&gt;N81</title>
<path fill="none" stroke="#000000" d="M1836.7696,-507.2193C1836.7696,-487.4423 1836.7696,-455.9459 1836.7696,-433.135"/>
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<!-- N78 -->
<g id="node79" class="node">
<title>N78</title>
<ellipse fill="none" stroke="#000000" cx="2139.7696" cy="-404.9848" rx="42.3529" ry="42.3529"/>
<text text-anchor="middle" x="2139.7696" y="-401.1848" font-family="Times,serif" font-size="16.00" fill="#000000">78: 3C</text>
</g>
<!-- N83 -->
<g id="node84" class="node">
<title>N83</title>
<ellipse fill="none" stroke="#000000" cx="2139.7696" cy="-284.132" rx="41.0244" ry="18.2703"/>
<text text-anchor="middle" x="2139.7696" y="-280.332" font-family="Times,serif" font-size="16.00" fill="#000000">83: 96</text>
</g>
<!-- N78&#45;&gt;N83 -->
<g id="edge61" class="edge">
<title>N78&#45;&gt;N83</title>
<path fill="none" stroke="#000000" d="M2139.7696,-362.3767C2139.7696,-345.9713 2139.7696,-327.6416 2139.7696,-312.8492"/>
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<!-- N84 -->
<g id="node85" class="node">
<title>N84</title>
<ellipse fill="none" stroke="#000000" cx="2038.7696" cy="-284.132" rx="41.9398" ry="18.2703"/>
<text text-anchor="middle" x="2038.7696" y="-280.332" font-family="Times,serif" font-size="16.00" fill="#000000">84: 0F</text>
</g>
<!-- N79&#45;&gt;N84 -->
<g id="edge62" class="edge">
<title>N79&#45;&gt;N84</title>
<path fill="none" stroke="#000000" d="M2038.7696,-386.3664C2038.7696,-366.7038 2038.7696,-335.4568 2038.7696,-312.6786"/>
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<!-- N85 -->
<g id="node86" class="node">
<title>N85</title>
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After

Width:  |  Height:  |  Size: 61 KiB

5
doc/devel/dump/2024-04-08.Scheduler-LoadTest/index.txt
View file

@ -144,3 +144,8 @@ Topo-20.dot::
It is comprised of small yet interleaved dependency tries,
filling each level up to the maximum capacity (limited here to 8 workers).
Topo-21.dot::
Similar topology to emulate realistic load.
This graph requires only 4 parallel workers for maximum efficiency
and is comprised entirely of short, 4-step interleaved linear chains.

15
tests/vault/gear/scheduler-stress-test.cpp
View file

@ -452,13 +452,14 @@ cout << "time="<<runTime/1000
}
TestChainLoad<8> testLoad{256};
testLoad.seedingRule(testLoad.rule().probability(0.6).minVal(2))
testLoad.seedingRule(testLoad.rule().probability(0.6).maxVal(2))
.pruningRule(testLoad.rule().probability(0.44))
.setSeed(55)
.setSeed(60)
.buildTopology()
// .printTopologyDOT()
// .printTopologyStatistics()
.printTopologyDOT()
.printTopologyStatistics()
;
return;
// auto stressFac = 1.0;
// auto concurrency = 8;
@ -487,7 +488,7 @@ cout << "time="<<runTime/1000
// double TRIGGER_SDEV = 1.0; //0.25;
// double TRIGGER_DELTA = 2.0; //0.5;
// uint CONCURRENCY = 4;
uint CONCURRENCY = 8;
uint CONCURRENCY = 4;
// bool SCHED_DEPENDS = true;
bool showRuns = true;
@ -495,10 +496,10 @@ cout << "time="<<runTime/1000
testLoad()
{
TestLoad testLoad{256};
testLoad.seedingRule(testLoad.rule().probability(0.6).minVal(2))
testLoad.seedingRule(testLoad.rule().probability(0.6).maxVal(2))
.pruningRule(testLoad.rule().probability(0.44))
.weightRule(testLoad.value(1))
.setSeed(55);
.setSeed(60);
return testLoad;
}

