├── .gitignore
├── ListUtil_OMP.pl
├── ListUtil_OMP_DataFiles
    └── Xeon2597
    │   ├── ListUtil_OMP.png
    │   ├── ListUtil_OMP_100.csv
    │   ├── ListUtil_OMP_1000.csv
    │   ├── ListUtil_OMP_10000.csv
    │   ├── ListUtil_OMP_100000.csv
    │   ├── ListUtil_OMP_1000000.csv
    │   ├── ListUtil_OMP_10000000.csv
    │   ├── ListUtil_OMP_limited.png
    │   ├── ListUtil_OMP_limited_color.png
    │   └── ListUtil_OMP_ratio_limited_color.png
├── README.md
├── addArrayofIntegers.pl
├── addArrayofIntegers_C.pl
├── addIntegers.pl
├── analyze_ListUtil_OMP.R
└── i7.png


/.gitignore:
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1 | # Ignore all .csv files
2 | *.csv
3 | 
4 | # Ignore specific directory
5 | /_Inline/
6 | 
7 | # Ignore specific files
8 | 
9 | 


--------------------------------------------------------------------------------
/ListUtil_OMP.pl:
--------------------------------------------------------------------------------
  1 | #!/home/chrisarg/perl5/perlbrew/perls/current/bin/perl
  2 | use v5.38;
  3 | 
  4 | =head1 NAME
  5 | ListUtil_OMP.pl - Benchmark List::Util and list reduction operations with OMP
  6 | 
  7 | =head1 VERSION
  8 | 
  9 | Version 0.01 - created for London Perl & Raku Workshop 2024
 10 | 
 11 | =head1 USAGE
 12 |     
 13 |     perl ListUtil_OMP.pl-m 1 -s .3 -n 30 -r 100 -t 8 -e guided,1 -o ListUtil_OMP.csv
 14 | 
 15 | Simulates a large number of rounded doubles and times a number of reduction
 16 | operations (sum, product), using for loops in base Perl, List::Util, and 
 17 | OpenMP parallelized operations using Inline.
 18 | 
 19 | =head1 OPTIONS
 20 | 
 21 | Numerous options can control the scenarios to be tested (and none of them are 
 22 | required, since sensible defaults are provided):
 23 | 
 24 | =over 4
 25 | 
 26 | =item B<-n> I<number of elements>
 27 | 
 28 | Number of elements of the numeric array (the "size" of the problem)
 29 | 
 30 | =item B<-m> I<mean>
 31 | 
 32 | Mean of the lognormal distribution used to draw random numbers from
 33 | 
 34 | =item B<-s> I<standard deviation>
 35 | 
 36 | Standard deviation of the lognormal distribution used to draw random numbers from
 37 | 
 38 | =item B<-r> I<number of repetitions>
 39 | 
 40 | Number of repetitions for the benchmarking
 41 | 
 42 | =item B<-t> I<number of threads>
 43 | 
 44 | Maximum number of threads to use for the OpenMP operations (default is 2); the program
 45 | will test all scenarios from 1 to C<$c> threads.
 46 | 
 47 | =item B<-e> I<OpenMP schedule>
 48 | 
 49 | OpenMP schedule to use for the parallelized operations (default is guided,1). The
 50 | schedule is a comma-separated string with the first element being the schedule kind
 51 | (static, dynamic, guided, auto) and the second element being the chunk size. This
 52 | will be set up through the OMP_SCHEDULE environment variable at runtime. 
 53 | 
 54 | =item B<-o> I<output file>
 55 | 
 56 | Output file for the benchmarking results (default is ListUtil_OMP.csv)
 57 | 
 58 | =back
 59 | 
 60 | =head1 DEPENDENCIES
 61 | 
 62 | The script depends on the following modules:
 63 | 
 64 | =over 4
 65 | 
 66 | =item Benchmark::CSV
 67 | 
 68 | =item File::Copy
 69 | 
 70 | =item Getopt::Long
 71 | 
 72 | =item Inline::C
 73 | 
 74 | =item List::Util
 75 | 
 76 | =item Math::GSL::RNG
 77 | 
 78 | =item Math::GSL::Randist
 79 | 
 80 | =item OpenMP::Environment
 81 | 
 82 | =item PDL::Lite
 83 | 
 84 | =item PDL::IO::CSV
 85 | 
 86 | =item PDL::Stats::Basic
 87 | 
 88 | =back
 89 | 
 90 | =head1 TODO
 91 | 
 92 | Expand the script to include more operations (e.g. min and max) and more scenarios
 93 | including different types of data (e.g. text, integers, floating point numbers),
 94 | and OMP tasks.
 95 | 
 96 | =head1 AUTHOR
 97 | 
 98 | Christos Argyropoulos, C<< <chrisarg at cpan.org> >>
 99 | =cut
100 | 
101 | ###############################################################################
102 | ## dependencies
103 | use Benchmark::CSV;    # for proper statistical benchmarking
104 | use File::Copy;        # for copying files
105 | use Getopt::Long;      # for parsing command line options
106 | use List::Util qw(min max sum product)
107 |   ;                    # for finding the minimum and maximum values
108 | use Math::GSL::RNG;
109 | use Math::GSL::Randist qw/:all/;    # for generating random numbers
110 | use OpenMP::Environment;            # for controlling the OpenMP environment
111 | use PDL::Lite;
112 | use PDL::IO::CSV ':all';
113 | use PDL::Stats::Basic;
114 | use Inline (
115 |     C         => 'DATA',
116 |     ccflagsex => q{-fopenmp},
117 |     lddlflags => join( q{ }, $Config::Config{lddlflags}, q{-fopenmp} ),
118 |     myextlib  => ''
119 | );
120 | ###############################################################################
121 | ## process command line options : number of elements, mean and standard deviation
122 | ## We will generate text length and  integer values with a lognormal distribution
123 | my $n = 1_000;               # number of elements
124 | my $m = 1;                   # mean
125 | my $s = 1;                   # standard deviation
126 | my $r = 20;                  # number of repetitions
127 | my $t = 2;                   # maximum number of threads to test for scalability
128 | my $e = 'guided,1';          # OpenMP schedule
129 | my $o = 'ListUtil_OMP.csv';  # output file
130 | GetOptions(
131 |     'n=i' => \$n,
132 |     'm=f' => \$m,
133 |     's=f' => \$s,
134 |     'r=i' => \$r,
135 |     't=i' => \$t,
136 |     'e=s' => \$e,
137 |     'o=s' => \$o,
138 | );
139 | 
140 | my $env = OpenMP::Environment->new();    ## initialize the OpenMP environment
141 | 
142 | ## simulate the text and numeric arrays
143 | my $rng            = Math::GSL::RNG->new();
144 | my @random_numbers = (undef) x $n;
145 | for my $i ( 0 .. $n - 1 ) {
146 |     $random_numbers[$i] = int( gsl_ran_lognormal( $rng->raw(), $m, $s ) );
147 | }
148 | 
149 | 
150 | ## to avoid overflow issues, invert every other element in @random_numbers
151 | ## and zeros to ones
152 | for my $i ( 0 .. $#random_numbers ) {
153 |     $random_numbers[$i] = 1 if $random_numbers[$i] == 0;
154 |     $random_numbers[$i] = 1.0/$random_numbers[$i] if $i % 2;
155 | }
156 | 
157 | ## initialize and set the benchmarks
158 | my $benchmark = Benchmark::CSV->new(
159 |     output      => $o,
160 |     sample_size => 1,
161 | );
162 | $benchmark->add_instance( 'ListUtil_sum_num_1' => sub { sum(@random_numbers) },
163 | );
164 | $benchmark->add_instance(
165 |     'ForLoop_sum_num_1' => sub {
166 |         my $sum = 0.0;
167 |         foreach my $i (@random_numbers) {
168 |             $sum += $i;
169 |         }
170 |     },
171 | );
172 | $benchmark->add_instance( 'StC_sum_num_1' => sub { sum_with_C(\@random_numbers) },
173 | );
174 | for my $num_of_threads ( 1 .. $t ) {
175 |     my $bench_name = sprintf "OMP_sum_num_%02d", $num_of_threads;
176 |     $benchmark->add_instance(
177 |         $bench_name => sub {
178 |             $env->omp_num_threads($num_of_threads);
179 |             $env->omp_schedule($e);
180 |             set_openmp_schedule_from_env();
181 |             set_openmp_num_threads_from_env();
182 |             sum_with_OMP( \@random_numbers );
183 |         },
184 |     );
185 | }    ## add the benchmarks for the OpenMP parallelized sum
186 | $benchmark->add_instance(
187 |     'ListUtil_prod_num_1' => sub { product(@random_numbers) }, );
188 | $benchmark->add_instance(
189 |     'ForLoop_prod_num_1' => sub {
190 |         my $prod = 1.0;
191 |         foreach my $i (@random_numbers) {
192 |             $prod *= $i;
193 |         }
194 |     },
195 | );
196 | $benchmark->add_instance( 'StC_prod_num_1' => sub { prod_with_C(\@random_numbers) },
197 | );
198 | for my $num_of_threads ( 1 .. $t ) {
199 |     my $bench_name = sprintf "OMP_prod_num_%02d", $num_of_threads;
200 |     $benchmark->add_instance(
201 |         $bench_name => sub {
202 |             $env->omp_num_threads($num_of_threads);
203 |             $env->omp_schedule($e);
204 |             set_openmp_schedule_from_env();
205 |             set_openmp_num_threads_from_env();
206 |             prod_with_OMP( \@random_numbers );
207 |         },
208 |     );
209 | }    ## add the benchmarks for the OpenMP parallelized sum
210 | $benchmark->run_iterations($r);
211 | 
212 | # Load the CSV file
213 | 
214 | my @data = rcsv1D( $o, { text2bad => 1, header => 1 } );
215 | 
216 | my %summary_stats = ();
217 | 
218 | foreach my $col ( 0 .. $#data ) {
219 |     my $pdl    = pdl( $data[$col] );
220 |     my $mean   = $pdl->average;
221 |     my $stddev = $pdl->stdv_unbiased;
222 |     my $median = $pdl->median;
223 |     $summary_stats{ $data[$col]->hdr->{col_name} } =
224 |       { mean => $mean, stddev => $stddev, median => $median };
225 | }
226 | 
227 | # Get the column names from the first row
228 | my @column_names = sort keys %{ $summary_stats{ ( keys %summary_stats )[0] } };
229 | 
230 | # Define the width for each column
231 | my $width_name = 24;
232 | my $width_col  = 10;
233 | 
234 | # Print the column names
235 | printf "%-${width_name}s", '';
236 | printf "%${width_col}s",   $_ for @column_names;
237 | print "\n";
238 | 
239 | # Print each row
240 | foreach my $row_name ( sort keys %summary_stats ) {
241 |     printf "%-${width_name}s", $row_name;
242 |     printf "%${width_col}.1e", $summary_stats{$row_name}{$_} for @column_names;
243 |     print "\n";
244 | }
245 | 
246 | ## copy the $o to a file in which the size of the problem is included prior to the 
247 | ## extension .csv
248 | my $o_new = $o;
249 | $o_new =~ s/\.csv/_$n.csv/;
250 | copy( $o, $o_new );
251 | unlink $o;
252 | 
253 | 
254 | __DATA__
255 | __C__
256 | 
257 | #include <omp.h>
258 | #include <stdlib.h>
259 | #include <string.h>
260 | 
261 | void set_openmp_schedule_from_env();
262 | void set_openmp_num_threads_from_env();
263 | SV* sum_with_OMP(AV *array);
264 | SV* prod_with_OMP(AV *array);
265 | SV* sum_with_C(AV *array);
266 | SV* prod_with_C(AV *array);
267 | 
268 | void set_openmp_schedule_from_env() {
269 |     char *schedule_env = getenv("OMP_SCHEDULE");
270 |     if (schedule_env != NULL) {
271 |         char *kind_str = strtok(schedule_env, ",");
272 |         char *chunk_size_str = strtok(NULL, ",");
273 | 
274 |         omp_sched_t kind;
275 |         if (strcmp(kind_str, "static") == 0) {
276 |             kind = omp_sched_static;
277 |         } else if (strcmp(kind_str, "dynamic") == 0) {
278 |             kind = omp_sched_dynamic;
279 |         } else if (strcmp(kind_str, "guided") == 0) {
280 |             kind = omp_sched_guided;
281 |         } else {
282 |             kind = omp_sched_auto;
283 |         }
284 |         int chunk_size = atoi(chunk_size_str);
285 |         omp_set_schedule(kind, chunk_size);
286 |     }
287 | }
288 | 
289 | void set_openmp_num_threads_from_env() {
290 |   char *num;
291 |   num = getenv("OMP_NUM_THREADS");
292 |   omp_set_num_threads(atoi(num));
293 | }
294 | 
295 | 
296 | SV* sum_with_OMP(AV *array) {
297 |   int len = av_len(array) + 1;
298 |   double retval = 0.0;
299 | #pragma omp parallel
300 |   {
301 | #pragma omp for schedule(runtime) reduction(+:retval) nowait
302 |     for (int i = 0; i < len; i++) {
303 |       SV **elem = av_fetch_simple(array, i, 0); // perl 5.36 and above
304 |       if (elem != NULL) {
305 |         retval += (double) SvNV(*elem);
306 |       }
307 |     }
308 |   }
309 |   return newSVnv(retval); 
310 | }
311 | 
312 | SV* sum_with_C(AV *array) {
313 |   int len = av_len(array) + 1;
314 |   double retval = 0.0;
315 |   for (int i = 0; i < len; i++) {
316 |     SV **elem = av_fetch_simple(array, i, 0); // perl 5.36 and above
317 |     if (elem != NULL) {
318 |       retval += (double) SvNV(*elem);
319 |     }
320 |   }
321 |   return newSVnv(retval); 
322 | }
323 | 
324 | 
325 | SV* prod_with_OMP(AV *array) {
326 |   int len = av_len(array) + 1;
327 |   double retval = 1.0;
328 | #pragma omp parallel
329 |   {
330 | #pragma omp for schedule(runtime) reduction(*:retval) nowait
331 |     for (int i = 0; i < len; i++) {
332 |       SV **elem = av_fetch_simple(array, i, 0); // perl 5.36 and above
333 |       if (elem != NULL) {
334 |         retval *= (double) SvNV(*elem);
335 |       }
336 |     }
337 |   }
338 |   return newSVnv(retval); 
339 | }
340 | 
341 | SV* prod_with_C(AV *array) {
342 |   int len = av_len(array) + 1;
343 |   double retval = 1.0;
344 |   for (int i = 0; i < len; i++) {
345 |     SV **elem = av_fetch_simple(array, i, 0); // perl 5.36 and above
346 |     if (elem != NULL) {
347 |       retval *= (double) SvNV(*elem);
348 |     }
349 |   }
350 |   return newSVnv(retval); 
351 | }


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/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP.png:
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https://raw.githubusercontent.com/chrisarg/perlAssembly/9b41a989d4cef8bafa3279afdbc4c06e21d76cd2/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP.png


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/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_100.csv:
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  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.000012,0.000005,0.000003,0.000003,0.000537,0.000597,0.000552,0.000869,0.000657,0.000612,0.000777,0.000734,0.000544,0.000552,0.000561,0.000548,0.000728,0.000653,0.000776,0.000689,0.000004,0.000003
  3 | 0.000012,0.000004,0.000003,0.000003,0.000627,0.000598,0.000647,0.000621,0.000565,0.000727,0.000592,0.000740,0.000573,0.000626,0.000593,0.000613,0.000680,0.000571,0.000896,0.000870,0.000002,0.000002
  4 | 0.000026,0.000014,0.000003,0.000002,0.000638,0.000635,0.000628,0.000611,0.000578,0.000658,0.000860,0.000879,0.000638,0.000551,0.000622,0.000768,0.000843,0.000782,0.000615,0.000814,0.000003,0.000003
  5 | 0.000013,0.000019,0.000003,0.000003,0.000583,0.000589,0.000682,0.000621,0.000681,0.000762,0.000723,0.000780,0.000602,0.000526,0.000644,0.000675,0.000662,0.000583,0.000912,0.000721,0.000002,0.000002
  6 | 0.000013,0.000007,0.000003,0.000004,0.000706,0.000695,0.000630,0.000641,0.000750,0.000852,0.000720,0.000804,0.000633,0.000599,0.000673,0.000605,0.000736,0.000572,0.000789,0.000943,0.000001,0.000002
  7 | 0.000010,0.000012,0.000002,0.000003,0.000625,0.000615,0.000607,0.000718,0.000711,0.000757,0.000936,0.000727,0.000599,0.000656,0.000612,0.000678,0.000600,0.000658,0.000719,0.000884,0.000001,0.000001
  8 | 0.000015,0.000012,0.000002,0.000002,0.000682,0.000619,0.000669,0.000612,0.000748,0.000591,0.000674,0.000815,0.000601,0.000581,0.000737,0.000687,0.000650,0.000609,0.000765,0.000770,0.000001,0.000002