6
tests/vault/gear/stress-test-rig.hpp
View file

@ -392,16 +392,12 @@ namespace test {
void
maybeAdaptScaleEmpirically (TestSetup& testSetup, double stressFac)
{
double formFac = testSetup.determineEmpiricFormFactor (CONF::CONCURRENCY);
if (not gaugeProbes) return;
double gain = util::limited (0, pow(stressFac, 9), 1);
if (gain < 0.2) return;
//
// double formFac = testSetup.determineEmpiricFormFactor (CONF::CONCURRENCY);
double afak = adjustmentFac;
double formFac = testSetup.determineEmpiricFormFactor (CONF::CONCURRENCY);
adjustmentFac = gain*formFac + (1-gain)*adjustmentFac;
cout << _Fmt{"g:%-2d|%3.1f stress:%4.2f formFac=%5.3f ▶ %5.3f -> %5.3f => %5.3f"}
% gaugeProbes % gain % stressFac% formFac % afak%adjustmentFac % (stressFac/adjustmentFac) <<endl;
testSetup.withAdaptedSchedule(stressFac, CONF::CONCURRENCY, adjustmentFac);
--gaugeProbes;
}

1
tests/vault/gear/test-chain-load.hpp
View file

@ -1990,7 +1990,6 @@ namespace test {
double expectedNodeTime = _uSec(compuLoad_->timeBase) * weightSum / chainLoad_.size();
double realAvgNodeTime = stat.activeTime / stat.activationCnt;
formFac *= realAvgNodeTime / expectedNodeTime;
cout<<"∅conc:"<<stat.avgConcurrency<<" ....f◇f="<<formFac<<endl;
return formFac;
}