  9 | 0.000016,0.000014,0.000004,0.000002,0.000605,0.000551,0.000662,0.000825,0.000669,0.000644,0.000799,0.000777,0.000586,0.000639,0.000635,0.000563,0.000828,0.000608,0.000730,0.000871,0.000001,0.000004
 10 | 0.000015,0.000011,0.000003,0.000002,0.000574,0.000648,0.000598,0.000602,0.000669,0.000690,0.000834,0.000862,0.000629,0.000664,0.000709,0.000657,0.000640,0.000671,0.000749,0.000843,0.000001,0.000002
 11 | 0.000012,0.000013,0.000002,0.000003,0.000601,0.000548,0.000663,0.000570,0.000626,0.000783,0.000572,0.000932,0.000666,0.000625,0.000643,0.000806,0.000597,0.000630,0.000687,0.000869,0.000002,0.000003
 12 | 0.000012,0.000014,0.000003,0.000001,0.000623,0.000613,0.000608,0.000667,0.000669,0.000864,0.000594,0.000788,0.000650,0.000536,0.000628,0.000614,0.000615,0.000845,0.000613,0.000830,0.000001,0.000003
 13 | 0.000066,0.000027,0.000002,0.000002,0.000593,0.000596,0.000614,0.000696,0.000690,0.000685,0.000718,0.000835,0.000653,0.000532,0.000740,0.000665,0.000669,0.000666,0.000758,0.000915,0.000007,0.000002
 14 | 0.000012,0.000014,0.000004,0.000002,0.000625,0.000562,0.000614,0.000776,0.000667,0.000737,0.000813,0.000851,0.000623,0.000661,0.000568,0.000601,0.000836,0.000697,0.000834,0.000652,0.000002,0.000005
 15 | 0.000038,0.000014,0.000003,0.000005,0.000561,0.000605,0.000690,0.000550,0.000689,0.000779,0.000601,0.000706,0.000682,0.000664,0.000589,0.000696,0.000678,0.000754,0.000613,0.000734,0.000001,0.000002
 16 | 0.000016,0.000013,0.000003,0.000003,0.000624,0.000592,0.000614,0.000643,0.000614,0.000696,0.000775,0.000849,0.000645,0.000550,0.000665,0.000574,0.000785,0.000604,0.000900,0.000791,0.000002,0.000001
 17 | 0.000008,0.000011,0.000002,0.000003,0.000662,0.000650,0.000644,0.000606,0.000652,0.000713,0.000834,0.000839,0.000559,0.000604,0.000518,0.000622,0.000816,0.000636,0.000911,0.000689,0.000002,0.000001
 18 | 0.000019,0.000013,0.000003,0.000003,0.000526,0.000582,0.000685,0.000639,0.000537,0.000668,0.000807,0.000621,0.000644,0.000617,0.000626,0.000661,0.000624,0.000858,0.000847,0.000938,0.000002,0.000002
 19 | 0.000012,0.000011,0.000002,0.000003,0.000603,0.000565,0.000705,0.000685,0.000667,0.000733,0.000796,0.000921,0.000576,0.000669,0.000604,0.000618,0.000638,0.000628,0.000830,0.000833,0.000002,0.000002
 20 | 0.000015,0.000012,0.000003,0.000003,0.000624,0.000588,0.000559,0.000594,0.000632,0.000672,0.000805,0.000679,0.000565,0.000572,0.000763,0.000672,0.000751,0.000767,0.000797,0.000813,0.000002,0.000001
 21 | 0.000012,0.000012,0.000002,0.000002,0.000605,0.000625,0.000726,0.000585,0.000775,0.000610,0.000786,0.000775,0.000547,0.000609,0.000611,0.000667,0.000681,0.000660,0.000800,0.000770,0.000001,0.000002
 22 | 0.000015,0.000009,0.000003,0.000004,0.000615,0.000664,0.000606,0.000656,0.000734,0.000868,0.000800,0.000756,0.000675,0.000580,0.000559,0.000624,0.000626,0.000611,0.000748,0.000837,0.000002,0.000002
 23 | 0.000010,0.000004,0.000001,0.000002,0.000676,0.000640,0.000572,0.000608,0.000636,0.000823,0.000621,0.000755,0.000668,0.000592,0.000597,0.000662,0.000790,0.000846,0.000656,0.000715,0.000002,0.000002
 24 | 0.000011,0.000012,0.000002,0.000002,0.000682,0.000622,0.000642,0.000732,0.000752,0.000670,0.000913,0.000809,0.000704,0.000598,0.000593,0.000676,0.000646,0.000760,0.000701,0.000741,0.000002,0.000003
 25 | 0.000011,0.000011,0.000003,0.000007,0.000647,0.000601,0.000691,0.000759,0.000728,0.000691,0.000762,0.000816,0.000582,0.000646,0.000623,0.000829,0.000591,0.000629,0.000675,0.000861,0.000002,0.000001
 26 | 0.000011,0.000014,0.000003,0.000002,0.000662,0.000600,0.000645,0.000632,0.000640,0.000724,0.000729,0.000818,0.000618,0.000603,0.000570,0.000755,0.000644,0.000602,0.000782,0.000792,0.000003,0.000002
 27 | 0.000011,0.000010,0.000003,0.000005,0.000690,0.000661,0.000591,0.000696,0.000660,0.000683,0.000723,0.000607,0.000610,0.000607,0.000632,0.000777,0.000639,0.000690,0.000781,0.000890,0.000001,0.000001
 28 | 0.000027,0.000009,0.000002,0.000002,0.000578,0.000589,0.000672,0.000629,0.000664,0.000826,0.000674,0.000837,0.000561,0.000636,0.000539,0.000608,0.000760,0.000786,0.000621,0.000817,0.000002,0.000002
 29 | 0.000010,0.000012,0.000002,0.000005,0.000580,0.000637,0.000596,0.000726,0.000627,0.000798,0.000628,0.000818,0.000598,0.000684,0.000659,0.000625,0.000603,0.000582,0.000706,0.000941,0.000002,0.000002
 30 | 0.000014,0.000012,0.000003,0.000001,0.000544,0.000658,0.000745,0.000660,0.000684,0.000754,0.000637,0.000923,0.000612,0.000574,0.000644,0.000633,0.000639,0.000625,0.000719,0.000834,0.000002,0.000002
 31 | 0.000011,0.000008,0.000003,0.000003,0.000655,0.000636,0.000585,0.000672,0.000673,0.000760,0.000628,0.000702,0.000678,0.000618,0.000600,0.000604,0.000743,0.000616,0.000794,0.000830,0.000002,0.000001
 32 | 0.000011,0.000012,0.000001,0.000002,0.000581,0.000648,0.000614,0.000725,0.000621,0.000752,0.000729,0.000876,0.000621,0.000605,0.000642,0.000836,0.000656,0.000653,0.000820,0.000878,0.000001,0.000002
 33 | 0.000011,0.000009,0.000003,0.000002,0.000652,0.000593,0.000634,0.000643,0.000656,0.000687,0.000626,0.000872,0.000613,0.000643,0.000634,0.000748,0.000599,0.000604,0.000883,0.000881,0.000002,0.000002
 34 | 0.000015,0.000013,0.000002,0.000002,0.000659,0.000636,0.000631,0.000757,0.000613,0.000750,0.000758,0.000871,0.000671,0.000634,0.000594,0.000716,0.000665,0.000630,0.000896,0.000714,0.000003,0.000001
 35 | 0.000011,0.000010,0.000003,0.000002,0.000629,0.000615,0.000678,0.000606,0.000591,0.000651,0.000720,0.000878,0.000543,0.000563,0.000804,0.000731,0.000688,0.000624,0.000922,0.000904,0.000001,0.000003
 36 | 0.000010,0.000016,0.000003,0.000002,0.000657,0.000632,0.000616,0.000696,0.000637,0.000786,0.000794,0.000682,0.000669,0.000675,0.000604,0.000571,0.000768,0.000617,0.000796,0.000855,0.000002,0.000002
 37 | 0.000012,0.000011,0.000003,0.000002,0.000613,0.000576,0.000625,0.000646,0.000725,0.000818,0.000718,0.000902,0.000669,0.000607,0.000595,0.000757,0.000625,0.000611,0.000766,0.000789,0.000002,0.000002
 38 | 0.000014,0.000017,0.000002,0.000003,0.000617,0.000609,0.000666,0.000672,0.000646,0.000793,0.000773,0.000834,0.000630,0.000587,0.000599,0.000585,0.000660,0.000686,0.000801,0.000709,0.000002,0.000002
 39 | 0.000012,0.000005,0.000002,0.000002,0.000577,0.000675,0.000624,0.000634,0.000729,0.000666,0.000707,0.000625,0.000685,0.000528,0.000604,0.000575,0.000788,0.000616,0.000679,0.000863,0.000001,0.000001
 40 | 0.000011,0.000010,0.000002,0.000003,0.000606,0.000639,0.000546,0.000583,0.000573,0.000620,0.000748,0.000773,0.000591,0.000637,0.000655,0.000660,0.000597,0.000666,0.000645,0.000887,0.000002,0.000002
 41 | 0.000012,0.000011,0.000003,0.000002,0.000618,0.000641,0.000678,0.000602,0.000707,0.000677,0.000733,0.000845,0.000672,0.000568,0.000657,0.000819,0.000770,0.000707,0.000704,0.000912,0.000005,0.000002
 42 | 0.000013,0.000013,0.000002,0.000002,0.000664,0.000646,0.000656,0.000597,0.000678,0.000693,0.000791,0.000853,0.000610,0.000659,0.000594,0.000600,0.000591,0.000786,0.000620,0.000904,0.000002,0.000003
 43 | 0.000015,0.000012,0.000002,0.000002,0.000659,0.000578,0.000762,0.000589,0.000818,0.000724,0.000617,0.000830,0.000655,0.000576,0.000578,0.000612,0.000610,0.000744,0.000693,0.000792,0.000001,0.000002
 44 | 0.000013,0.000011,0.000002,0.000002,0.000704,0.000616,0.000638,0.000674,0.000762,0.000727,0.000822,0.000870,0.000619,0.000619,0.000632,0.000564,0.000690,0.000648,0.000724,0.000996,0.000002,0.000002
 45 | 0.000011,0.000016,0.000003,0.000002,0.000571,0.000696,0.000609,0.000641,0.000756,0.000712,0.000613,0.000686,0.000627,0.000638,0.000607,0.000600,0.000635,0.000714,0.000764,0.000902,0.000001,0.000002
 46 | 0.000007,0.000011,0.000002,0.000002,0.000632,0.000611,0.000602,0.000618,0.000641,0.000678,0.000777,0.000789,0.000585,0.000599,0.000637,0.000602,0.000708,0.000775,0.000681,0.000954,0.000002,0.000002
 47 | 0.000010,0.000018,0.000003,0.000002,0.000649,0.000697,0.000707,0.000647,0.000610,0.000804,0.000772,0.000791,0.000590,0.000644,0.000627,0.000602,0.000683,0.000588,0.000758,0.000698,0.000001,0.000002
 48 | 0.000012,0.000011,0.000003,0.000002,0.000617,0.000668,0.000550,0.000607,0.000736,0.000660,0.000803,0.000807,0.000584,0.000619,0.000630,0.000600,0.000668,0.000855,0.000620,0.000704,0.000001,0.000002
 49 | 0.000013,0.000013,0.000003,0.000003,0.000675,0.000642,0.000634,0.000595,0.000606,0.000737,0.000780,0.000630,0.000576,0.000667,0.000551,0.000687,0.000681,0.000743,0.000747,0.000943,0.000002,0.000003
 50 | 0.000011,0.000008,0.000003,0.000002,0.000650,0.000607,0.000623,0.000627,0.000611,0.000656,0.000788,0.000811,0.000684,0.000678,0.000731,0.000628,0.000705,0.000634,0.000820,0.000857,0.000001,0.000002
 51 | 0.000024,0.000011,0.000002,0.000002,0.000610,0.000666,0.000635,0.000626,0.000697,0.000794,0.000661,0.000825,0.000614,0.000677,0.000682,0.000750,0.000672,0.000641,0.000722,0.000893,0.000002,0.000001
 52 | 0.000043,0.000013,0.000002,0.000002,0.000611,0.000550,0.000575,0.000549,0.000726,0.000727,0.000697,0.000771,0.000565,0.000658,0.000647,0.000625,0.000630,0.000750,0.000820,0.000875,0.000002,0.000004
 53 | 0.000016,0.000010,0.000002,0.000002,0.000631,0.000560,0.000673,0.000796,0.000794,0.000764,0.000666,0.000834,0.000628,0.000699,0.000640,0.000718,0.000589,0.000781,0.000689,0.000845,0.000002,0.000001
 54 | 0.000016,0.000012,0.000002,0.000002,0.000627,0.000662,0.000689,0.000591,0.000662,0.000839,0.000736,0.000602,0.000664,0.000620,0.000651,0.000636,0.000708,0.000768,0.000789,0.000838,0.000003,0.000001
 55 | 0.000010,0.000009,0.000003,0.000002,0.000570,0.000730,0.000700,0.000782,0.000674,0.000914,0.000790,0.000853,0.000631,0.000601,0.000653,0.000618,0.000826,0.000676,0.000872,0.000832,0.000001,0.000002
 56 | 0.000009,0.000013,0.000002,0.000002,0.000673,0.000607,0.000627,0.000680,0.000653,0.000638,0.000777,0.000918,0.000592,0.000604,0.000615,0.000716,0.000770,0.000668,0.000711,0.000898,0.000002,0.000003
 57 | 0.000013,0.000011,0.000002,0.000006,0.000602,0.000634,0.000599,0.000663,0.000805,0.000699,0.000841,0.000735,0.000596,0.000607,0.000668,0.000753,0.000729,0.000833,0.000757,0.000855,0.000002,0.000002
 58 | 0.000014,0.000010,0.000002,0.000002,0.000607,0.000608,0.000645,0.000727,0.000673,0.000675,0.000725,0.000760,0.000627,0.000586,0.000764,0.000626,0.000608,0.000666,0.000661,0.000691,0.000002,0.000004
 59 | 0.000011,0.000011,0.000003,0.000002,0.000651,0.000554,0.000680,0.000662,0.000697,0.000607,0.000878,0.000775,0.000697,0.000675,0.000590,0.000774,0.000619,0.000697,0.000605,0.000759,0.000002,0.000002
 60 | 0.000012,0.000021,0.000002,0.000002,0.000608,0.000623,0.000768,0.000542,0.000700,0.000605,0.000733,0.000817,0.000662,0.000657,0.000650,0.000641,0.000629,0.000649,0.000698,0.000948,0.000002,0.000002
 61 | 0.000013,0.000014,0.000002,0.000005,0.000680,0.000695,0.000678,0.000641,0.000658,0.000755,0.000694,0.000854,0.000595,0.000600,0.000543,0.000633,0.000739,0.000687,0.000900,0.000946,0.000001,0.000002
 62 | 0.000008,0.000012,0.000003,0.000003,0.000611,0.000659,0.000609,0.000655,0.000682,0.000757,0.000809,0.000831,0.000642,0.000618,0.000632,0.000677,0.000713,0.000738,0.000766,0.000947,0.000002,0.000002
 63 | 0.000013,0.000012,0.000003,0.000003,0.000593,0.000650,0.000612,0.000603,0.000673,0.000683,0.000792,0.000695,0.000627,0.000683,0.000580,0.000739,0.000726,0.000750,0.000780,0.000673,0.000002,0.000002
 64 | 0.000005,0.000014,0.000001,0.000002,0.000655,0.000584,0.000624,0.000586,0.000703,0.000594,0.000718,0.000624,0.000583,0.000590,0.000639,0.000779,0.000666,0.000654,0.000710,0.000810,0.000004,0.000001
 65 | 0.000005,0.000011,0.000001,0.000002,0.000585,0.000559,0.000663,0.000620,0.000690,0.000619,0.000688,0.000775,0.000659,0.000638,0.000584,0.000622,0.000667,0.000605,0.000696,0.000834,0.000001,0.000002
 66 | 0.000020,0.000018,0.000003,0.000002,0.000667,0.000697,0.000777,0.000624,0.000808,0.000761,0.000743,0.000675,0.000612,0.000625,0.000592,0.000730,0.000672,0.000690,0.000748,0.000813,0.000002,0.000002
 67 | 0.000012,0.000044,0.000002,0.000002,0.000604,0.000591,0.000598,0.000653,0.000751,0.000616,0.000702,0.000926,0.000537,0.000679,0.000619,0.000637,0.000683,0.000770,0.000868,0.000797,0.000002,0.000002
 68 | 0.000012,0.000015,0.000002,0.000002,0.000577,0.000685,0.000560,0.000745,0.000739,0.000716,0.000790,0.000658,0.000663,0.000539,0.000678,0.000620,0.000758,0.000590,0.000755,0.000748,0.000001,0.000002
 69 | 0.000011,0.000012,0.000002,0.000002,0.000602,0.000593,0.000721,0.000577,0.000770,0.000681,0.000799,0.000868,0.000637,0.000602,0.000793,0.000649,0.000698,0.000689,0.000656,0.000719,0.000002,0.000002
 70 | 0.000013,0.000027,0.000002,0.000007,0.000635,0.000633,0.000568,0.000638,0.000793,0.000656,0.000770,0.000766,0.000678,0.000609,0.000708,0.000590,0.000668,0.000876,0.000702,0.000638,0.000002,0.000001
 71 | 0.000012,0.000006,0.000002,0.000003,0.000639,0.000622,0.000577,0.000744,0.000676,0.000636,0.000798,0.000711,0.000611,0.000610,0.000634,0.000604,0.000657,0.000671,0.000729,0.000910,0.000002,0.000001
 72 | 0.000010,0.000019,0.000002,0.000002,0.000576,0.000686,0.000631,0.000572,0.000701,0.000816,0.000828,0.000760,0.000659,0.000658,0.000606,0.000740,0.000701,0.000707,0.000631,0.000880,0.000003,0.000002
 73 | 0.000017,0.000012,0.000002,0.000002,0.000637,0.000618,0.000686,0.000637,0.000623,0.000840,0.000787,0.000771,0.000533,0.000702,0.000734,0.000598,0.000662,0.000629,0.000745,0.001040,0.000001,0.000001
 74 | 0.000013,0.000013,0.000002,0.000003,0.000628,0.000668,0.000670,0.000652,0.000741,0.000687,0.000861,0.000842,0.000605,0.000622,0.000615,0.000584,0.000626,0.000814,0.000907,0.000814,0.000002,0.000001
 75 | 0.000040,0.000009,0.000002,0.000003,0.000640,0.000576,0.000686,0.000644,0.000581,0.000761,0.000801,0.000958,0.000683,0.000624,0.000612,0.000651,0.000701,0.000646,0.000901,0.000757,0.000001,0.000004
 76 | 0.000012,0.000013,0.000003,0.000002,0.000598,0.000660,0.000685,0.000629,0.000802,0.000791,0.000607,0.000855,0.000673,0.000551,0.000614,0.000616,0.000637,0.000682,0.000873,0.000898,0.000002,0.000001
 77 | 0.000011,0.000013,0.000003,0.000002,0.000616,0.000639,0.000638,0.000681,0.000777,0.000789,0.000926,0.000829,0.000662,0.000674,0.000540,0.000647,0.000687,0.000747,0.000719,0.000798,0.000002,0.000002
 78 | 0.000011,0.000010,0.000003,0.000002,0.000660,0.000654,0.000675,0.000625,0.000800,0.000744,0.000760,0.000728,0.000631,0.000649,0.000593,0.000667,0.000680,0.000688,0.000784,0.000713,0.000001,0.000002
 79 | 0.000005,0.000012,0.000002,0.000002,0.000627,0.000599,0.000660,0.000542,0.000697,0.000688,0.000724,0.000970,0.000639,0.000580,0.000801,0.000603,0.000791,0.000637,0.000704,0.000755,0.000001,0.000002
 80 | 0.000012,0.000020,0.000003,0.000002,0.000629,0.000611,0.000658,0.000600,0.000622,0.000735,0.000615,0.000749,0.000666,0.000639,0.000689,0.000589,0.000762,0.000713,0.000862,0.000928,0.000001,0.000002
 81 | 0.000012,0.000017,0.000003,0.000002,0.000597,0.000604,0.000636,0.000606,0.000594,0.000727,0.000725,0.000852,0.000678,0.000648,0.000610,0.000607,0.000854,0.000700,0.000780,0.000883,0.000002,0.000001
 82 | 0.000016,0.000041,0.000002,0.000001,0.000603,0.000555,0.000699,0.000656,0.000757,0.000736,0.000892,0.000762,0.000595,0.000636,0.000672,0.000628,0.000782,0.000637,0.000692,0.000911,0.000001,0.000002
 83 | 0.000010,0.000011,0.000002,0.000003,0.000602,0.000590,0.000609,0.000636,0.000684,0.000859,0.000662,0.000894,0.000685,0.000641,0.000604,0.000619,0.000752,0.000793,0.000635,0.000917,0.000002,0.000001
 84 | 0.000013,0.000013,0.000002,0.000002,0.000586,0.000678,0.000616,0.000661,0.000617,0.000810,0.000888,0.000849,0.000653,0.000594,0.000607,0.000697,0.000676,0.000700,0.000780,0.000673,0.000001,0.000002
 85 | 0.000010,0.000012,0.000003,0.000003,0.000614,0.000607,0.000628,0.000613,0.000647,0.000601,0.000729,0.000762,0.000648,0.000686,0.000632,0.000641,0.000628,0.000682,0.000785,0.000909,0.000005,0.000001
 86 | 0.000009,0.000013,0.000002,0.000002,0.000645,0.000627,0.000590,0.000784,0.000642,0.000682,0.000707,0.000916,0.000603,0.000601,0.000691,0.000754,0.000678,0.000717,0.000656,0.000874,0.000002,0.000001
 87 | 0.000009,0.000040,0.000002,0.000003,0.000535,0.000684,0.000761,0.000668,0.000593,0.000786,0.000699,0.000802,0.000617,0.000630,0.000663,0.000806,0.000624,0.000666,0.000782,0.000897,0.000002,0.000002
 88 | 0.000015,0.000012,0.000003,0.000002,0.000651,0.000639,0.000599,0.000546,0.000690,0.000763,0.000654,0.000805,0.000572,0.000608,0.000745,0.000672,0.000584,0.000662,0.000816,0.000867,0.000002,0.000001
 89 | 0.000014,0.000012,0.000002,0.000003,0.000670,0.000672,0.000643,0.000624,0.000628,0.000702,0.000860,0.000746,0.000619,0.000638,0.000643,0.000770,0.000593,0.000702,0.000758,0.000925,0.000002,0.000001
 90 | 0.000013,0.000012,0.000003,0.000002,0.000665,0.000675,0.000610,0.000716,0.000818,0.000665,0.000856,0.000829,0.000628,0.000665,0.000677,0.000627,0.000622,0.000733,0.000776,0.000742,0.000002,0.000002
 91 | 0.000011,0.000019,0.000002,0.000002,0.000686,0.000585,0.000649,0.000752,0.000742,0.000626,0.000726,0.000912,0.000605,0.000632,0.000659,0.000648,0.000619,0.000637,0.000853,0.000832,0.000002,0.000002
 92 | 0.000014,0.000013,0.000005,0.000010,0.000646,0.000671,0.000695,0.000651,0.000739,0.000658,0.001339,0.000962,0.000545,0.000645,0.000699,0.000619,0.000590,0.000717,0.000669,0.000831,0.000003,0.000002
 93 | 0.000008,0.000014,0.000002,0.000002,0.000665,0.000686,0.000644,0.000665,0.000754,0.000781,0.000640,0.000894,0.000610,0.000651,0.000635,0.000614,0.000656,0.000783,0.000775,0.000828,0.000001,0.000035
 94 | 0.000009,0.000008,0.000002,0.000002,0.000657,0.000673,0.000607,0.000654,0.000755,0.000819,0.000807,0.000818,0.000648,0.000643,0.000634,0.000654,0.000770,0.000660,0.000725,0.000843,0.000001,0.000002
 95 | 0.000008,0.000008,0.000002,0.000006,0.000650,0.000662,0.000745,0.000751,0.000649,0.000670,0.000890,0.000769,0.000647,0.000695,0.000675,0.000668,0.000643,0.000756,0.000677,0.000859,0.000001,0.000002
 96 | 0.000009,0.000008,0.000002,0.000002,0.000701,0.000659,0.000682,0.000649,0.000663,0.000654,0.000879,0.000751,0.000641,0.000670,0.000639,0.000658,0.000750,0.000678,0.000901,0.000842,0.000004,0.000002
 97 | 0.000008,0.000005,0.000002,0.000002,0.000739,0.000635,0.000631,0.000707,0.000794,0.000783,0.000719,0.000793,0.000639,0.000660,0.000619,0.000808,0.000623,0.000647,0.000782,0.000964,0.000002,0.000002
 98 | 0.000009,0.000009,0.000003,0.000002,0.000656,0.000649,0.000670,0.000662,0.000682,0.000821,0.000716,0.000832,0.000670,0.000648,0.000659,0.000679,0.000759,0.000837,0.000651,0.000952,0.000001,0.000002
 99 | 0.000007,0.000009,0.000002,0.000002,0.000668,0.000665,0.000619,0.000641,0.000760,0.000765,0.000823,0.001030,0.000684,0.000650,0.000783,0.000689,0.000649,0.000712,0.000763,0.000829,0.000001,0.000002
100 | 0.000008,0.000008,0.000005,0.000002,0.000624,0.000629,0.000536,0.000799,0.000648,0.000655,0.000846,0.000827,0.000650,0.000661,0.000693,0.000683,0.000655,0.000856,0.000699,0.000810,0.000002,0.000003
101 | 0.000007,0.000008,0.000002,0.000002,0.000618,0.000652,0.000632,0.000652,0.000749,0.000719,0.000753,0.000983,0.000649,0.000630,0.000617,0.000760,0.000664,0.000664,0.000678,0.000660,0.000002,0.000002
102 | 


--------------------------------------------------------------------------------
/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_1000.csv:
--------------------------------------------------------------------------------
  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.000044,0.000040,0.000008,0.000007,0.000625,0.000622,0.000723,0.000633,0.000828,0.000819,0.000730,0.001103,0.000703,0.000599,0.000588,0.000597,0.000707,0.000832,0.000655,0.000825,0.000004,0.000006
  3 | 0.000061,0.000046,0.000008,0.000006,0.000664,0.000665,0.000716,0.000621,0.000622,0.000727,0.000653,0.000819,0.000592,0.000553,0.000586,0.000666,0.000686,0.000760,0.001095,0.001010,0.000004,0.000004
  4 | 0.000059,0.000040,0.000007,0.000006,0.000613,0.000695,0.000611,0.000600,0.000548,0.000644,0.000779,0.000923,0.000597,0.000611,0.000559,0.000619,0.000829,0.000832,0.000803,0.000809,0.000004,0.000004
  5 | 0.000051,0.000040,0.000007,0.000006,0.000624,0.000693,0.000612,0.000702,0.000638,0.000680,0.001064,0.000842,0.000612,0.000671,0.000656,0.000612,0.000635,0.000731,0.000799,0.000956,0.000003,0.000005
  6 | 0.000061,0.000047,0.000010,0.000006,0.000606,0.000612,0.000620,0.000642,0.000682,0.000826,0.000694,0.000730,0.000624,0.000582,0.000677,0.000612,0.000613,0.000706,0.000815,0.000795,0.000005,0.000005
  7 | 0.000065,0.000050,0.000008,0.000009,0.000616,0.000661,0.000806,0.000542,0.000722,0.000712,0.000712,0.001008,0.000583,0.000573,0.000699,0.000665,0.000729,0.000750,0.000800,0.000842,0.000006,0.000005
  8 | 0.000043,0.000046,0.000007,0.000010,0.000670,0.000575,0.000629,0.000614,0.000647,0.000804,0.000741,0.000765,0.000680,0.000640,0.000615,0.000601,0.000800,0.000882,0.000779,0.000804,0.000004,0.000004
  9 | 0.000064,0.000050,0.000006,0.000006,0.000690,0.000637,0.000680,0.000668,0.000718,0.000764,0.000609,0.001031,0.000658,0.000636,0.000660,0.000782,0.000624,0.000801,0.000836,0.000754,0.000003,0.000005
 10 | 0.000045,0.000049,0.000009,0.000007,0.000611,0.000634,0.000589,0.000707,0.000720,0.000937,0.000702,0.000784,0.000679,0.000626,0.000625,0.000685,0.000768,0.000892,0.000833,0.000870,0.000003,0.000004
 11 | 0.000051,0.000046,0.000008,0.000008,0.000665,0.000595,0.000599,0.000687,0.000680,0.000668,0.000882,0.000919,0.000675,0.000635,0.000675,0.000700,0.000611,0.000796,0.000788,0.000749,0.000007,0.000004
 12 | 0.000059,0.000054,0.000009,0.000008,0.000704,0.000574,0.000702,0.000682,0.000626,0.000599,0.000886,0.000729,0.000658,0.000624,0.000620,0.000606,0.000771,0.000862,0.000677,0.000862,0.000004,0.000003
 13 | 0.000034,0.000085,0.000009,0.000008,0.000612,0.000696,0.000645,0.000614,0.000651,0.000919,0.000660,0.000936,0.000654,0.000648,0.000662,0.000659,0.000712,0.000623,0.000794,0.000880,0.000004,0.000004
 14 | 0.000047,0.000046,0.000006,0.000006,0.000544,0.000686,0.000617,0.000658,0.000736,0.000840,0.000695,0.000802,0.000648,0.000645,0.000590,0.000665,0.000658,0.000694,0.000746,0.001005,0.000003,0.000005
 15 | 0.000046,0.000043,0.000010,0.000022,0.000576,0.000602,0.000770,0.000599,0.000707,0.000740,0.000803,0.000926,0.000617,0.000651,0.000660,0.000673,0.000755,0.000743,0.000758,0.000846,0.000005,0.000004
 16 | 0.000051,0.000052,0.000006,0.000008,0.000567,0.000669,0.000604,0.000610,0.000668,0.000849,0.000681,0.000884,0.000601,0.000605,0.000776,0.000705,0.000727,0.000713,0.000813,0.000777,0.000004,0.000006
 17 | 0.000046,0.000050,0.000008,0.000008,0.000624,0.000592,0.000623,0.000549,0.000673,0.000702,0.000784,0.000828,0.000636,0.000650,0.000669,0.000745,0.000752,0.000573,0.000680,0.000887,0.000004,0.000004
 18 | 0.000044,0.000044,0.000007,0.000008,0.000676,0.000645,0.000653,0.000781,0.000610,0.000641,0.000865,0.000952,0.000622,0.000599,0.000599,0.000607,0.000741,0.000725,0.000814,0.000842,0.000005,0.000003
 19 | 0.000044,0.000047,0.000008,0.000021,0.000657,0.000717,0.000638,0.000581,0.000638,0.000672,0.000782,0.000911,0.000703,0.000708,0.000650,0.000660,0.000743,0.000714,0.000859,0.000787,0.000004,0.000003
 20 | 0.000047,0.000066,0.000007,0.000007,0.000616,0.000611,0.000604,0.000714,0.000734,0.000683,0.000882,0.000856,0.000590,0.000648,0.000617,0.000684,0.000753,0.000733,0.000871,0.000639,0.000005,0.000006
 21 | 0.000068,0.000052,0.000010,0.000008,0.000596,0.000600,0.000584,0.000768,0.000641,0.000810,0.000682,0.000708,0.000659,0.000742,0.000636,0.000669,0.000655,0.000733,0.000905,0.000947,0.000004,0.000004
 22 | 0.000049,0.000052,0.000007,0.000007,0.000615,0.000621,0.000624,0.000684,0.000698,0.000778,0.000771,0.000723,0.000589,0.000587,0.000621,0.000588,0.000620,0.000708,0.000792,0.000934,0.000005,0.000004
 23 | 0.000049,0.000048,0.000009,0.000008,0.000637,0.000650,0.000592,0.000689,0.000814,0.000685,0.000778,0.000824,0.000554,0.000667,0.000733,0.000637,0.000766,0.000852,0.000777,0.000694,0.000004,0.000003
 24 | 0.000034,0.000044,0.000008,0.000007,0.000609,0.000605,0.000666,0.000707,0.000737,0.000809,0.000783,0.000733,0.000676,0.000630,0.000664,0.000777,0.000667,0.000899,0.000791,0.000910,0.000007,0.000006
 25 | 0.000054,0.000059,0.000008,0.000007,0.000674,0.000642,0.000593,0.000780,0.000643,0.000807,0.000862,0.000764,0.000578,0.000544,0.000733,0.000624,0.000634,0.000913,0.000794,0.000801,0.000004,0.000004
 26 | 0.000068,0.000046,0.000006,0.000007,0.000662,0.000702,0.000597,0.000632,0.000683,0.000800,0.000749,0.000955,0.000599,0.000582,0.000551,0.000639,0.000806,0.000686,0.000801,0.000740,0.000004,0.000003
 27 | 0.000033,0.000037,0.000007,0.000008,0.000679,0.000603,0.000689,0.000746,0.000696,0.000673,0.000696,0.000745,0.000631,0.000626,0.000668,0.000687,0.000745,0.000714,0.000754,0.000698,0.000005,0.000004
 28 | 0.000046,0.000056,0.000011,0.000007,0.000667,0.000607,0.000711,0.000674,0.000673,0.000664,0.000890,0.000850,0.000571,0.000688,0.000624,0.000662,0.000654,0.000785,0.000660,0.000772,0.000006,0.000004
 29 | 0.000033,0.000047,0.000007,0.000007,0.000675,0.000619,0.000608,0.000702,0.000632,0.000659,0.000903,0.000815,0.000651,0.000581,0.000678,0.000625,0.000780,0.000762,0.000812,0.000906,0.000007,0.000003
 30 | 0.000097,0.000048,0.000008,0.000008,0.000675,0.000647,0.000593,0.000818,0.000729,0.000753,0.000777,0.000962,0.000693,0.000637,0.000657,0.000605,0.000639,0.000703,0.000660,0.000822,0.000004,0.000004
 31 | 0.000055,0.000066,0.000008,0.000006,0.000538,0.000657,0.000631,0.000662,0.000707,0.000683,0.000927,0.000831,0.000676,0.000614,0.000596,0.000638,0.000629,0.000840,0.000746,0.000887,0.000005,0.000004
 32 | 0.000050,0.000045,0.000007,0.000006,0.000643,0.000608,0.000538,0.000690,0.000812,0.000823,0.000856,0.000829,0.000632,0.000689,0.000686,0.000619,0.000779,0.000676,0.000756,0.000777,0.000004,0.000006
 33 | 0.000039,0.000067,0.000007,0.000007,0.000580,0.000631,0.000612,0.000635,0.000648,0.000631,0.000888,0.000852,0.000615,0.000709,0.000629,0.000576,0.000678,0.000759,0.000773,0.000815,0.000004,0.000005
 34 | 0.000054,0.000050,0.000007,0.000007,0.000611,0.000688,0.000673,0.000729,0.000707,0.000677,0.000649,0.000902,0.000668,0.000695,0.000625,0.000665,0.000697,0.000648,0.000870,0.000687,0.000004,0.000004
 35 | 0.000041,0.000051,0.000007,0.000007,0.000585,0.000634,0.000667,0.000752,0.000821,0.000752,0.000874,0.000865,0.000610,0.000696,0.000589,0.000631,0.000629,0.000867,0.000926,0.000867,0.000004,0.000003
 36 | 0.000076,0.000043,0.000006,0.000008,0.000675,0.000541,0.000680,0.000592,0.000659,0.000795,0.000653,0.000842,0.000593,0.000637,0.000619,0.000618,0.000622,0.000827,0.000617,0.000835,0.000004,0.000006
 37 | 0.000055,0.000046,0.000008,0.000006,0.000671,0.000638,0.000675,0.000539,0.000645,0.000845,0.000695,0.000776,0.000666,0.000673,0.000604,0.000656,0.000708,0.000631,0.000851,0.000899,0.000004,0.000004
 38 | 0.000049,0.000045,0.000007,0.000008,0.000653,0.000595,0.000675,0.000628,0.000708,0.000735,0.000798,0.000920,0.000643,0.000555,0.000570,0.000721,0.000679,0.000705,0.000691,0.000699,0.000004,0.000003
 39 | 0.000048,0.000048,0.000006,0.000007,0.000667,0.000660,0.000602,0.000686,0.000794,0.000653,0.000843,0.000765,0.000604,0.000626,0.000667,0.000623,0.000649,0.000679,0.000639,0.000805,0.000007,0.000007
 40 | 0.000132,0.000041,0.000011,0.000007,0.000604,0.000634,0.000602,0.000589,0.000698,0.000707,0.000814,0.000695,0.000630,0.000589,0.000620,0.000675,0.000666,0.000683,0.000779,0.000919,0.000004,0.000004
 41 | 0.000047,0.000043,0.000008,0.000006,0.000557,0.000564,0.000599,0.000624,0.000758,0.000859,0.000713,0.000870,0.000646,0.000665,0.000611,0.000710,0.000733,0.000770,0.000773,0.000835,0.000006,0.000005
 42 | 0.000044,0.000048,0.000008,0.000007,0.000619,0.000686,0.000575,0.000649,0.000777,0.000800,0.000785,0.000806,0.000695,0.000604,0.000681,0.000595,0.000641,0.000737,0.000565,0.000990,0.000005,0.000004
 43 | 0.000050,0.000055,0.000006,0.000008,0.000614,0.000687,0.000675,0.000721,0.000624,0.000680,0.000586,0.000829,0.000653,0.000677,0.000682,0.000627,0.000814,0.000745,0.000785,0.000850,0.000004,0.000005
 44 | 0.000046,0.000036,0.000007,0.000008,0.000634,0.000577,0.000779,0.000613,0.000649,0.000795,0.000645,0.000888,0.000618,0.000656,0.000601,0.000744,0.000641,0.000801,0.000810,0.000716,0.000003,0.000004
 45 | 0.000084,0.000064,0.000012,0.000008,0.000696,0.000688,0.000657,0.000698,0.000838,0.000877,0.000822,0.000819,0.000701,0.000697,0.000644,0.000675,0.000755,0.000651,0.000748,0.000852,0.000007,0.000004
 46 | 0.000051,0.000037,0.000006,0.000009,0.000637,0.000681,0.000685,0.000648,0.000742,0.000819,0.000662,0.000898,0.000630,0.000675,0.000688,0.000774,0.000743,0.000708,0.000964,0.000878,0.000004,0.000004
 47 | 0.000087,0.000046,0.000006,0.000005,0.000633,0.000646,0.000605,0.000741,0.000651,0.000638,0.000834,0.000714,0.000660,0.000686,0.000694,0.000680,0.000705,0.000845,0.000876,0.000840,0.000004,0.000004
 48 | 0.000087,0.000038,0.000006,0.000007,0.000642,0.000546,0.000639,0.000694,0.000689,0.000660,0.000741,0.000695,0.000690,0.000691,0.000616,0.000602,0.000693,0.000831,0.000888,0.001003,0.000005,0.000005
 49 | 0.000035,0.000111,0.000008,0.000010,0.000667,0.000622,0.000704,0.000663,0.000633,0.000722,0.000825,0.000922,0.000691,0.000552,0.000554,0.000614,0.000632,0.000702,0.000759,0.000922,0.000004,0.000004
 50 | 0.000051,0.000048,0.000006,0.000011,0.000622,0.000594,0.000610,0.000630,0.000699,0.000688,0.000777,0.000805,0.000659,0.000611,0.000723,0.000639,0.000838,0.000803,0.000906,0.000827,0.000005,0.000003