21
wiki/renderengine.html
View file

@ -7352,7 +7352,7 @@ While the ability to reason about activities and verify their behaviour in isola
The way other parts of the system are built, requires us to obtain a guaranteed knowledge of some job's termination. It is possible to obtain that knowledge with some limited delay, but it nees to be absoultely reliable (violations leading to segfault). The requirements stated above assume this can be achieved through //jobs with guaranteed execution.// Alternatively we could consider installing specific callbacks -- in this case the scheduler itself has to guarantee the invocation of these callbacks, even if the corresponding job fails or is never invoked. It doesn't seem there is any other option.
</pre>
</div>
<div title="SchedulerTest" creator="Ichthyostega" modifier="Ichthyostega" created="202312281814" modified="202404172013" tags="Rendering operational draft img" changecount="106">
<div title="SchedulerTest" creator="Ichthyostega" modifier="Ichthyostega" created="202312281814" modified="202404172226" tags="Rendering operational draft img" changecount="119">
<pre>With the Scheduler testing effort [[#1344|https://issues.lumiera.org/ticket/1344]], several goals are pursued
* by exposing the new scheduler implementation to excessive overload, its robustness can be assessed and defects can be spotted
* with the help of a systematic, calibrated load, characteristic performance limits and breaking points can be established
@ -7459,9 +7459,24 @@ Further measurement runs with other parameter values fit well in between the two
!!!Stationary Processing
The ultimate goal of //load- and stress testing// is to establish a notion of //full load// and to demonstrate adequate performance under //nominal load conditions.// Thus, after investigating overheads and the breaking point of a complex schedule, a measurement setup was established with load patterns deemed „realistic“ -- based on knowledge regarding some typical media processing demands encountered for video editing. Such a setup entails small dependency trees of jobs loaded with computation times around 5ms, interleaving several challenges up to the available level of concurrency. To determine viable parameter bounds, the //breaking-point// measurement method can be applied to an extended graph with this structure, to find out at which level the computations will use the system's abilities to such a degree that it is not able to move along faster any more.
&lt;html&gt;&lt;img title=&quot;Load topology for stationary processing with 8 cores&quot; src=&quot;dump/2024-04-08.Scheduler-LoadTest/Topo-20.svg&quot; style=&quot;width:100%&quot;/&gt;&lt;/html&gt;
This pattern can be processed
* with 8 workers in overall 192ms
* processing 256 Nodes, each loaded with 5ms
* since this graph has 35 levels, ∅ 5.6ms are required per level
* on average, concurrency reaches 5.4 (some nodes have to wait for dependencies)
This research revealed again the tendency of the given Scheduler implementation to ''scale-down capacity unless overloaded''. Using the breaking-point method with such a fine grained and rather homogenous schedule can thus be problematic, since a search for the limit will inevitably involve running several probes //below the limit// -- which can cause the scheduler to reduce the number of workers used to a level that fills the available time. Depending on the path taken, the search can thus find a breaking point corresponding to a throttled capacity, while taking a search path through parameter ranges of overload will reveal the ability to follow a much tighter schedule. While this is an inherent problem of this measurement approach, it can be mitigated to some degree by limiting the empiric adaption of the parameter scale to the initial phase of the measurement, while ensuring this initial phase is started from overload territory.
&lt;html&gt;&lt;img title=&quot;Load topology for stationary processing with 8 cores&quot; src=&quot;dump/2024-04-08.Scheduler-LoadTest/Topo-21.svg&quot; style=&quot;float:right; width: 80ex; margin-left:2ex&quot;/&gt;&lt;/html&gt;
This research revealed again the tendency of the given Scheduler implementation to ''scale-down capacity unless overloaded''. Using the breaking-point method with such a fine grained and rather homogenous schedule can be problematic, since a search for the limit will inevitably involve running several probes //below the limit// -- which can cause the scheduler to reduce the number of workers used to a level that fills the available time. Depending on the path taken, the search can thus find a breaking point corresponding to a throttled capacity, while taking a search path through parameter ranges of overload will reveal the ability to follow a much tighter schedule. While this is an inherent problem of this measurement approach, it can be mitigated to some degree by limiting the empiric adaption of the parameter scale to the initial phase of the measurement, while ensuring this initial phase is started from overload territory.
</pre>
For comparison, another, similar load pattern was used, which however is comprised entirely of interleaved 4-step linear chains. Each level can thus be handled with a maximum of 4 workers; actually there are 66 levels — with ∅3.88 Nodes/Level, due to the ramp-up and ramp-down towards the ends.
| !observation|!4 workers|!8 workers|
| breaking point|stress 1.01 |stress 0.8 |
| run time|340ms |234ms |
| ≙ per level|5.15ms |3.5 |
| avg.conc|3.5 |5.3 |
These observations indicate ''adequate handling without tangible overhead''.
When limited to 4 workers, the concurrency of ∅ 3.5 is only slightly below the average number of 3.88 Nodes/Level, and the time per level is near optimal, taking into account the fact (established by the overload measurements) that the actual job load tends to be slightly above the calibrated value of 5ms. The setup with 8 workers shows that further worker can be used to accommodate a tighter schedule, but then the symptoms for //breaking the schedule// are already reached at a nominally lower stress value, and only 5.3 of 8 workers will be active on average — this graph simply does not offer more work load locally, since 75% of all Nodes have a predecessor.
&lt;html&gt;&lt;div style=&quot;clear: both&quot;/&gt;&lt;/html&gt;</pre>
</div>
<div title="SchedulerWorker" creator="Ichthyostega" modifier="Ichthyostega" created="202309041605" modified="202312281745" tags="Rendering operational spec draft" changecount="21">
<pre>The Scheduler //maintains a ''Work Force'' (a pool of workers) to perform the next [[render activities|RenderActivity]] continuously.//