 51 | 0.000049,0.000052,0.000007,0.000022,0.000645,0.000579,0.000660,0.000737,0.000647,0.000690,0.000739,0.000881,0.000625,0.000677,0.000602,0.000703,0.000633,0.000759,0.000630,0.000743,0.000005,0.000003
 52 | 0.000049,0.000051,0.000007,0.000008,0.000638,0.000590,0.000701,0.000606,0.000611,0.000697,0.000744,0.000951,0.000609,0.000631,0.000698,0.000681,0.000819,0.000668,0.000668,0.000927,0.000004,0.000004
 53 | 0.000050,0.000052,0.000009,0.000007,0.000628,0.000657,0.000709,0.000687,0.000723,0.000905,0.000631,0.000878,0.000662,0.000700,0.000704,0.000661,0.000755,0.000926,0.000739,0.000650,0.000003,0.000005
 54 | 0.000050,0.000055,0.000008,0.000021,0.000636,0.000613,0.000564,0.000710,0.000638,0.000863,0.000681,0.000820,0.000652,0.000662,0.000691,0.000637,0.000625,0.000786,0.000788,0.000928,0.000004,0.000024
 55 | 0.000054,0.000046,0.000006,0.000006,0.000679,0.000630,0.000668,0.000722,0.000666,0.000832,0.000655,0.000759,0.000681,0.000622,0.000679,0.000605,0.000783,0.000827,0.000774,0.000864,0.000003,0.000005
 56 | 0.000077,0.000047,0.000007,0.000007,0.000680,0.000645,0.000715,0.000674,0.000664,0.000706,0.000642,0.000898,0.000622,0.000670,0.000639,0.000651,0.000623,0.000708,0.000864,0.000999,0.000004,0.000005
 57 | 0.000049,0.000048,0.000006,0.000007,0.000613,0.000700,0.000813,0.000651,0.000616,0.000675,0.000804,0.000923,0.000682,0.000621,0.000813,0.000682,0.000646,0.000605,0.000609,0.000824,0.000004,0.000004
 58 | 0.000041,0.000047,0.000010,0.000009,0.000626,0.000661,0.000656,0.000706,0.000693,0.000731,0.000709,0.000781,0.000575,0.000696,0.000603,0.000651,0.000559,0.000646,0.000833,0.000915,0.000004,0.000005
 59 | 0.000055,0.000035,0.000007,0.000006,0.000622,0.000605,0.000679,0.000605,0.000659,0.000839,0.000749,0.000785,0.000686,0.000698,0.000654,0.000690,0.000641,0.000789,0.000935,0.000783,0.000005,0.000005
 60 | 0.000033,0.000043,0.000006,0.000006,0.000673,0.000697,0.000638,0.000611,0.000679,0.000793,0.000641,0.000846,0.000659,0.000647,0.000595,0.000665,0.000691,0.000894,0.000873,0.000799,0.000003,0.000005
 61 | 0.000047,0.000053,0.000008,0.000008,0.000600,0.000603,0.000632,0.000775,0.000804,0.000674,0.000808,0.000781,0.000658,0.000617,0.000708,0.000599,0.000720,0.000588,0.000983,0.000761,0.000004,0.000006
 62 | 0.000049,0.000053,0.000007,0.000007,0.000702,0.000653,0.000622,0.000673,0.000635,0.000693,0.000716,0.000784,0.000632,0.000649,0.000608,0.000762,0.000706,0.000782,0.000736,0.000988,0.000004,0.000005
 63 | 0.000048,0.000045,0.000009,0.000008,0.000565,0.000734,0.000709,0.000639,0.000801,0.000699,0.000629,0.000920,0.000603,0.000648,0.000673,0.000580,0.000683,0.000877,0.000693,0.000799,0.000007,0.000006
 64 | 0.000071,0.000048,0.000006,0.000007,0.000608,0.000646,0.000648,0.000756,0.000671,0.000640,0.000632,0.000832,0.000641,0.000621,0.000734,0.000675,0.000769,0.000848,0.000887,0.000839,0.000008,0.000004
 65 | 0.000040,0.000091,0.000007,0.000006,0.000593,0.000602,0.000677,0.000813,0.000642,0.000642,0.000815,0.000839,0.000656,0.000648,0.000722,0.000710,0.000698,0.000836,0.000771,0.000895,0.000005,0.000004
 66 | 0.000057,0.000040,0.000008,0.000006,0.000607,0.000587,0.000658,0.000705,0.000626,0.000828,0.000758,0.000824,0.000684,0.000526,0.000756,0.000619,0.000642,0.000793,0.000816,0.000695,0.000006,0.000005
 67 | 0.000063,0.000040,0.000010,0.000007,0.000663,0.000694,0.000671,0.000688,0.000685,0.000658,0.000894,0.000672,0.000648,0.000588,0.000649,0.000637,0.000817,0.000657,0.000753,0.000888,0.000004,0.000006
 68 | 0.000049,0.000038,0.000008,0.000007,0.000690,0.000705,0.000727,0.000627,0.000662,0.000833,0.000755,0.000750,0.000634,0.000602,0.000640,0.000683,0.000829,0.000618,0.000913,0.000863,0.000018,0.000003
 69 | 0.000089,0.000053,0.000008,0.000010,0.000720,0.000606,0.000805,0.000627,0.000622,0.000852,0.000799,0.000799,0.000626,0.000661,0.000640,0.000648,0.000763,0.000700,0.000628,0.000827,0.000004,0.000003
 70 | 0.000050,0.000046,0.000007,0.000012,0.000672,0.000680,0.000678,0.000779,0.000721,0.000778,0.000680,0.000763,0.000647,0.000598,0.000699,0.000686,0.000616,0.000796,0.000647,0.000840,0.000004,0.000005
 71 | 0.000052,0.000051,0.000006,0.000009,0.000637,0.000684,0.000615,0.000679,0.000747,0.000702,0.000671,0.000935,0.000628,0.000683,0.000685,0.000641,0.000791,0.000791,0.000851,0.000993,0.000004,0.000004
 72 | 0.000049,0.000034,0.000007,0.000009,0.000609,0.000687,0.000642,0.000663,0.000834,0.000813,0.000803,0.000863,0.000604,0.000640,0.000663,0.000644,0.000608,0.000744,0.000701,0.000926,0.000005,0.000004
 73 | 0.000112,0.000043,0.000006,0.000008,0.000589,0.000702,0.000769,0.000651,0.000731,0.000807,0.000679,0.000636,0.000624,0.000581,0.000691,0.000681,0.000724,0.000846,0.000644,0.000856,0.000006,0.000005
 74 | 0.000062,0.000070,0.000007,0.000008,0.000680,0.000559,0.000649,0.000655,0.000703,0.000706,0.000754,0.000693,0.000619,0.000601,0.000691,0.000657,0.000739,0.000689,0.000724,0.000874,0.000005,0.000004
 75 | 0.000038,0.000054,0.000006,0.000006,0.000669,0.000612,0.000603,0.000674,0.000777,0.000644,0.000845,0.000777,0.000644,0.000662,0.000683,0.000603,0.000731,0.000765,0.000700,0.000760,0.000005,0.000004
 76 | 0.000038,0.000047,0.000006,0.000009,0.000628,0.000679,0.000607,0.000572,0.000675,0.000652,0.000875,0.000892,0.000659,0.000635,0.000641,0.000602,0.000756,0.000643,0.000689,0.000900,0.000004,0.000007
 77 | 0.000046,0.000047,0.000007,0.000007,0.000585,0.000619,0.000671,0.000629,0.000677,0.000642,0.000888,0.000785,0.000665,0.000577,0.000750,0.000723,0.000622,0.000786,0.000706,0.000782,0.000005,0.000003
 78 | 0.000051,0.000053,0.000007,0.000006,0.000644,0.000677,0.000690,0.000620,0.000651,0.000652,0.000770,0.000769,0.000625,0.000645,0.000618,0.000775,0.000583,0.000884,0.000707,0.000787,0.000011,0.000003
 79 | 0.000047,0.000051,0.000007,0.000012,0.000718,0.000620,0.000619,0.000712,0.000684,0.000688,0.000839,0.000853,0.000628,0.000670,0.000671,0.000687,0.000689,0.000673,0.000728,0.000869,0.000004,0.000004
 80 | 0.000045,0.000037,0.000007,0.000007,0.000600,0.000667,0.000597,0.000742,0.000783,0.000593,0.000872,0.000745,0.000626,0.000673,0.000586,0.000793,0.000694,0.000785,0.000777,0.000913,0.000005,0.000006
 81 | 0.000047,0.000049,0.000007,0.000008,0.000694,0.000668,0.000661,0.000633,0.000788,0.000691,0.000712,0.000801,0.000673,0.000657,0.000656,0.000700,0.000735,0.000666,0.000663,0.000846,0.000004,0.000004
 82 | 0.000043,0.000048,0.000009,0.000007,0.000675,0.000599,0.000613,0.000791,0.000702,0.000702,0.000712,0.000823,0.000567,0.000624,0.000733,0.000689,0.000634,0.000632,0.000750,0.000824,0.000004,0.000003
 83 | 0.000054,0.000047,0.000009,0.000007,0.000712,0.000621,0.000631,0.000781,0.000710,0.000832,0.000819,0.000805,0.000638,0.000553,0.000685,0.000780,0.000704,0.000705,0.000599,0.000706,0.000004,0.000004
 84 | 0.000084,0.000111,0.000022,0.000007,0.000615,0.000642,0.000557,0.000640,0.000686,0.000859,0.000656,0.000642,0.000602,0.000615,0.000639,0.000642,0.000751,0.000848,0.000710,0.000842,0.000005,0.000004
 85 | 0.000050,0.000073,0.000008,0.000008,0.000638,0.000686,0.000616,0.000650,0.000729,0.000753,0.000883,0.000931,0.000603,0.000687,0.000677,0.000675,0.000620,0.000730,0.000694,0.000743,0.000004,0.000005
 86 | 0.000045,0.000055,0.000008,0.000013,0.000582,0.000628,0.000605,0.000698,0.000722,0.000714,0.000798,0.000812,0.000670,0.000641,0.000562,0.000677,0.000689,0.000648,0.000794,0.000954,0.000004,0.000005
 87 | 0.000056,0.000040,0.000006,0.000015,0.000598,0.000633,0.000638,0.000772,0.000656,0.000637,0.000903,0.000891,0.000674,0.000628,0.000611,0.000642,0.000773,0.000718,0.000845,0.000994,0.000004,0.000004
 88 | 0.000053,0.000051,0.000007,0.000007,0.000583,0.000697,0.000617,0.000828,0.000684,0.000828,0.000657,0.000908,0.000612,0.000677,0.000704,0.000603,0.000684,0.000640,0.000739,0.000785,0.000004,0.000020
 89 | 0.000055,0.000059,0.000008,0.000019,0.000606,0.000548,0.000680,0.000661,0.001337,0.000647,0.000720,0.000771,0.000699,0.000633,0.000727,0.000654,0.000811,0.001203,0.000923,0.000924,0.000006,0.000004
 90 | 0.000047,0.000045,0.000012,0.000007,0.000682,0.000687,0.000671,0.000681,0.000635,0.000682,0.000811,0.000893,0.000682,0.000684,0.000662,0.000647,0.000825,0.000681,0.000807,0.000872,0.000005,0.000008
 91 | 0.000044,0.000046,0.000007,0.000006,0.000627,0.000689,0.000671,0.000630,0.000768,0.000669,0.000697,0.000871,0.000613,0.000686,0.000686,0.000642,0.000776,0.000801,0.000790,0.000851,0.000004,0.000004
 92 | 0.000046,0.000044,0.000008,0.000007,0.000642,0.000674,0.000640,0.000762,0.000664,0.000884,0.000906,0.000793,0.000610,0.000621,0.000694,0.000801,0.000649,0.000746,0.000656,0.000664,0.000004,0.000004
 93 | 0.000067,0.000045,0.000009,0.000008,0.000709,0.000653,0.000659,0.000629,0.000693,0.000683,0.000945,0.000807,0.000649,0.000655,0.000672,0.000807,0.000730,0.000668,0.000764,0.000740,0.000006,0.000004
 94 | 0.000041,0.000043,0.000010,0.000007,0.000687,0.000608,0.000695,0.000692,0.000648,0.000898,0.000788,0.000947,0.000694,0.000641,0.000661,0.000764,0.000653,0.000779,0.000685,0.000832,0.000005,0.000005
 95 | 0.000044,0.000038,0.000007,0.000008,0.000600,0.000668,0.000689,0.000779,0.000680,0.000662,0.000659,0.000844,0.000673,0.000652,0.000705,0.000669,0.000740,0.000797,0.000687,0.001041,0.000003,0.000004
 96 | 0.000044,0.000045,0.000008,0.000007,0.000655,0.000657,0.000653,0.000828,0.000665,0.000693,0.000826,0.000911,0.000688,0.000692,0.000658,0.000711,0.000658,0.000636,0.000668,0.000833,0.000004,0.000005
 97 | 0.000041,0.000056,0.000007,0.000007,0.000660,0.000627,0.000650,0.000664,0.000673,0.000755,0.000674,0.000888,0.000683,0.000646,0.000733,0.000635,0.000768,0.000830,0.000692,0.000863,0.000003,0.000006
 98 | 0.000044,0.000081,0.000008,0.000010,0.000554,0.000673,0.000652,0.000659,0.000646,0.000750,0.000804,0.000998,0.000699,0.000639,0.000648,0.000658,0.000791,0.000829,0.000977,0.000782,0.000004,0.000004
 99 | 0.000043,0.000050,0.000008,0.000010,0.000664,0.000687,0.000626,0.000670,0.000781,0.000711,0.000709,0.000747,0.000659,0.000654,0.000672,0.000681,0.000691,0.000728,0.000929,0.000970,0.000005,0.000004
100 | 0.000043,0.000041,0.000007,0.000007,0.000665,0.000675,0.000718,0.000630,0.000691,0.000755,0.000679,0.000799,0.000672,0.000667,0.000692,0.000688,0.000683,0.000650,0.000729,0.000799,0.000003,0.000004
101 | 0.000041,0.000080,0.000006,0.000007,0.000692,0.000626,0.000667,0.000618,0.000791,0.000853,0.000764,0.000899,0.000675,0.000623,0.000654,0.000652,0.000657,0.000759,0.000865,0.000656,0.000005,0.000004
102 | 


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/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_10000.csv:
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  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.000408,0.000372,0.000064,0.000055,0.000598,0.000648,0.000688,0.000626,0.000782,0.000618,0.000664,0.000817,0.000686,0.000893,0.000603,0.000649,0.000665,0.000770,0.001152,0.000902,0.000095,0.000041
  3 | 0.000411,0.000479,0.000057,0.000055,0.000657,0.000621,0.000688,0.000711,0.000644,0.000604,0.000722,0.000767,0.000647,0.000697,0.000667,0.000607,0.000588,0.000632,0.000820,0.000835,0.000028,0.000033
  4 | 0.000377,0.000422,0.000057,0.000065,0.000697,0.000599,0.000671,0.000674,0.000780,0.000668,0.000873,0.000788,0.000620,0.000695,0.000632,0.000677,0.000630,0.000694,0.000689,0.000944,0.000025,0.000029
  5 | 0.000383,0.000321,0.000108,0.000061,0.000658,0.000648,0.000684,0.000677,0.000804,0.000733,0.000772,0.000781,0.000683,0.000601,0.000627,0.000639,0.000691,0.000782,0.000644,0.000871,0.000029,0.000029
  6 | 0.000397,0.000457,0.000061,0.000085,0.000664,0.000596,0.000627,0.000688,0.000629,0.000660,0.000766,0.000811,0.000615,0.000675,0.000727,0.000741,0.000661,0.000660,0.000878,0.000840,0.000029,0.000028
  7 | 0.000357,0.000362,0.000062,0.000054,0.000597,0.000634,0.000678,0.000691,0.000719,0.000783,0.000879,0.000882,0.000688,0.000626,0.000682,0.000631,0.000638,0.000777,0.000694,0.000901,0.000030,0.000030
  8 | 0.000477,0.000407,0.000109,0.000054,0.000629,0.000622,0.000682,0.000555,0.000842,0.000734,0.000773,0.000614,0.000683,0.000655,0.000615,0.000614,0.000645,0.000673,0.000670,0.000740,0.000031,0.000032
  9 | 0.000387,0.000320,0.000061,0.000053,0.000641,0.000605,0.000707,0.000740,0.000599,0.000703,0.000731,0.000863,0.000690,0.000647,0.000755,0.000649,0.000664,0.000762,0.000861,0.000762,0.000030,0.000027
 10 | 0.000463,0.000365,0.000056,0.000089,0.000624,0.000601,0.000540,0.000711,0.000676,0.000675,0.000678,0.000818,0.000666,0.000697,0.000671,0.000638,0.000721,0.000600,0.000857,0.000913,0.000028,0.000036
 11 | 0.000399,0.000415,0.000056,0.000085,0.000638,0.000648,0.000676,0.000655,0.000631,0.000640,0.000765,0.000676,0.000656,0.000702,0.000603,0.000578,0.000654,0.000662,0.000808,0.000814,0.000052,0.000034
 12 | 0.000359,0.000439,0.000058,0.000054,0.000698,0.000633,0.000660,0.000726,0.000716,0.000690,0.000685,0.000821,0.000678,0.000677,0.000617,0.000793,0.000613,0.000629,0.000773,0.000798,0.000031,0.000031
 13 | 0.000415,0.000405,0.000070,0.000063,0.000645,0.000717,0.000550,0.000648,0.000772,0.000786,0.000731,0.000764,0.000706,0.000671,0.000644,0.000789,0.000719,0.000668,0.000657,0.000678,0.000029,0.000034
 14 | 0.000458,0.000341,0.000064,0.000054,0.000681,0.000702,0.000717,0.000699,0.000699,0.000785,0.000814,0.000798,0.000640,0.000600,0.000723,0.000782,0.000739,0.000744,0.000661,0.000886,0.000059,0.000070
 15 | 0.000423,0.000473,0.000072,0.000104,0.000639,0.000668,0.000643,0.000662,0.000789,0.000656,0.000694,0.000887,0.000635,0.000634,0.000614,0.000691,0.000818,0.000602,0.000748,0.000638,0.000029,0.000031
 16 | 0.000470,0.000492,0.000062,0.000088,0.000722,0.000630,0.000606,0.000733,0.000816,0.000727,0.000561,0.000889,0.000760,0.000622,0.000707,0.000561,0.000573,0.000881,0.000778,0.000926,0.000028,0.000042
 17 | 0.000341,0.000438,0.000057,0.000063,0.000634,0.000683,0.000675,0.000653,0.000712,0.000587,0.001044,0.000839,0.000624,0.000671,0.000634,0.000599,0.000768,0.000741,0.000838,0.000845,0.000024,0.000023
 18 | 0.000342,0.000423,0.000054,0.000050,0.000629,0.000696,0.000652,0.000853,0.000640,0.000895,0.000732,0.000705,0.000630,0.000677,0.000719,0.000700,0.000628,0.000641,0.000783,0.000773,0.000027,0.000027
 19 | 0.000459,0.000428,0.000048,0.000056,0.000724,0.000534,0.000670,0.000723,0.000575,0.000638,0.000694,0.000732,0.000678,0.000658,0.000671,0.000666,0.000849,0.000669,0.000736,0.000850,0.000027,0.000025
 20 | 0.000354,0.000390,0.000058,0.000054,0.000684,0.000642,0.000650,0.000779,0.000713,0.000661,0.000966,0.000835,0.000689,0.000617,0.000740,0.000623,0.000669,0.000680,0.000692,0.000851,0.000023,0.000057
 21 | 0.000377,0.000358,0.000054,0.000060,0.000635,0.000644,0.000815,0.000714,0.000629,0.000669,0.000931,0.000827,0.000655,0.000701,0.000613,0.000653,0.000860,0.000700,0.000831,0.000835,0.000027,0.000026
 22 | 0.000442,0.000372,0.000055,0.000069,0.000661,0.000620,0.000590,0.000642,0.000767,0.000732,0.000712,0.000810,0.000573,0.000592,0.000658,0.000741,0.000635,0.000728,0.000720,0.000919,0.000023,0.000025
 23 | 0.000468,0.000369,0.000086,0.000049,0.000702,0.000658,0.000645,0.000633,0.000666,0.000647,0.000880,0.000849,0.000654,0.000650,0.000624,0.000610,0.000783,0.000591,0.000593,0.000913,0.000025,0.000034
 24 | 0.000399,0.000380,0.000050,0.000058,0.000636,0.000607,0.000695,0.000667,0.000555,0.000777,0.000810,0.000659,0.000657,0.000625,0.000687,0.000744,0.000679,0.000655,0.000762,0.000948,0.000025,0.000023
 25 | 0.000422,0.000377,0.000058,0.000052,0.000621,0.000690,0.000697,0.000653,0.000718,0.000661,0.000913,0.000799,0.000670,0.000656,0.000693,0.000662,0.000636,0.000734,0.000719,0.000753,0.000025,0.000025
 26 | 0.000432,0.000407,0.000103,0.000048,0.000643,0.000637,0.000635,0.000699,0.000845,0.000569,0.000734,0.000794,0.000690,0.000645,0.000590,0.000631,0.000696,0.000783,0.000628,0.000644,0.000024,0.000023
 27 | 0.000417,0.000397,0.000056,0.000060,0.000738,0.000707,0.000608,0.000624,0.000666,0.000769,0.000816,0.000812,0.000643,0.000688,0.000639,0.000773,0.000697,0.000650,0.000834,0.000831,0.000025,0.000028
 28 | 0.000346,0.000473,0.000048,0.000056,0.000668,0.000675,0.000671,0.000603,0.000705,0.000724,0.000708,0.000935,0.000667,0.000673,0.000602,0.000619,0.000635,0.000853,0.000658,0.000817,0.000029,0.000028
 29 | 0.000353,0.000394,0.000054,0.000066,0.000603,0.000690,0.000650,0.000710,0.000659,0.000796,0.000789,0.000802,0.000624,0.000664,0.000652,0.000626,0.000806,0.000800,0.000652,0.000868,0.000037,0.000055
 30 | 0.000428,0.000425,0.000049,0.000048,0.000603,0.000679,0.000684,0.000664,0.000703,0.000812,0.000815,0.000859,0.000752,0.000600,0.000671,0.000834,0.000657,0.000855,0.000619,0.000937,0.000026,0.000061
 31 | 0.000440,0.000432,0.000054,0.000067,0.000664,0.000663,0.000698,0.000640,0.000557,0.000693,0.000900,0.000822,0.000658,0.000652,0.000632,0.000756,0.000693,0.000835,0.000600,0.000887,0.000024,0.000027
 32 | 0.000413,0.000418,0.000048,0.000053,0.000647,0.000689,0.000652,0.000713,0.000762,0.000807,0.000634,0.000873,0.000633,0.000682,0.000638,0.000636,0.000710,0.000685,0.000876,0.000807,0.000023,0.000025
 33 | 0.000464,0.000349,0.000049,0.000055,0.000626,0.000663,0.000679,0.000654,0.000739,0.000626,0.000739,0.000841,0.000606,0.000677,0.000679,0.000677,0.000833,0.000806,0.000790,0.000766,0.000026,0.000023
 34 | 0.000523,0.000356,0.000059,0.000050,0.000692,0.000670,0.000789,0.000659,0.000770,0.000603,0.000766,0.000768,0.000618,0.000737,0.000597,0.000736,0.000676,0.000700,0.000724,0.000833,0.000026,0.000028
 35 | 0.000387,0.000398,0.000048,0.000049,0.000642,0.000614,0.000684,0.000628,0.000623,0.000602,0.000890,0.000735,0.000690,0.000568,0.000670,0.000760,0.000615,0.000825,0.000722,0.000810,0.000025,0.000026
 36 | 0.000351,0.000360,0.000049,0.000045,0.000640,0.000611,0.000672,0.000683,0.000731,0.000643,0.000840,0.000752,0.000694,0.000620,0.000659,0.000624,0.000599,0.000658,0.000812,0.000949,0.000029,0.000023
 37 | 0.000367,0.000370,0.000054,0.000077,0.000705,0.000652,0.000694,0.000803,0.000689,0.000671,0.000847,0.000667,0.000646,0.000618,0.000668,0.000606,0.000727,0.000823,0.000739,0.000785,0.000023,0.000026
 38 | 0.000376,0.000369,0.000059,0.000055,0.000631,0.000617,0.000651,0.000731,0.000719,0.000623,0.000917,0.000831,0.000604,0.000647,0.000688,0.000709,0.000819,0.000802,0.000645,0.000860,0.000026,0.000024
 39 | 0.000363,0.000420,0.000079,0.000058,0.000700,0.000639,0.000711,0.000706,0.000554,0.000777,0.000716,0.000832,0.000654,0.000669,0.000624,0.000685,0.000655,0.000841,0.001022,0.000780,0.000024,0.000029
 40 | 0.000342,0.000400,0.000049,0.000052,0.000689,0.000671,0.000651,0.000609,0.000665,0.000709,0.000713,0.000926,0.000610,0.000638,0.000689,0.000673,0.000686,0.000793,0.000795,0.000747,0.000029,0.000026
 41 | 0.000315,0.000446,0.000051,0.000055,0.000689,0.000681,0.000655,0.000607,0.000702,0.000598,0.000763,0.000794,0.000625,0.000656,0.000742,0.000667,0.000695,0.000865,0.000630,0.000690,0.000023,0.000023
 42 | 0.000392,0.000398,0.000054,0.000053,0.000661,0.000696,0.000726,0.000673,0.000813,0.000702,0.000773,0.000816,0.000683,0.000684,0.000715,0.000684,0.000742,0.000723,0.000723,0.000772,0.000024,0.000047
 43 | 0.000385,0.000664,0.000051,0.000081,0.000717,0.000650,0.000697,0.000644,0.001064,0.000703,0.000844,0.000823,0.000665,0.000630,0.000672,0.000675,0.000825,0.000803,0.000846,0.000801,0.000026,0.000039
 44 | 0.000434,0.000505,0.000048,0.000049,0.000633,0.000657,0.000600,0.000634,0.000682,0.000683,0.000851,0.000623,0.000644,0.000698,0.000656,0.000628,0.000683,0.000753,0.000637,0.000739,0.000024,0.000027
 45 | 0.000453,0.000421,0.000069,0.000051,0.000690,0.000697,0.000619,0.000730,0.000645,0.000668,0.000903,0.000915,0.000672,0.000611,0.000633,0.000683,0.000786,0.000770,0.000801,0.000768,0.000028,0.000030
 46 | 0.000444,0.000433,0.000048,0.000050,0.000667,0.000636,0.000611,0.000729,0.000680,0.000874,0.000791,0.000825,0.000665,0.000652,0.000723,0.000645,0.000633,0.000808,0.000776,0.000839,0.000025,0.000029
 47 | 0.000444,0.000441,0.000053,0.000059,0.000638,0.000695,0.000620,0.000550,0.000601,0.000670,0.000816,0.000952,0.000635,0.000696,0.000693,0.000728,0.000697,0.000657,0.000797,0.000895,0.000023,0.000023
 48 | 0.000430,0.000476,0.000064,0.000049,0.000609,0.000693,0.000597,0.000654,0.000762,0.000719,0.000824,0.000950,0.000617,0.000667,0.000700,0.000735,0.000618,0.000635,0.000709,0.000778,0.000025,0.000023
 49 | 0.000408,0.000398,0.000049,0.000055,0.000567,0.000724,0.000662,0.000608,0.000702,0.000637,0.000874,0.000827,0.000646,0.000621,0.000673,0.000752,0.000685,0.000690,0.000832,0.000844,0.000030,0.000023
 50 | 0.000378,0.000363,0.000055,0.000056,0.000682,0.000591,0.000675,0.000641,0.000656,0.000628,0.000835,0.000800,0.000704,0.000705,0.000671,0.000750,0.000624,0.000612,0.000686,0.000908,0.000031,0.000024
 51 | 0.000423,0.000351,0.000063,0.000052,0.000648,0.000592,0.000574,0.000723,0.000822,0.000758,0.000816,0.000649,0.000627,0.000649,0.000650,0.000674,0.000805,0.000698,0.000717,0.000819,0.000029,0.000053
 52 | 0.000510,0.000421,0.000063,0.000096,0.000705,0.000596,0.000612,0.000729,0.000749,0.000678,0.000764,0.000748,0.000606,0.000630,0.000635,0.000650,0.000635,0.000685,0.000754,0.000856,0.000026,0.000025
 53 | 0.000418,0.000524,0.000053,0.000049,0.000646,0.000685,0.000684,0.000750,0.000674,0.000893,0.000709,0.000744,0.000677,0.000588,0.000702,0.000755,0.000741,0.000616,0.000829,0.000890,0.000029,0.000024
 54 | 0.000399,0.000396,0.000049,0.000083,0.000716,0.000751,0.000678,0.000644,0.000709,0.000736,0.000786,0.000917,0.000707,0.000597,0.000672,0.000640,0.000629,0.000762,0.000781,0.000847,0.000025,0.000031
 55 | 0.000480,0.000448,0.000052,0.000050,0.000599,0.000598,0.000679,0.000712,0.000756,0.000812,0.000758,0.000904,0.000615,0.000595,0.000639,0.000618,0.000650,0.000758,0.000824,0.000774,0.000035,0.000024
 56 | 0.000421,0.000415,0.000054,0.000048,0.000665,0.000649,0.000733,0.000796,0.000741,0.000641,0.000808,0.000715,0.000627,0.000607,0.000651,0.000749,0.000677,0.000750,0.000644,0.000915,0.000037,0.000025
 57 | 0.000332,0.000385,0.000083,0.000049,0.000574,0.000622,0.000746,0.000728,0.000791,0.000806,0.000786,0.000851,0.000637,0.000673,0.000635,0.000679,0.000648,0.000682,0.000881,0.000729,0.000025,0.000031
 58 | 0.000376,0.000402,0.000053,0.000060,0.000656,0.000677,0.000686,0.000670,0.000795,0.000814,0.000745,0.000804,0.000641,0.000655,0.000639,0.000750,0.000652,0.000814,0.000814,0.000938,0.000024,0.000026
 59 | 0.000432,0.000497,0.000051,0.000060,0.000724,0.000640,0.000653,0.000602,0.000839,0.000704,0.000845,0.000797,0.000626,0.000657,0.000660,0.000631,0.000698,0.000636,0.000830,0.000835,0.000026,0.000027
 60 | 0.000349,0.000447,0.000055,0.000069,0.000617,0.000637,0.000679,0.000768,0.000705,0.000766,0.000672,0.000801,0.000671,0.000649,0.000744,0.000771,0.000723,0.000710,0.000705,0.000821,0.000024,0.000031
 61 | 0.000366,0.000402,0.000058,0.000055,0.000715,0.000709,0.000690,0.000662,0.000708,0.000711,0.000882,0.000891,0.000650,0.000583,0.000677,0.000718,0.000660,0.000627,0.000860,0.000893,0.000029,0.000025
 62 | 0.000338,0.000375,0.000059,0.000049,0.000642,0.000614,0.000620,0.000675,0.000630,0.000886,0.000720,0.000865,0.000616,0.000710,0.000664,0.000676,0.000742,0.000802,0.000753,0.000982,0.000038,0.000026
 63 | 0.000474,0.000448,0.000064,0.000076,0.000651,0.000679,0.000666,0.000654,0.000706,0.000857,0.000724,0.000843,0.000710,0.000641,0.000650,0.000626,0.000679,0.000615,0.000896,0.000655,0.000044,0.000032
 64 | 0.000414,0.000380,0.000054,0.000055,0.000676,0.000701,0.000701,0.000572,0.000824,0.000689,0.000719,0.000936,0.000643,0.000629,0.000581,0.000793,0.000640,0.000884,0.000903,0.000869,0.000024,0.000025
 65 | 0.000362,0.000343,0.000050,0.000055,0.000719,0.000711,0.000622,0.000694,0.000836,0.000686,0.000713,0.000983,0.000688,0.000616,0.000699,0.000575,0.000697,0.000761,0.000766,0.000949,0.000027,0.000025
 66 | 0.000364,0.000400,0.000055,0.000049,0.000639,0.000711,0.000677,0.000657,0.000622,0.000625,0.000667,0.000824,0.000644,0.000664,0.000640,0.000699,0.000713,0.000694,0.000813,0.000759,0.000031,0.000027
 67 | 0.000459,0.000360,0.000049,0.000055,0.000713,0.000667,0.000618,0.000673,0.000641,0.000702,0.000645,0.000802,0.000636,0.000692,0.000794,0.000658,0.000733,0.000726,0.000728,0.000807,0.000026,0.000039
 68 | 0.000393,0.000379,0.000084,0.000047,0.000681,0.000643,0.000616,0.000632,0.000750,0.000724,0.000793,0.000822,0.000636,0.000623,0.000648,0.000703,0.000633,0.000664,0.000687,0.000853,0.000025,0.000024
 69 | 0.000413,0.000432,0.000060,0.000057,0.000632,0.000639,0.000633,0.000622,0.000752,0.000819,0.000693,0.000711,0.000753,0.000712,0.000766,0.000604,0.000678,0.000803,0.000707,0.000901,0.000028,0.000025
 70 | 0.000400,0.000502,0.000049,0.000091,0.000697,0.000588,0.000653,0.000614,0.000858,0.000824,0.000779,0.000886,0.000662,0.000610,0.000705,0.000685,0.000691,0.000575,0.000777,0.000946,0.000025,0.000023
 71 | 0.000399,0.000340,0.000056,0.000067,0.000685,0.000713,0.000632,0.000775,0.000687,0.000670,0.000735,0.000796,0.000657,0.000638,0.000700,0.000601,0.000665,0.000769,0.000809,0.000793,0.000024,0.000024
 72 | 0.000395,0.000426,0.000056,0.000048,0.000609,0.000622,0.000690,0.000555,0.000628,0.000690,0.000849,0.000848,0.000669,0.000651,0.000768,0.000672,0.000685,0.000717,0.000857,0.000696,0.000027,0.000026
 73 | 0.000400,0.000362,0.000083,0.000053,0.000605,0.000630,0.000687,0.000684,0.000661,0.000824,0.000698,0.000774,0.000682,0.000703,0.000637,0.000747,0.000784,0.000847,0.000810,0.000826,0.000030,0.000026
 74 | 0.000401,0.000396,0.000048,0.000054,0.000622,0.000620,0.000706,0.000776,0.000665,0.000652,0.000681,0.000860,0.000654,0.000699,0.000648,0.000793,0.000674,0.000741,0.000810,0.000705,0.000023,0.000022
 75 | 0.000480,0.000345,0.000056,0.000071,0.000649,0.000626,0.000619,0.000655,0.000738,0.000563,0.000637,0.000847,0.000666,0.000661,0.000683,0.000586,0.000664,0.000600,0.000828,0.000833,0.000026,0.000024
 76 | 0.000325,0.000320,0.000045,0.000045,0.000671,0.000704,0.000646,0.000699,0.000787,0.000790,0.000751,0.000958,0.000676,0.000647,0.000620,0.000715,0.000643,0.000688,0.000886,0.000869,0.000054,0.000025
 77 | 0.000362,0.000409,0.000054,0.000050,0.000661,0.000617,0.000674,0.000788,0.000654,0.000873,0.000621,0.000801,0.000707,0.000648,0.000747,0.000672,0.000587,0.000720,0.000738,0.000646,0.000027,0.000029
 78 | 0.000415,0.000465,0.000056,0.000048,0.000662,0.000701,0.000781,0.000653,0.000594,0.000678,0.000804,0.000829,0.000710,0.000710,0.000621,0.000699,0.000626,0.000759,0.000812,0.000913,0.000023,0.000023
 79 | 0.000349,0.000386,0.000053,0.000062,0.000604,0.000621,0.000621,0.000647,0.000743,0.000817,0.000752,0.000808,0.000696,0.000693,0.000715,0.000668,0.000845,0.000689,0.000848,0.000647,0.000023,0.000023
 80 | 0.000347,0.000390,0.000057,0.000048,0.000687,0.000663,0.000650,0.000661,0.000636,0.000813,0.000813,0.000754,0.000719,0.000514,0.000728,0.000683,0.000653,0.000706,0.000655,0.000867,0.000023,0.000023
 81 | 0.000429,0.000460,0.000049,0.000052,0.000618,0.000606,0.000679,0.000591,0.000708,0.000648,0.000667,0.000773,0.000646,0.000671,0.000713,0.000664,0.000792,0.000723,0.000858,0.000760,0.000023,0.000076
 82 | 0.000393,0.000413,0.000049,0.000049,0.000640,0.000634,0.000610,0.000674,0.000711,0.000685,0.000706,0.000912,0.000608,0.000622,0.000707,0.000664,0.000859,0.000885,0.000739,0.000749,0.000024,0.000026
 83 | 0.000419,0.000364,0.000069,0.000056,0.000700,0.000690,0.000682,0.000673,0.000651,0.000696,0.000886,0.000791,0.000650,0.000587,0.000627,0.000721,0.000622,0.000800,0.000835,0.000891,0.000023,0.000025
 84 | 0.000394,0.000405,0.000434,0.000063,0.000719,0.000655,0.000652,0.000693,0.000635,0.000699,0.000853,0.000735,0.000598,0.001263,0.000768,0.000669,0.001016,0.000669,0.000912,0.000748,0.000024,0.000031
 85 | 0.000410,0.000402,0.000052,0.000052,0.000659,0.000645,0.000753,0.000656,0.000691,0.000677,0.000817,0.000932,0.000592,0.000679,0.000653,0.000807,0.000849,0.000694,0.000680,0.000971,0.000024,0.000025
 86 | 0.000395,0.000401,0.000055,0.000055,0.000677,0.000719,0.000640,0.000596,0.000667,0.000686,0.000726,0.000879,0.000664,0.000630,0.000670,0.000702,0.000700,0.000882,0.000929,0.000769,0.000024,0.000025
 87 | 0.000372,0.000298,0.000055,0.000054,0.000681,0.000667,0.000680,0.000678,0.000790,0.000710,0.000668,0.000907,0.000711,0.000653,0.000698,0.000642,0.000802,0.000651,0.000752,0.000964,0.000029,0.000024
 88 | 0.000388,0.000423,0.000056,0.000054,0.000649,0.000672,0.000648,0.000708,0.000704,0.000645,0.000749,0.000747,0.000676,0.000705,0.000705,0.000744,0.000781,0.000793,0.000794,0.001002,0.000025,0.000026
 89 | 0.000417,0.000434,0.000058,0.000048,0.000715,0.000699,0.000628,0.000652,0.000703,0.000672,0.000822,0.000806,0.000689,0.000671,0.000690,0.000692,0.000648,0.000824,0.000666,0.000805,0.000026,0.000026
 90 | 0.000411,0.000410,0.000056,0.000056,0.000697,0.000721,0.000667,0.000686,0.000867,0.000701,0.000768,0.000941,0.000690,0.000645,0.000599,0.000620,0.000636,0.000695,0.000626,0.000821,0.000025,0.000025
 91 | 0.000346,0.000389,0.000066,0.000075,0.000671,0.000715,0.000683,0.000640,0.000678,0.000686,0.000635,0.000768,0.000678,0.000673,0.000717,0.000660,0.000718,0.000827,0.000703,0.000935,0.000028,0.000025
 92 | 0.000330,0.000416,0.000050,0.000083,0.000713,0.000701,0.000664,0.000693,0.000778,0.000651,0.000868,0.000832,0.000700,0.000593,0.000659,0.000653,0.000666,0.000733,0.000829,0.000809,0.000025,0.000026