110
wiki/thinkPad.ichthyo.mm
View file

@ -116261,10 +116261,11 @@ std::cout &lt;&lt; tmpl.render({&quot;what&quot;, &quot;World&quot;}) &lt;&lt; s
</node>
</node>
</node>
<node BACKGROUND_COLOR="#eee5c3" COLOR="#990000" CREATED="1713110964437" ID="ID_1985468535" MODIFIED="1713110974268" TEXT="Beobachtung wieder im Stress-Test-Rig">
<icon BUILTIN="flag-yellow"/>
<node BACKGROUND_COLOR="#eef0c5" COLOR="#990000" CREATED="1713111196126" ID="ID_850536834" MODIFIED="1713138669660" TEXT="6.Test">
<icon BUILTIN="pencil"/>
<node COLOR="#338800" CREATED="1713110964437" ID="ID_1985468535" MODIFIED="1713392925805" TEXT="Beobachtung wieder im Stress-Test-Rig">
<icon BUILTIN="button_ok"/>
<node BACKGROUND_COLOR="#c8c0b6" COLOR="#338800" CREATED="1713111196126" ID="ID_850536834" MODIFIED="1713392920805" TEXT="6.Test">
<icon BUILTIN="button_ok"/>
<icon BUILTIN="smiley-neutral"/>
<node CREATED="1713111392612" ID="ID_248623434" LINK="#ID_1699065000" MODIFIED="1713111422512" TEXT="Graph-3 mit 8-Nodes Breite und 8 Kernen">
<node CREATED="1713111480488" ID="ID_1948015468" MODIFIED="1713111524014" TEXT="63% Seed, 31% Exit, 12% Join, 8% inner Nodes"/>
<node CREATED="1713111537808" ID="ID_1390128414" MODIFIED="1713111552841" TEXT="&#x2205; 4.74 Seeds / Level"/>
@ -116759,6 +116760,107 @@ std::cout &lt;&lt; tmpl.render({&quot;what&quot;, &quot;World&quot;}) &lt;&lt; s
</node>
</node>
</node>
<node BACKGROUND_COLOR="#c8c0b6" COLOR="#435e98" CREATED="1713385611349" ID="ID_1753811281" MODIFIED="1713386167596" TEXT="Ergebnis">
<icon BUILTIN="forward"/>
<node CREATED="1713385652976" ID="ID_100314715" MODIFIED="1713385672097" TEXT="nomineller Breaking-point bei Stress = 1.01"/>
<node CREATED="1713385672850" ID="ID_62875516" MODIFIED="1713385690631" TEXT="Laufzeit 192ms f&#xfc;r 256 Nodes"/>
<node CREATED="1713386097599" ID="ID_945876100" MODIFIED="1713386105568" TEXT="eingeteilt in 34 Level"/>
<node CREATED="1713385808426" ID="ID_1237464001" MODIFIED="1713386093779" TEXT="&#x2259; 5.6ms pro Level"/>
<node CREATED="1713386149478" ID="ID_1576163862" MODIFIED="1713386155841" TEXT="&#x2205;concurrency = 5.4"/>
</node>
</node>
<node BACKGROUND_COLOR="#c8c0b6" COLOR="#338800" CREATED="1713388032420" ID="ID_448970923" MODIFIED="1713392922837" TEXT="7.Test">
<icon BUILTIN="button_ok"/>
<icon BUILTIN="ksmiletris"/>
<node CREATED="1713388053790" ID="ID_1441088139" LINK="#ID_1928191255" MODIFIED="1713390183085" TEXT="verwende besser Graph-2 und beschr&#xe4;nke auf concurrency = 4">
<node CREATED="1713388269784" ID="ID_1234121492" MODIFIED="1713388286244" TEXT="weil er nur maximal 4 Kerne parallel braucht"/>
<node CREATED="1713388287014" ID="ID_385515593" MODIFIED="1713388351726" TEXT="damit ist er eine bessere Grundlage f&#xfc;r einen generischen Test">
<richcontent TYPE="NOTE"><html>
<head>
</head>
<body>
<p>
...ich mu&#223; auch daran denken, da&#223; nicht jede Maschine 8 Kerne hat. Insofern erscheint es sinnvoller, die Concurrency auf 4 zu beschr&#228;nken, und dann zu sehen, wo man landet
</p>
</body>
</html>
</richcontent>
</node>
<node CREATED="1713388249411" ID="ID_1149253486" MODIFIED="1713388494914" TEXT="weil dieser Graph nur aus unverkn&#xfc;pften Ketten besteht">
<richcontent TYPE="NOTE"><html>
<head>
</head>