 93 | 0.000400,0.000399,0.000059,0.000055,0.000712,0.000717,0.000674,0.000646,0.000797,0.000656,0.000658,0.000668,0.000674,0.000643,0.000631,0.000647,0.000699,0.000810,0.000759,0.000848,0.000024,0.000025
 94 | 0.000395,0.000374,0.000066,0.000057,0.000673,0.000625,0.000669,0.000787,0.000838,0.000887,0.000724,0.000806,0.000669,0.000704,0.000698,0.000659,0.000663,0.000661,0.000676,0.000729,0.000024,0.000026
 95 | 0.000390,0.000358,0.000050,0.000049,0.000662,0.000730,0.000699,0.000714,0.000771,0.000783,0.000794,0.000765,0.000708,0.000679,0.000683,0.000624,0.000656,0.000692,0.000774,0.000781,0.000024,0.000025
 96 | 0.000415,0.000417,0.000084,0.000060,0.000698,0.000651,0.000667,0.000627,0.000669,0.000693,0.000796,0.000754,0.000717,0.000659,0.000687,0.000651,0.000639,0.000731,0.000673,0.000654,0.000026,0.000023
 97 | 0.000392,0.000323,0.000059,0.000078,0.000693,0.000710,0.000711,0.000754,0.000668,0.000742,0.000699,0.000915,0.000634,0.000678,0.000651,0.000704,0.000629,0.000653,0.000869,0.000896,0.000029,0.000025
 98 | 0.000394,0.000364,0.000069,0.000056,0.000650,0.000649,0.000751,0.000668,0.000691,0.000783,0.000670,0.000739,0.000671,0.000657,0.000745,0.000679,0.000714,0.000702,0.000705,0.000974,0.000025,0.000028
 99 | 0.000367,0.000393,0.000055,0.000084,0.000627,0.000666,0.000655,0.000791,0.000768,0.000767,0.000667,0.000925,0.000666,0.000610,0.000684,0.000631,0.000816,0.000670,0.000685,0.000915,0.000029,0.000026
100 | 0.000409,0.000390,0.000086,0.000051,0.000645,0.000617,0.000719,0.000753,0.000640,0.000670,0.000662,0.000924,0.000724,0.000655,0.000710,0.000644,0.000687,0.000656,0.000779,0.000768,0.000023,0.000038
101 | 0.000434,0.000404,0.000081,0.000053,0.000675,0.000655,0.000719,0.000683,0.000643,0.000813,0.000743,0.000657,0.000708,0.000721,0.000644,0.000633,0.000785,0.000666,0.000802,0.000860,0.000023,0.000029
102 | 


--------------------------------------------------------------------------------
/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_100000.csv:
--------------------------------------------------------------------------------
  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.004036,0.003329,0.000637,0.000529,0.000835,0.000910,0.000672,0.000758,0.000749,0.000727,0.000756,0.000865,0.000933,0.000718,0.000784,0.000715,0.000846,0.000923,0.000979,0.001175,0.000308,0.000255
  3 | 0.003817,0.004104,0.000527,0.000575,0.000930,0.000771,0.000794,0.000761,0.000948,0.000776,0.000738,0.000922,0.000890,0.000869,0.000704,0.000753,0.000794,0.000669,0.000827,0.000944,0.000304,0.000261
  4 | 0.003571,0.004072,0.000554,0.000568,0.000947,0.000876,0.000761,0.000711,0.000810,0.000747,0.000847,0.000847,0.000864,0.000956,0.000806,0.000769,0.000871,0.000924,0.000860,0.000971,0.000234,0.000328
  5 | 0.004143,0.003818,0.000526,0.000613,0.000923,0.000800,0.000749,0.000746,0.000775,0.000847,0.000943,0.000906,0.000857,0.000857,0.000692,0.000684,0.000788,0.000835,0.000724,0.000943,0.000253,0.000284
  6 | 0.003906,0.003706,0.000598,0.000589,0.000898,0.000783,0.000803,0.000720,0.000915,0.000874,0.000736,0.000908,0.000852,0.000721,0.000849,0.000699,0.000724,0.000817,0.000817,0.000969,0.000290,0.000312
  7 | 0.004025,0.003888,0.000724,0.000540,0.000900,0.000729,0.000830,0.000854,0.000806,0.000749,0.000948,0.000997,0.000920,0.000745,0.000823,0.000754,0.000744,0.000992,0.000720,0.000987,0.000308,0.000284
  8 | 0.006748,0.004219,0.000917,0.000487,0.000975,0.000829,0.000775,0.000784,0.000686,0.000830,0.000733,0.000806,0.000893,0.000785,0.001884,0.000873,0.000844,0.000744,0.000896,0.000927,0.000299,0.000225
  9 | 0.004092,0.003886,0.000718,0.000637,0.000937,0.000781,0.000801,0.000703,0.000700,0.000671,0.000867,0.000760,0.000951,0.000753,0.000814,0.000891,0.000898,0.000745,0.000907,0.000866,0.000407,0.000329
 10 | 0.004283,0.003938,0.000616,0.000685,0.000892,0.000816,0.000710,0.000745,0.000694,0.000781,0.000840,0.000861,0.000904,0.000667,0.000749,0.000829,0.000735,0.000713,0.000701,0.000935,0.000462,0.000340
 11 | 0.004238,0.003965,0.000629,0.000678,0.000841,0.000841,0.000765,0.000795,0.000856,0.000803,0.000714,0.000802,0.000909,0.000849,0.000751,0.000856,0.000705,0.000733,0.000837,0.000833,0.000357,0.000278
 12 | 0.004265,0.004119,0.000653,0.000643,0.000928,0.000742,0.000706,0.000756,0.000768,0.000840,0.000799,0.000937,0.000912,0.000776,0.000775,0.000728,0.000748,0.000898,0.000923,0.000945,0.000395,0.000375
 13 | 0.004061,0.003889,0.000652,0.000683,0.000889,0.000742,0.000832,0.000742,0.000678,0.000672,0.000766,0.000736,0.000916,0.000764,0.000762,0.000721,0.000839,0.000706,0.000856,0.000926,0.000287,0.000294
 14 | 0.004139,0.004392,0.000604,0.000572,0.000938,0.000834,0.000833,0.000841,0.000772,0.000775,0.000753,0.000980,0.000927,0.000926,0.000880,0.000808,0.000680,0.000883,0.000684,0.000948,0.000373,0.000308
 15 | 0.004033,0.004176,0.000530,0.000716,0.000892,0.000857,0.000785,0.000810,0.000699,0.000888,0.000940,0.000905,0.000908,0.000843,0.000728,0.000777,0.000913,0.000871,0.000928,0.000747,0.000262,0.000263
 16 | 0.003459,0.004047,0.000574,0.000719,0.000911,0.000791,0.000772,0.000741,0.000725,0.000707,0.000832,0.000922,0.000954,0.000744,0.000809,0.000853,0.000845,0.000836,0.000737,0.000703,0.000286,0.000293
 17 | 0.004405,0.004297,0.000565,0.000570,0.000923,0.000871,0.000784,0.001074,0.000793,0.000760,0.000793,0.000919,0.000893,0.000815,0.000815,0.000809,0.000907,0.000859,0.000881,0.000833,0.000292,0.000236
 18 | 0.004341,0.004219,0.000468,0.000550,0.000781,0.000800,0.000849,0.000791,0.000699,0.000783,0.000665,0.000921,0.000877,0.000802,0.000749,0.000858,0.000758,0.000754,0.000902,0.000779,0.000269,0.000280
 19 | 0.004433,0.004215,0.000580,0.000631,0.000884,0.000770,0.000796,0.000773,0.000785,0.000851,0.000838,0.001020,0.000752,0.000757,0.000705,0.000750,0.000897,0.000713,0.000870,0.000973,0.000362,0.000206
 20 | 0.003986,0.004243,0.000584,0.000542,0.000875,0.000821,0.000800,0.000844,0.000754,0.000850,0.000870,0.000929,0.000976,0.000895,0.000733,0.000675,0.000743,0.000820,0.000750,0.000770,0.000273,0.000214
 21 | 0.003882,0.004151,0.000617,0.000540,0.000747,0.000855,0.000674,0.000807,0.000775,0.000743,0.000816,0.001030,0.000920,0.000741,0.000774,0.000787,0.000826,0.000715,0.000789,0.000948,0.000256,0.000271
 22 | 0.004397,0.004392,0.000564,0.000469,0.000900,0.000816,0.000858,0.000741,0.000939,0.000761,0.000923,0.000836,0.000890,0.000800,0.000843,0.000826,0.000897,0.000874,0.000848,0.000720,0.000240,0.000341
 23 | 0.004134,0.004024,0.000584,0.000579,0.000898,0.000897,0.000753,0.000705,0.000799,0.000739,0.000810,0.000930,0.000878,0.000787,0.000863,0.000810,0.000743,0.000856,0.000833,0.000980,0.000345,0.000211
 24 | 0.004324,0.004272,0.000502,0.000506,0.000888,0.000874,0.000824,0.000847,0.000811,0.000804,0.000931,0.000859,0.000936,0.000779,0.000895,0.000781,0.000745,0.000753,0.000849,0.000814,0.000217,0.000377
 25 | 0.004385,0.003975,0.000526,0.000443,0.000784,0.000799,0.000718,0.000682,0.000728,0.000780,0.000775,0.000912,0.000909,0.000899,0.000727,0.000829,0.000846,0.000689,0.000847,0.000862,0.000288,0.000280
 26 | 0.004411,0.003510,0.000521,0.000474,0.000909,0.000783,0.000826,0.000832,0.000798,0.000777,0.000794,0.000884,0.000799,0.000815,0.000785,0.000728,0.000743,0.000725,0.000928,0.000862,0.000288,0.000319
 27 | 0.003514,0.004263,0.000527,0.000503,0.000920,0.000806,0.000796,0.000748,0.000711,0.000748,0.000802,0.000853,0.000880,0.000838,0.000824,0.000790,0.000899,0.000820,0.000689,0.000822,0.000208,0.000262
 28 | 0.004273,0.004220,0.000533,0.000603,0.000977,0.000855,0.000802,0.000683,0.000750,0.000681,0.000806,0.000764,0.000846,0.000715,0.000907,0.000716,0.000701,0.000819,0.000938,0.000978,0.000253,0.000287
 29 | 0.003689,0.004135,0.000530,0.000595,0.000827,0.000840,0.000785,0.000758,0.000798,0.000871,0.000827,0.000922,0.000897,0.000797,0.000889,0.000793,0.000691,0.000726,0.001051,0.000849,0.000218,0.000207
 30 | 0.004480,0.004103,0.000618,0.000527,0.000838,0.000852,0.000840,0.000711,0.000884,0.000723,0.000757,0.000989,0.000873,0.000713,0.000664,0.000719,0.000691,0.000750,0.001042,0.000977,0.000228,0.000250
 31 | 0.004397,0.004049,0.000595,0.000514,0.000917,0.000853,0.000753,0.000810,0.000762,0.000745,0.000854,0.000887,0.000880,0.000782,0.000807,0.000863,0.000917,0.000760,0.000977,0.000804,0.000315,0.000350
 32 | 0.004072,0.004102,0.000600,0.000509,0.000815,0.000801,0.000891,0.000718,0.000822,0.000753,0.000825,0.000863,0.000939,0.000796,0.000822,0.000747,0.000733,0.000783,0.000910,0.000883,0.000249,0.000292
 33 | 0.004093,0.004222,0.000557,0.000526,0.000790,0.000784,0.000818,0.000729,0.000800,0.000834,0.000835,0.001034,0.000833,0.000841,0.000774,0.000742,0.000876,0.000758,0.000962,0.000878,0.000291,0.000218
 34 | 0.003419,0.004043,0.000576,0.000481,0.000957,0.000941,0.000749,0.000686,0.000696,0.000913,0.000740,0.000946,0.000830,0.000719,0.000911,0.000768,0.000804,0.000740,0.000747,0.000840,0.000288,0.000257
 35 | 0.004374,0.003992,0.000554,0.000601,0.000874,0.000795,0.000786,0.000785,0.000756,0.000825,0.000696,0.000861,0.000884,0.000790,0.000792,0.000748,0.000910,0.000812,0.000973,0.000950,0.000310,0.000232
 36 | 0.004251,0.003371,0.000570,0.000590,0.000766,0.000769,0.000784,0.000774,0.000790,0.000852,0.000855,0.000847,0.000856,0.000797,0.000885,0.000721,0.000898,0.000741,0.000689,0.000856,0.000295,0.000218
 37 | 0.003591,0.004181,0.000518,0.000472,0.000886,0.000856,0.000696,0.000827,0.000818,0.000734,0.000789,0.000938,0.000827,0.000803,0.000855,0.000903,0.000801,0.000803,0.000947,0.000983,0.000325,0.000224
 38 | 0.003882,0.003451,0.000526,0.000525,0.000914,0.000764,0.000812,0.000733,0.000778,0.000864,0.000989,0.000990,0.000882,0.000799,0.000838,0.000746,0.000791,0.000866,0.000932,0.000793,0.000252,0.000206
 39 | 0.004307,0.004286,0.000528,0.000563,0.000836,0.000767,0.000903,0.000754,0.000981,0.000893,0.000732,0.000960,0.000964,0.000809,0.000739,0.000694,0.000815,0.000910,0.000754,0.000858,0.000281,0.000299
 40 | 0.003805,0.003664,0.000616,0.000646,0.000872,0.000835,0.000738,0.000725,0.000797,0.000721,0.000846,0.000871,0.000882,0.000768,0.000732,0.000759,0.000795,0.000815,0.000887,0.000942,0.000298,0.000214
 41 | 0.004062,0.004465,0.000593,0.000542,0.000817,0.000875,0.000802,0.000814,0.000771,0.000898,0.000877,0.000779,0.000904,0.000905,0.000851,0.000713,0.000809,0.000706,0.000866,0.000947,0.000279,0.000207
 42 | 0.004311,0.004143,0.000575,0.000571,0.000888,0.000894,0.000756,0.000695,0.000776,0.000754,0.000757,0.001007,0.000873,0.000786,0.000848,0.000798,0.000773,0.000876,0.000859,0.000848,0.000333,0.000207
 43 | 0.003935,0.004232,0.000681,0.000605,0.000792,0.000918,0.000731,0.000707,0.000794,0.000803,0.000845,0.001076,0.000916,0.000945,0.000739,0.000710,0.000744,0.000823,0.001003,0.000949,0.000273,0.000216
 44 | 0.004139,0.004255,0.000572,0.000582,0.000892,0.000770,0.000942,0.000743,0.000756,0.000914,0.000704,0.001051,0.000887,0.000895,0.000724,0.000864,0.000661,0.000881,0.000936,0.000833,0.000230,0.000285
 45 | 0.003797,0.003882,0.000566,0.000563,0.000812,0.000740,0.000828,0.000905,0.000719,0.000692,0.000733,0.000939,0.000882,0.000775,0.000756,0.000724,0.000743,0.000718,0.000863,0.000836,0.000214,0.000260
 46 | 0.004337,0.003996,0.000562,0.000532,0.000906,0.000803,0.000795,0.000836,0.000764,0.000685,0.000808,0.000947,0.000895,0.000851,0.000845,0.000769,0.000872,0.000724,0.000847,0.000883,0.000274,0.000214
 47 | 0.004346,0.003591,0.000581,0.000506,0.000871,0.000858,0.000914,0.000803,0.000876,0.000835,0.000778,0.000900,0.000876,0.001030,0.000879,0.000769,0.000890,0.000806,0.000910,0.000943,0.000216,0.000267
 48 | 0.004298,0.003781,0.000562,0.000529,0.000833,0.000922,0.000777,0.000755,0.000694,0.000805,0.000968,0.000933,0.000910,0.000946,0.000766,0.000799,0.000778,0.000912,0.000837,0.000943,0.000307,0.000279
 49 | 0.004146,0.004331,0.000618,0.000551,0.000826,0.000815,0.000810,0.000766,0.000718,0.000777,0.000703,0.000845,0.000996,0.000758,0.000744,0.000785,0.000728,0.000716,0.000716,0.000832,0.000211,0.000239
 50 | 0.004373,0.004167,0.000584,0.000558,0.000860,0.000813,0.000740,0.000825,0.000856,0.000871,0.000846,0.000970,0.000867,0.000782,0.000699,0.000785,0.000812,0.000784,0.000796,0.000939,0.000240,0.000268
 51 | 0.004190,0.003889,0.000542,0.000593,0.000927,0.000857,0.000784,0.000874,0.000791,0.000742,0.000842,0.000920,0.000749,0.000854,0.000820,0.000730,0.000745,0.000690,0.000716,0.000815,0.000222,0.000329
 52 | 0.004298,0.003865,0.000530,0.000459,0.000870,0.000813,0.000908,0.000817,0.000898,0.000724,0.000962,0.000986,0.000868,0.000804,0.000801,0.000802,0.000849,0.000787,0.000900,0.000849,0.000214,0.000213
 53 | 0.004239,0.004233,0.000572,0.000541,0.000853,0.000715,0.000863,0.000760,0.000705,0.000924,0.000907,0.000873,0.000896,0.000838,0.000789,0.000733,0.000792,0.000764,0.000668,0.000830,0.000271,0.000296
 54 | 0.003946,0.004110,0.000597,0.000520,0.000859,0.000839,0.000659,0.000772,0.000851,0.000903,0.000747,0.000857,0.000898,0.000793,0.000741,0.000758,0.000746,0.000855,0.000860,0.000939,0.000299,0.000237
 55 | 0.003715,0.004325,0.000665,0.000493,0.000878,0.000774,0.000728,0.000862,0.000696,0.000858,0.000865,0.000654,0.000845,0.000792,0.000838,0.000671,0.000751,0.000896,0.000883,0.000749,0.000215,0.000276
 56 | 0.004084,0.004426,0.000616,0.000623,0.000895,0.000785,0.000813,0.000810,0.000707,0.000718,0.000932,0.000899,0.000879,0.000731,0.000741,0.000749,0.000895,0.000810,0.000660,0.000975,0.000295,0.000214
 57 | 0.004039,0.004377,0.000495,0.000558,0.000894,0.000748,0.000693,0.000870,0.000909,0.000785,0.000829,0.000811,0.000873,0.000880,0.000770,0.000826,0.000783,0.000707,0.000795,0.000738,0.000214,0.000362
 58 | 0.003821,0.003252,0.000507,0.000536,0.000862,0.000844,0.000840,0.000748,0.000800,0.000729,0.000776,0.001004,0.000929,0.000880,0.000692,0.000702,0.000679,0.000774,0.000679,0.000915,0.000246,0.000284
 59 | 0.004240,0.004036,0.000570,0.000529,0.000812,0.000746,0.000846,0.000672,0.000845,0.000883,0.000673,0.000971,0.000863,0.000796,0.000866,0.000681,0.000822,0.000739,0.000803,0.000707,0.000314,0.000277
 60 | 0.004087,0.004051,0.000472,0.000510,0.000918,0.000804,0.000809,0.000806,0.000875,0.000729,0.000783,0.000842,0.000871,0.000855,0.000808,0.000855,0.000703,0.000821,0.000931,0.000918,0.000268,0.000219
 61 | 0.004259,0.004192,0.000616,0.000611,0.000892,0.000794,0.000832,0.000693,0.000966,0.000861,0.000887,0.000665,0.000859,0.000740,0.000825,0.000683,0.000743,0.000676,0.000980,0.000906,0.000258,0.000219
 62 | 0.003987,0.004258,0.000474,0.000550,0.000820,0.000945,0.000813,0.000770,0.000783,0.000913,0.000847,0.000921,0.000842,0.000848,0.000800,0.000797,0.000820,0.000739,0.000740,0.000862,0.000211,0.000228
 63 | 0.004418,0.004361,0.000527,0.000475,0.000915,0.000749,0.000870,0.000791,0.000708,0.000806,0.000959,0.000988,0.000817,0.000847,0.000799,0.000798,0.000900,0.000757,0.000813,0.001050,0.000217,0.000207
 64 | 0.004029,0.004222,0.000624,0.000555,0.001120,0.000920,0.005249,0.000786,0.000691,0.000765,0.000890,0.001033,0.000947,0.000845,0.000772,0.000839,0.000762,0.000754,0.000938,0.000876,0.000247,0.000263
 65 | 0.004141,0.003972,0.001609,0.000626,0.000860,0.001046,0.000827,0.000867,0.000829,0.000773,0.000772,0.000887,0.000836,0.000855,0.000845,0.000829,0.000746,0.000963,0.000739,0.000857,0.000246,0.000271
 66 | 0.003725,0.004046,0.000564,0.000662,0.000908,0.000855,0.000796,0.000782,0.000808,0.000923,0.000970,0.000736,0.000895,0.000852,0.000852,0.000800,0.000863,0.000843,0.000877,0.000882,0.000277,0.000246
 67 | 0.004230,0.004051,0.000497,0.000600,0.000824,0.000929,0.000866,0.000726,0.000975,0.000777,0.000844,0.000871,0.000964,0.000800,0.000859,0.000746,0.000739,0.000906,0.000747,0.000952,0.000221,0.000249
 68 | 0.003726,0.003861,0.000629,0.000583,0.000876,0.000996,0.000738,0.000869,0.000816,0.000748,0.000852,0.000990,0.000761,0.000882,0.000773,0.000771,0.000821,0.000731,0.000873,0.001021,0.000309,0.000255
 69 | 0.003681,0.004279,0.000586,0.000513,0.000918,0.000797,0.000743,0.000768,0.000698,0.000933,0.000904,0.000879,0.000875,0.000798,0.000836,0.000807,0.000923,0.000866,0.000733,0.000934,0.000314,0.000210
 70 | 0.003939,0.004330,0.000632,0.000571,0.000833,0.000891,0.000799,0.000703,0.000806,0.000824,0.000841,0.000898,0.000887,0.000862,0.000799,0.000792,0.000790,0.000878,0.000890,0.000929,0.000272,0.000261
 71 | 0.004212,0.003999,0.000538,0.000443,0.000891,0.000892,0.000800,0.000704,0.000736,0.000728,0.000885,0.000886,0.000932,0.000884,0.000791,0.000859,0.000801,0.000918,0.000932,0.000988,0.000225,0.000254
 72 | 0.003566,0.004044,0.000600,0.000441,0.000929,0.000793,0.000750,0.000786,0.000745,0.001018,0.000750,0.000887,0.000849,0.000871,0.000779,0.000762,0.000743,0.000772,0.000764,0.000900,0.000266,0.000273
 73 | 0.004266,0.004233,0.000529,0.000515,0.000918,0.000857,0.000812,0.000843,0.000715,0.000936,0.000915,0.000846,0.000909,0.000854,0.000773,0.000764,0.000908,0.000750,0.000830,0.000848,0.000334,0.000229
 74 | 0.003975,0.004331,0.000612,0.000603,0.000901,0.000884,0.000806,0.000852,0.000867,0.000777,0.000842,0.000911,0.000835,0.000894,0.000844,0.000686,0.000755,0.000883,0.000843,0.000871,0.000313,0.000275
 75 | 0.003815,0.004200,0.000587,0.000470,0.000909,0.000848,0.000829,0.000851,0.000921,0.000783,0.000753,0.000983,0.000868,0.000872,0.000761,0.000809,0.000861,0.000779,0.000907,0.000944,0.000246,0.000252
 76 | 0.004346,0.004194,0.000574,0.000543,0.000922,0.000853,0.000757,0.000912,0.000821,0.000786,0.000944,0.000881,0.000938,0.000861,0.000732,0.000788,0.000835,0.000657,0.000945,0.000947,0.000277,0.000216
 77 | 0.004316,0.004083,0.000541,0.000604,0.000932,0.000835,0.000839,0.000882,0.000777,0.000682,0.000875,0.000844,0.000897,0.000861,0.000697,0.000784,0.000757,0.000831,0.000882,0.000931,0.000271,0.000307
 78 | 0.004289,0.004271,0.000559,0.000517,0.000927,0.000845,0.000880,0.000814,0.000710,0.000900,0.000886,0.000827,0.000853,0.000754,0.000786,0.000798,0.000919,0.000930,0.000798,0.000833,0.000280,0.000227
 79 | 0.004394,0.004010,0.000512,0.000459,0.000927,0.000867,0.000829,0.000764,0.000752,0.000766,0.000657,0.000995,0.000869,0.001041,0.000750,0.000816,0.000850,0.000771,0.000735,0.000938,0.000277,0.000234
 80 | 0.004059,0.004078,0.000601,0.000528,0.000922,0.000888,0.000764,0.000794,0.000791,0.000895,0.000919,0.000803,0.000901,0.000879,0.000960,0.000805,0.000805,0.000746,0.000793,0.000839,0.000239,0.000234
 81 | 0.004137,0.004132,0.000567,0.000546,0.000966,0.000778,0.000795,0.000752,0.000739,0.000913,0.000816,0.001007,0.000875,0.000758,0.000770,0.000867,0.000759,0.000733,0.000756,0.000845,0.000270,0.000270
 82 | 0.003591,0.004022,0.000544,0.000519,0.000915,0.000879,0.000827,0.000764,0.000783,0.000791,0.000776,0.000926,0.000906,0.000733,0.000855,0.000777,0.000765,0.000722,0.000756,0.000871,0.000273,0.000236
 83 | 0.003575,0.003944,0.000522,0.000550,0.000895,0.000779,0.000756,0.000903,0.000737,0.000746,0.000876,0.000811,0.000850,0.000806,0.000794,0.000698,0.000864,0.000746,0.000748,0.001001,0.000207,0.000217
 84 | 0.003818,0.004143,0.000538,0.000532,0.000922,0.000844,0.000902,0.000780,0.000745,0.000778,0.001012,0.000978,0.000883,0.000843,0.000784,0.000782,0.000777,0.000827,0.000852,0.000881,0.000220,0.000246
 85 | 0.004390,0.004307,0.000611,0.000526,0.000908,0.000996,0.000791,0.000839,0.000719,0.000810,0.000896,0.000847,0.000861,0.000860,0.000760,0.000865,0.000800,0.000812,0.000838,0.000846,0.000240,0.000252
 86 | 0.004114,0.004270,0.000483,0.000703,0.000939,0.000881,0.000864,0.000965,0.000832,0.000905,0.000915,0.000823,0.000910,0.001035,0.000798,0.000845,0.000856,0.000871,0.000897,0.000681,0.000251,0.000285
 87 | 0.003854,0.004144,0.000577,0.000572,0.000859,0.000948,0.000840,0.000683,0.000869,0.000776,0.000780,0.000941,0.000967,0.000912,0.000881,0.000820,0.000810,0.000927,0.000842,0.000812,0.000277,0.000211
 88 | 0.003470,0.004040,0.000614,0.000603,0.000913,0.000859,0.000784,0.000919,0.000871,0.000735,0.000964,0.000818,0.000918,0.000823,0.000780,0.000710,0.000777,0.000758,0.000818,0.000937,0.000285,0.000267
 89 | 0.004355,0.004019,0.000582,0.000529,0.000839,0.000853,0.000727,0.000790,0.000839,0.000734,0.000771,0.000803,0.000898,0.000778,0.000825,0.000834,0.000719,0.000827,0.000788,0.000883,0.000332,0.000234
 90 | 0.004324,0.004016,0.000556,0.000569,0.000970,0.000750,0.000757,0.000810,0.000759,0.000904,0.000823,0.000805,0.000884,0.000795,0.000788,0.000882,0.000856,0.000790,0.000778,0.000982,0.000262,0.000289
 91 | 0.003888,0.004068,0.000592,0.000560,0.000787,0.000756,0.000913,0.000792,0.000735,0.000793,0.000791,0.000973,0.000915,0.000878,0.000821,0.000813,0.000772,0.000851,0.000744,0.000987,0.000207,0.000255
 92 | 0.004057,0.004353,0.000614,0.000654,0.000861,0.000870,0.000945,0.000794,0.000811,0.000843,0.000981,0.000816,0.000894,0.000983,0.000863,0.000848,0.000741,0.000732,0.000717,0.000867,0.000214,0.000284
 93 | 0.003714,0.004254,0.000680,0.000650,0.000883,0.000899,0.000758,0.000857,0.000829,0.000746,0.000770,0.000776,0.000871,0.000854,0.000864,0.000797,0.000818,0.000912,0.000818,0.000986,0.000224,0.000211
 94 | 0.004211,0.004020,0.000614,0.000545,0.000840,0.000807,0.000816,0.000792,0.000779,0.000924,0.000930,0.000819,0.000926,0.000922,0.000751,0.000911,0.000838,0.000724,0.000845,0.000865,0.000239,0.000206
 95 | 0.003896,0.004246,0.000618,0.000559,0.000904,0.000766,0.000923,0.000869,0.000870,0.000760,0.000740,0.000989,0.000952,0.000902,0.000835,0.000732,0.000783,0.000792,0.000844,0.000978,0.000297,0.000271
 96 | 0.003793,0.004022,0.000509,0.000550,0.000917,0.000843,0.000788,0.000899,0.000744,0.000784,0.000930,0.000992,0.000917,0.000796,0.000833,0.000738,0.000765,0.000866,0.000718,0.000802,0.000206,0.000246
 97 | 0.004190,0.003976,0.000528,0.000604,0.000847,0.000863,0.000790,0.000817,0.000697,0.000765,0.000830,0.000887,0.000844,0.000812,0.000822,0.000778,0.000865,0.000863,0.000761,0.000898,0.000287,0.000207
 98 | 0.003550,0.004078,0.000597,0.000589,0.000866,0.000787,0.000806,0.000806,0.000882,0.000850,0.000954,0.000882,0.000830,0.000848,0.000793,0.000740,0.000743,0.000842,0.001053,0.000770,0.000256,0.000268
 99 | 0.003876,0.003586,0.000446,0.000591,0.000946,0.000843,0.000855,0.000728,0.000793,0.000763,0.000812,0.000751,0.000914,0.000814,0.000735,0.000761,0.000763,0.000774,0.000885,0.001100,0.000275,0.000221
100 | 0.004025,0.004071,0.000552,0.000487,0.000920,0.000812,0.000872,0.000786,0.000888,0.000784,0.000883,0.001022,0.000850,0.000917,0.000801,0.000827,0.000868,0.000924,0.000738,0.001058,0.000206,0.000211
101 | 0.003901,0.004222,0.000508,0.000479,0.000901,0.000840,0.000759,0.000899,0.000951,0.000826,0.000739,0.000926,0.000956,0.000904,0.000985,0.000800,0.000728,0.000846,0.000913,0.000917,0.000242,0.000247
102 | 


--------------------------------------------------------------------------------
/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_1000000.csv:
--------------------------------------------------------------------------------
  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.040705,0.033342,0.010254,0.009513,0.006806,0.005045,0.003106,0.003608,0.002237,0.002022,0.001573,0.002102,0.006580,0.004460,0.003292,0.003171,0.002379,0.001877,0.002277,0.002257,0.006370,0.006192
  3 | 0.033912,0.035475,0.010808,0.010128,0.007053,0.004368,0.003117,0.002515,0.002286,0.002865,0.001973,0.002247,0.006609,0.003960,0.002967,0.002562,0.002388,0.002406,0.002257,0.002585,0.006179,0.006587
  4 | 0.039303,0.034262,0.014934,0.010623,0.007349,0.004360,0.003151,0.002763,0.002815,0.002538,0.002005,0.002972,0.006985,0.004240,0.003312,0.002727,0.003151,0.002509,0.002135,0.002065,0.009163,0.006188
  5 | 0.041189,0.038371,0.014842,0.013464,0.007616,0.004598,0.003695,0.002553,0.002748,0.002192,0.002273,0.002795,0.009031,0.004576,0.003988,0.002937,0.002775,0.002865,0.001987,0.001889,0.006358,0.007070
  6 | 0.038962,0.038618,0.013349,0.013720,0.007566,0.004677,0.002971,0.002691,0.002979,0.002216,0.001928,0.001989,0.009202,0.004660,0.003175,0.002728,0.002807,0.002175,0.002739,0.002726,0.007538,0.008533
  7 | 0.038278,0.038585,0.013687,0.013143,0.008189,0.005372,0.002857,0.003289,0.002975,0.002507,0.002515,0.002759,0.007733,0.003355,0.003993,0.002853,0.002886,0.002380,0.002849,0.002029,0.007093,0.007760
  8 | 0.040922,0.039443,0.012629,0.013742,0.007321,0.004964,0.003792,0.003770,0.002170,0.001998,0.002356,0.002618,0.007222,0.003275,0.003373,0.003829,0.002132,0.002910,0.003102,0.002373,0.008767,0.006151
  9 | 0.037710,0.036167,0.053306,0.011877,0.067852,0.004785,0.003925,0.002796,0.002714,0.002855,0.004009,0.002184,0.006852,0.004931,0.003033,0.003086,0.002543,0.002166,0.002210,0.001948,0.008918,0.006861
 10 | 0.043636,0.036206,0.010401,0.010582,0.007286,0.003519,0.002923,0.002336,0.002504,0.002760,0.002073,0.002455,0.006647,0.005254,0.003178,0.002604,0.002810,0.002397,0.001836,0.002318,0.006574,0.006363
 11 | 0.037174,0.035090,0.010276,0.009881,0.007506,0.004168,0.002540,0.002524,0.002714,0.002252,0.002649,0.002239,0.006259,0.004493,0.003390,0.002798,0.002271,0.003015,0.002293,0.002122,0.006829,0.006470
 12 | 0.037662,0.037888,0.010517,0.009880,0.006593,0.003619,0.002880,0.003045,0.002415,0.002292,0.002529,0.002792,0.006622,0.004628,0.003917,0.002541,0.002464,0.002798,0.002540,0.002452,0.006682,0.006260
 13 | 0.036188,0.037498,0.010750,0.010071,0.007138,0.005487,0.003475,0.002775,0.002452,0.002382,0.002555,0.001986,0.006729,0.004187,0.002950,0.002866,0.002377,0.002243,0.002967,0.001987,0.006282,0.006015
 14 | 0.036252,0.037213,0.011160,0.009998,0.007391,0.004958,0.002904,0.002719,0.002857,0.002127,0.002725,0.001979,0.006966,0.004802,0.003105,0.003242,0.002281,0.002824,0.002706,0.002148,0.006738,0.006331
 15 | 0.035556,0.037169,0.011027,0.010269,0.007024,0.005028,0.003208,0.002768,0.002570,0.002745,0.002739,0.002377,0.006532,0.004403,0.003540,0.002593,0.002653,0.002037,0.002436,0.002110,0.006654,0.006177
 16 | 0.037387,0.035716,0.010815,0.010080,0.007384,0.004484,0.002489,0.002666,0.002595,0.002315,0.001955,0.002426,0.006817,0.004074,0.003368,0.002528,0.002367,0.002497,0.002542,0.002258,0.006659,0.006462
 17 | 0.034115,0.035964,0.010514,0.010415,0.006542,0.005505,0.003610,0.002744,0.003021,0.003080,0.002501,0.002236,0.006887,0.004327,0.003408,0.002730,0.002694,0.002332,0.002067,0.002324,0.006466,0.006110
 18 | 0.036571,0.037084,0.010370,0.009976,0.007160,0.003779,0.003269,0.002371,0.001931,0.002037,0.002028,0.002619,0.006515,0.004054,0.003029,0.002251,0.002771,0.002445,0.002667,0.002364,0.006359,0.005874
 19 | 0.037974,0.037561,0.010340,0.009915,0.007021,0.003759,0.003584,0.002580,0.002294,0.002759,0.002070,0.002039,0.006355,0.004200,0.003385,0.002811,0.002470,0.001810,0.002445,0.001729,0.006104,0.005718
 20 | 0.036011,0.037602,0.010992,0.010085,0.007269,0.005528,0.002530,0.002680,0.002498,0.002806,0.002351,0.002944,0.006822,0.003496,0.003133,0.002403,0.002238,0.002618,0.002095,0.002278,0.005890,0.005916
 21 | 0.037346,0.036356,0.010665,0.010219,0.007363,0.004781,0.003290,0.003030,0.002472,0.002604,0.001922,0.002289,0.006191,0.004611,0.003109,0.002487,0.002607,0.002585,0.001981,0.002372,0.006060,0.005877
 22 | 0.037185,0.045549,0.013273,0.010137,0.007344,0.005060,0.003119,0.002629,0.002394,0.002412,0.002075,0.002352,0.006910,0.003807,0.002920,0.003107,0.010875,0.002586,0.002647,0.002366,0.006341,0.006270
 23 | 0.034679,0.037498,0.010588,0.009817,0.006880,0.004156,0.003056,0.002539,0.002364,0.002378,0.002187,0.002144,0.006922,0.004063,0.003097,0.002702,0.002603,0.002197,0.002578,0.002323,0.006313,0.006058
 24 | 0.035445,0.037871,0.010488,0.009908,0.007066,0.004351,0.003509,0.002645,0.002349,0.002053,0.002000,0.002391,0.006753,0.004384,0.002749,0.002817,0.002034,0.002370,0.002056,0.002030,0.006527,0.006375
 25 | 0.038556,0.032947,0.012477,0.011553,0.007360,0.005005,0.002831,0.002499,0.002874,0.002531,0.002076,0.002198,0.007098,0.004596,0.003780,0.002745,0.002612,0.002052,0.002726,0.002305,0.007165,0.006266
 26 | 0.036037,0.036302,0.010460,0.010386,0.006653,0.004254,0.002556,0.002078,0.002152,0.002174,0.002081,0.002040,0.006922,0.004485,0.003430,0.002310,0.002508,0.002323,0.001963,0.002392,0.006738,0.006244
 27 | 0.040067,0.035467,0.011709,0.010749,0.007283,0.004083,0.002503,0.003153,0.003210,0.002079,0.002302,0.002042,0.006826,0.004756,0.003473,0.002579,0.002843,0.002097,0.002677,0.001980,0.006711,0.006245
 28 | 0.035822,0.039059,0.010776,0.010058,0.007358,0.004435,0.002584,0.002245,0.002227,0.002363,0.002301,0.002656,0.006588,0.004722,0.003509,0.003123,0.002763,0.002385,0.002093,0.002368,0.006542,0.006409
 29 | 0.036342,0.036883,0.010632,0.010375,0.007385,0.004137,0.003076,0.002354,0.002340,0.002483,0.002288,0.002302,0.006280,0.003595,0.002825,0.002562,0.002630,0.002420,0.002062,0.002061,0.006764,0.006097
 30 | 0.036450,0.036151,0.010850,0.010891,0.006772,0.004201,0.003076,0.002701,0.002674,0.001923,0.002287,0.002459,0.006913,0.003763,0.002795,0.002679,0.002206,0.002306,0.002256,0.001961,0.007054,0.006365
 31 | 0.037913,0.037494,0.010719,0.010498,0.006994,0.004247,0.003209,0.002788,0.002654,0.002453,0.002463,0.002486,0.007058,0.004124,0.003145,0.002542,0.002271,0.002056,0.002155,0.001894,0.006806,0.006236
 32 | 0.037131,0.035194,0.010465,0.010449,0.007475,0.004130,0.003699,0.002695,0.002713,0.002687,0.002037,0.002172,0.006577,0.004698,0.003341,0.002809,0.002755,0.002178,0.001963,0.001776,0.006250,0.006205