<body>
<p>
der Graph-3 hat denn doch immer wieder mehrstufige Dependency-Tries &#8212; und ich kann daher nicht entscheiden, ob die beobachtete &#8709;concurrency = 5.4 auf dependency-wait zur&#252;ckzuf&#252;hren ist, oder tats&#228;chlich durch Abregeln der Kapazit&#228;t durch den Scheduler zustande kam. M&#246;glicherweise auch beides im Wechselspiel.
</p>
</body>
</html>
</richcontent>
</node>
<node CREATED="1713389530936" ID="ID_687771347" MODIFIED="1713389605825" TEXT="&#x27f9; 66 Level &#x2014; &#x2205;3.88 Nodes/Level"/>
<node CREATED="1713389623499" ID="ID_841283321" MODIFIED="1713389680527" TEXT="25% seed, 25% exit, 50% inner nodes (sehr ausgewogen)"/>
</node>
<node COLOR="#435e98" CREATED="1713389752927" ID="ID_1901246297" MODIFIED="1713392962639" TEXT="Beobachtungen">
<icon BUILTIN="list"/>
<node CREATED="1713385652976" ID="ID_1753220972" MODIFIED="1713385672097" TEXT="nomineller Breaking-point bei Stress = 1.01"/>
<node CREATED="1713389802797" ID="ID_525297182" MODIFIED="1713389820235" TEXT="Laufzeit: 340ms"/>
<node CREATED="1713389843438" ID="ID_1316650485" MODIFIED="1713389854551" TEXT="&#x2259; 5.15ms pro Level"/>
<node CREATED="1713389882687" ID="ID_957430022" MODIFIED="1713389887665" TEXT="&#x2205;concurrency = 3.5">
<node CREATED="1713389918466" ID="ID_600533061" MODIFIED="1713392945570">
<richcontent TYPE="NODE"><html>
<head>
</head>
<body>
<p>
das ist <b>ziemlich gut</b>
</p>
</body>
</html>
</richcontent>
</node>
<node CREATED="1713389924761" ID="ID_1422814603" MODIFIED="1713389946729" TEXT="da wir &#x2205;3.88 Nodes/Level haben"/>
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<node CREATED="1713390185820" ID="ID_1041511867" MODIFIED="1713390200894" TEXT="ohne Beschr&#xe4;nkung (8 Worker)">
<node CREATED="1713390204610" ID="ID_1620156113" MODIFIED="1713391902543" TEXT="es ergibt sich ein Form-Faktor ~ 0.60"/>
<node CREATED="1713390242236" ID="ID_208633587" MODIFIED="1713390246928" TEXT="&#x2205;concurrency = 5.3"/>
<node CREATED="1713390260293" ID="ID_1228772890" MODIFIED="1713390279667" TEXT="dann aber ein Breaking-Point bei stress = 0.80"/>
<node CREATED="1713390350765" ID="ID_1971923046" MODIFIED="1713390357487" TEXT="Laufzeit: 234ms">
<node CREATED="1713390469677" ID="ID_1239180521" MODIFIED="1713390482448" TEXT="das w&#xe4;ren &#x2205;3.5 / Level"/>
<node CREATED="1713390483042" ID="ID_1008001226" MODIFIED="1713390515426" TEXT="oder 4.875 / Node mit concurrency 5.3"/>
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<node CREATED="1713390567444" ID="ID_764793271" MODIFIED="1713390691584" TEXT="&#x27f9; nur erkl&#xe4;rbar durch dependency-waits">
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...da die tats&#228;chliche Last ehr bei 5.5ms liegt, k&#246;nnen diese Durchschnittswerte nur erkl&#228;rt werden, indem zeitweilig die zus&#228;tzlichen, freien Worker mithelfen; sie k&#246;nnen aber nicht permanent voll ausgelastet werden, da der Graph eigentlich nicht so viel Last hergibt. Trotzdem ergibt sich noch ein auf 60% verdichtetes Schedule
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Das deutet alles darauf hin, da&#223; das Scheduling weitgehend <b>effizient</b>&#160; ist
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