 33 | 0.036866,0.036111,0.010834,0.010610,0.007091,0.004997,0.003225,0.002624,0.002438,0.002327,0.002326,0.002081,0.006387,0.003949,0.003273,0.003721,0.002415,0.002301,0.002276,0.002600,0.006565,0.005933
 34 | 0.035951,0.036779,0.010989,0.010486,0.007411,0.004486,0.003828,0.003151,0.002338,0.002290,0.002293,0.002227,0.006904,0.004142,0.003167,0.002687,0.002395,0.002321,0.002208,0.002520,0.006574,0.005883
 35 | 0.036197,0.039121,0.010816,0.010515,0.007502,0.003619,0.003256,0.002217,0.002773,0.002476,0.002395,0.002274,0.007256,0.004561,0.003677,0.002586,0.002409,0.002363,0.002309,0.002204,0.006868,0.006166
 36 | 0.037737,0.037378,0.010677,0.010100,0.007295,0.004471,0.002563,0.002527,0.002201,0.002120,0.002289,0.002215,0.006984,0.004511,0.003107,0.002643,0.002343,0.002330,0.002363,0.002451,0.006063,0.005781
 37 | 0.033248,0.035390,0.010970,0.010415,0.007092,0.004773,0.004113,0.002524,0.002485,0.002202,0.002472,0.002061,0.006216,0.003910,0.003340,0.002773,0.002507,0.002303,0.002424,0.002212,0.006724,0.006024
 38 | 0.033355,0.036651,0.011006,0.010901,0.006875,0.004589,0.003103,0.002777,0.003078,0.002239,0.002204,0.002360,0.007073,0.004576,0.003303,0.002429,0.002401,0.002593,0.002062,0.002365,0.006531,0.006402
 39 | 0.037992,0.038028,0.017601,0.012122,0.007297,0.003626,0.003626,0.002646,0.002496,0.002130,0.002365,0.002269,0.007167,0.004455,0.003347,0.002793,0.002420,0.002209,0.010041,0.002316,0.006546,0.006036
 40 | 0.033459,0.037561,0.010654,0.010847,0.007423,0.003446,0.003615,0.002520,0.002867,0.002363,0.002234,0.002200,0.007226,0.005054,0.003542,0.003134,0.002266,0.002320,0.002652,0.002151,0.006448,0.006152
 41 | 0.037312,0.038034,0.010939,0.010066,0.007146,0.004790,0.003505,0.002873,0.002141,0.002137,0.002130,0.002452,0.007125,0.005015,0.003226,0.003000,0.002551,0.002028,0.002364,0.002217,0.006065,0.006136
 42 | 0.035242,0.037764,0.011572,0.010300,0.007594,0.003978,0.003544,0.003193,0.002543,0.002207,0.002117,0.002255,0.006894,0.004788,0.002948,0.003589,0.002552,0.002417,0.002201,0.001931,0.006517,0.005904
 43 | 0.036977,0.037388,0.011215,0.010510,0.006784,0.004273,0.003327,0.002673,0.002469,0.002528,0.002187,0.002346,0.006989,0.004657,0.003294,0.002580,0.002384,0.002371,0.002392,0.002433,0.006900,0.006646
 44 | 0.033436,0.040309,0.011305,0.011526,0.007990,0.004453,0.003450,0.003087,0.002775,0.002522,0.002385,0.002596,0.007503,0.005028,0.003925,0.002839,0.002474,0.002620,0.002266,0.002295,0.007139,0.006135
 45 | 0.035932,0.035849,0.011176,0.010563,0.007275,0.003637,0.002925,0.002740,0.002905,0.002136,0.002120,0.002259,0.006653,0.005255,0.003594,0.002892,0.002849,0.002717,0.002221,0.002238,0.006676,0.006376
 46 | 0.038235,0.034278,0.011177,0.010183,0.007746,0.005098,0.003564,0.002823,0.002932,0.002532,0.002256,0.002279,0.007907,0.005450,0.003314,0.002753,0.002293,0.002392,0.002134,0.002497,0.007555,0.006199
 47 | 0.039724,0.036999,0.010697,0.012175,0.007775,0.005282,0.003243,0.002723,0.002731,0.002298,0.002229,0.002095,0.006764,0.004798,0.003401,0.003362,0.002406,0.002233,0.002509,0.002314,0.006595,0.006863
 48 | 0.037559,0.034965,0.011066,0.010037,0.007226,0.003728,0.003831,0.002555,0.002427,0.002352,0.002565,0.002225,0.007179,0.004433,0.002795,0.002750,0.002423,0.002120,0.002014,0.002443,0.006356,0.005632
 49 | 0.036295,0.039217,0.011591,0.010432,0.006809,0.004714,0.003323,0.002703,0.002379,0.002068,0.002151,0.002424,0.006971,0.003900,0.003079,0.002610,0.002632,0.002461,0.001918,0.002284,0.006959,0.005940
 50 | 0.036062,0.035930,0.010905,0.010744,0.006640,0.004740,0.003340,0.002644,0.002424,0.002416,0.002214,0.002583,0.007002,0.004354,0.003404,0.002735,0.002263,0.002397,0.002388,0.002193,0.006733,0.006327
 51 | 0.036895,0.036015,0.011329,0.010019,0.007167,0.004621,0.003356,0.002683,0.002324,0.002015,0.002115,0.002154,0.007314,0.003496,0.003325,0.002799,0.002947,0.002117,0.002113,0.002100,0.007044,0.006316
 52 | 0.037914,0.037355,0.010567,0.010394,0.007537,0.005169,0.003219,0.002780,0.002675,0.002375,0.001906,0.002190,0.006723,0.005042,0.003360,0.002437,0.002520,0.002218,0.002321,0.002518,0.006688,0.005879
 53 | 0.036374,0.038230,0.011273,0.010099,0.007404,0.005279,0.004136,0.002844,0.002254,0.002404,0.002306,0.002391,0.007072,0.004474,0.003316,0.003462,0.002730,0.002462,0.002377,0.002021,0.006308,0.006237
 54 | 0.034266,0.033852,0.010429,0.010942,0.007512,0.004287,0.003106,0.002672,0.002139,0.002400,0.002164,0.001971,0.007047,0.004568,0.003433,0.002760,0.002330,0.002498,0.001893,0.002065,0.006920,0.006384
 55 | 0.037036,0.038158,0.010523,0.010178,0.007514,0.003467,0.002602,0.002700,0.002951,0.002162,0.002451,0.002091,0.006751,0.004657,0.002586,0.002527,0.002529,0.002246,0.002176,0.002119,0.006671,0.006309
 56 | 0.041258,0.033066,0.012998,0.012095,0.007473,0.004586,0.003459,0.002780,0.002928,0.002221,0.002625,0.002283,0.006641,0.005606,0.003500,0.002543,0.002644,0.002472,0.002246,0.002524,0.007208,0.006776
 57 | 0.038259,0.039314,0.012403,0.012586,0.008275,0.005072,0.003237,0.002550,0.002599,0.002387,0.002382,0.002373,0.007516,0.004922,0.003463,0.002842,0.002391,0.002489,0.002115,0.002458,0.007195,0.007144
 58 | 0.039782,0.039317,0.012192,0.012259,0.007640,0.004200,0.003825,0.002837,0.002228,0.002309,0.002051,0.002287,0.007487,0.005238,0.003106,0.002574,0.002336,0.002386,0.001984,0.002189,0.007133,0.006938
 59 | 0.038359,0.037254,0.012538,0.010869,0.007371,0.005080,0.004071,0.002863,0.002548,0.002457,0.002546,0.002196,0.007134,0.005125,0.003098,0.002905,0.002819,0.002777,0.002593,0.002297,0.006725,0.006208
 60 | 0.036578,0.035905,0.011191,0.009794,0.007377,0.004633,0.002878,0.002926,0.002286,0.002396,0.002290,0.002364,0.006844,0.004688,0.002617,0.002672,0.002459,0.002577,0.002313,0.001979,0.006806,0.005992
 61 | 0.037445,0.038066,0.010649,0.010232,0.007367,0.003676,0.002867,0.002504,0.002601,0.002312,0.002383,0.001800,0.007175,0.004890,0.003396,0.002681,0.002447,0.002287,0.002297,0.002274,0.006942,0.006600
 62 | 0.037596,0.034396,0.010609,0.010807,0.007168,0.005297,0.004186,0.003004,0.002661,0.002735,0.001935,0.002400,0.006684,0.004711,0.003542,0.002961,0.002496,0.002517,0.002357,0.001958,0.006516,0.006012
 63 | 0.034020,0.036871,0.010897,0.010356,0.007435,0.004973,0.003712,0.002840,0.002501,0.002755,0.001945,0.001845,0.006526,0.004773,0.003327,0.002715,0.002499,0.002194,0.002253,0.002345,0.006589,0.006412
 64 | 0.037887,0.036871,0.010184,0.010975,0.007650,0.004906,0.003224,0.003289,0.002750,0.002423,0.002129,0.001905,0.007216,0.005692,0.003662,0.002383,0.002446,0.002282,0.002192,0.002397,0.006742,0.007584
 65 | 0.038821,0.039764,0.012846,0.011582,0.007999,0.004870,0.003446,0.002532,0.002577,0.002075,0.002328,0.002194,0.007781,0.005150,0.003695,0.002705,0.002495,0.002241,0.002240,0.002062,0.007332,0.006853
 66 | 0.038496,0.037763,0.013190,0.012285,0.007764,0.004474,0.003200,0.002767,0.002491,0.002561,0.002239,0.001863,0.007352,0.003907,0.003469,0.002446,0.003111,0.002563,0.001898,0.002512,0.007227,0.006997
 67 | 0.039468,0.039671,0.012805,0.012030,0.007848,0.004587,0.003139,0.002573,0.002396,0.002361,0.002116,0.002346,0.007518,0.003753,0.003888,0.002809,0.002471,0.002579,0.002178,0.001982,0.007077,0.006705
 68 | 0.040949,0.038422,0.013268,0.012250,0.008065,0.005207,0.002871,0.003066,0.002373,0.002649,0.002050,0.002398,0.007663,0.005624,0.003511,0.002806,0.002328,0.002649,0.002383,0.002067,0.007208,0.006942
 69 | 0.039482,0.036790,0.012950,0.012684,0.008051,0.003695,0.003302,0.003166,0.002708,0.002438,0.002553,0.002176,0.007885,0.003649,0.003506,0.002612,0.002222,0.002147,0.002377,0.002404,0.007126,0.006997
 70 | 0.039631,0.039896,0.012935,0.012306,0.007853,0.004950,0.002805,0.003052,0.002739,0.002202,0.002187,0.002081,0.007747,0.005083,0.003419,0.003327,0.002470,0.002252,0.002241,0.002465,0.007460,0.006500
 71 | 0.038174,0.037601,0.012995,0.012827,0.008221,0.004817,0.003532,0.002995,0.002482,0.002492,0.002335,0.002340,0.007917,0.005388,0.003657,0.003169,0.002699,0.002364,0.002721,0.001981,0.007460,0.007315
 72 | 0.037357,0.036594,0.014386,0.012632,0.008559,0.004876,0.003584,0.002997,0.002824,0.002307,0.002276,0.002207,0.008202,0.004745,0.003558,0.003045,0.002654,0.002675,0.002573,0.002343,0.007813,0.007338
 73 | 0.035983,0.036094,0.013417,0.012489,0.008235,0.004681,0.003951,0.003202,0.002707,0.002374,0.002132,0.002548,0.007715,0.004667,0.003663,0.002836,0.002407,0.002233,0.002505,0.002499,0.007252,0.007000
 74 | 0.038519,0.036856,0.013400,0.012055,0.007978,0.004414,0.003558,0.002777,0.002865,0.002640,0.002164,0.002293,0.007625,0.004545,0.003345,0.002879,0.002557,0.002648,0.002105,0.002326,0.007369,0.006858
 75 | 0.035581,0.036978,0.013853,0.012351,0.008247,0.005049,0.003611,0.003133,0.002821,0.002308,0.002554,0.002364,0.008295,0.004798,0.003546,0.003033,0.002684,0.002625,0.002529,0.002149,0.007610,0.007569
 76 | 0.037515,0.036398,0.014057,0.012852,0.008559,0.004863,0.003533,0.003563,0.002725,0.002734,0.002795,0.002569,0.008284,0.004826,0.003537,0.002931,0.002780,0.002614,0.002652,0.002550,0.008063,0.007176
 77 | 0.036591,0.038825,0.014392,0.013370,0.008751,0.005829,0.003673,0.002918,0.003212,0.002379,0.002493,0.002353,0.008037,0.004891,0.003754,0.003011,0.002445,0.002717,0.002309,0.002449,0.008240,0.007616
 78 | 0.037580,0.036659,0.013715,0.012807,0.008230,0.005223,0.003668,0.002931,0.002703,0.002458,0.002378,0.002550,0.007972,0.004890,0.003862,0.002884,0.002860,0.002667,0.002754,0.002458,0.008026,0.007447
 79 | 0.036842,0.036721,0.013598,0.013285,0.008957,0.005013,0.003687,0.003109,0.002688,0.002510,0.002487,0.002538,0.008023,0.004767,0.003724,0.003023,0.002812,0.002496,0.002426,0.002280,0.008039,0.007501
 80 | 0.035498,0.037283,0.013287,0.012052,0.007996,0.004767,0.003413,0.002852,0.002484,0.002778,0.002413,0.002545,0.008081,0.004706,0.003871,0.003049,0.002592,0.002313,0.002283,0.002450,0.007798,0.007463
 81 | 0.037151,0.037082,0.013887,0.013509,0.008655,0.005009,0.003784,0.002912,0.002601,0.002746,0.002632,0.002376,0.008204,0.004945,0.003531,0.003037,0.002641,0.002305,0.002450,0.002598,0.008124,0.007480
 82 | 0.036707,0.034938,0.013314,0.013562,0.008479,0.004928,0.003676,0.003024,0.002647,0.002617,0.002507,0.002379,0.008257,0.004704,0.003744,0.003032,0.002728,0.002289,0.002639,0.002364,0.007260,0.007600
 83 | 0.034836,0.036013,0.011527,0.011064,0.007970,0.005012,0.003471,0.003014,0.003084,0.002867,0.002399,0.002608,0.007394,0.004868,0.003751,0.002996,0.002601,0.002303,0.002431,0.002406,0.007375,0.006794
 84 | 0.034037,0.035876,0.011848,0.011563,0.007904,0.005342,0.003569,0.003119,0.002536,0.002662,0.002499,0.002403,0.007692,0.004624,0.003578,0.002845,0.002745,0.002435,0.002463,0.002517,0.007396,0.007040
 85 | 0.034842,0.033053,0.012451,0.011412,0.007960,0.004873,0.003463,0.003422,0.003010,0.002397,0.002596,0.002503,0.007396,0.004791,0.003887,0.003114,0.002587,0.002303,0.002448,0.002479,0.007391,0.006979
 86 | 0.034505,0.035012,0.011929,0.010360,0.007429,0.004560,0.003435,0.002986,0.002774,0.002502,0.002541,0.002040,0.007568,0.004590,0.003600,0.002837,0.002692,0.002231,0.002218,0.002248,0.006696,0.006383
 87 | 0.033597,0.033934,0.011381,0.010748,0.007330,0.004396,0.003733,0.002876,0.002356,0.002373,0.002380,0.002196,0.007222,0.004648,0.003347,0.002812,0.002822,0.002582,0.002515,0.002152,0.006817,0.006363
 88 | 0.034320,0.033413,0.011974,0.010751,0.007605,0.004831,0.003333,0.003001,0.002799,0.002709,0.002034,0.002204,0.007538,0.004747,0.003473,0.002878,0.002845,0.002543,0.002360,0.002480,0.006967,0.007031
 89 | 0.034334,0.033694,0.011271,0.010949,0.007484,0.004946,0.003388,0.002984,0.002657,0.002559,0.002273,0.002448,0.007494,0.004765,0.003714,0.002971,0.002554,0.002731,0.002389,0.002359,0.007011,0.006777
 90 | 0.033743,0.033749,0.011154,0.010539,0.007534,0.004568,0.003425,0.002856,0.003054,0.002599,0.002149,0.002036,0.006917,0.004896,0.003410,0.003159,0.002836,0.002359,0.002311,0.002419,0.007143,0.006935
 91 | 0.034133,0.034932,0.012209,0.011078,0.008054,0.004952,0.003576,0.002667,0.002840,0.002487,0.002250,0.002360,0.007584,0.004810,0.003472,0.002951,0.002653,0.002457,0.002165,0.002358,0.007215,0.006804
 92 | 0.033608,0.036103,0.012085,0.012074,0.007801,0.004712,0.003711,0.003714,0.002744,0.002519,0.002396,0.002635,0.007481,0.004830,0.003735,0.003730,0.002665,0.002501,0.002419,0.002513,0.007088,0.007043
 93 | 0.034703,0.034932,0.011377,0.010994,0.008018,0.004840,0.003509,0.003245,0.002676,0.002468,0.002420,0.002455,0.007670,0.004918,0.003677,0.002818,0.002787,0.002558,0.002598,0.002342,0.007121,0.006803
 94 | 0.035438,0.033533,0.011563,0.011321,0.007785,0.004719,0.003562,0.003109,0.002557,0.002318,0.002420,0.002482,0.007463,0.004937,0.003699,0.002900,0.002572,0.002645,0.002586,0.002213,0.007201,0.006741
 95 | 0.035843,0.033497,0.010965,0.011530,0.007651,0.004593,0.003397,0.003049,0.002625,0.002562,0.002670,0.002306,0.007823,0.004933,0.003636,0.002692,0.002802,0.002871,0.002534,0.002293,0.006976,0.006482
 96 | 0.033737,0.035442,0.012332,0.012114,0.007997,0.005022,0.003726,0.002698,0.002628,0.002686,0.002312,0.002477,0.007158,0.004552,0.003010,0.003483,0.003002,0.002341,0.002386,0.002422,0.007162,0.006591
 97 | 0.033978,0.033668,0.011308,0.011077,0.008091,0.004836,0.003738,0.002846,0.003049,0.002374,0.002337,0.002674,0.007576,0.004907,0.003778,0.002889,0.002613,0.002889,0.002566,0.002375,0.007057,0.006955
 98 | 0.034693,0.034804,0.012306,0.011471,0.007986,0.004845,0.003683,0.003266,0.002699,0.002959,0.002503,0.002520,0.007368,0.004608,0.003677,0.002856,0.002581,0.002538,0.002261,0.002671,0.007189,0.007002
 99 | 0.034169,0.034942,0.011705,0.012064,0.008080,0.005061,0.003640,0.002703,0.002818,0.002641,0.002623,0.002087,0.007547,0.004654,0.003421,0.003030,0.002965,0.002792,0.002644,0.002342,0.007170,0.006807
100 | 0.033998,0.033186,0.012110,0.011293,0.007969,0.004664,0.003724,0.003242,0.002775,0.002314,0.002386,0.002172,0.007172,0.004476,0.003523,0.002929,0.002658,0.002470,0.002525,0.002467,0.006663,0.006844
101 | 0.034050,0.034342,0.012124,0.011301,0.007683,0.004781,0.003698,0.002985,0.003108,0.002751,0.002344,0.002233,0.007522,0.005026,0.003311,0.002927,0.003126,0.002306,0.002103,0.002391,0.007266,0.006705
102 | 


--------------------------------------------------------------------------------
/ListUtil_OMP_DataFiles/Xeon2597/ListUtil_OMP_10000000.csv:
--------------------------------------------------------------------------------
  1 | ForLoop_prod_num_1,ForLoop_sum_num_1,ListUtil_prod_num_1,ListUtil_sum_num_1,OMP_prod_num_01,OMP_prod_num_02,OMP_prod_num_03,OMP_prod_num_04,OMP_prod_num_05,OMP_prod_num_06,OMP_prod_num_07,OMP_prod_num_08,OMP_sum_num_01,OMP_sum_num_02,OMP_sum_num_03,OMP_sum_num_04,OMP_sum_num_05,OMP_sum_num_06,OMP_sum_num_07,OMP_sum_num_08,StC_prod_num_1,StC_sum_num_1
  2 | 0.337648,0.355061,0.139657,0.133662,0.072523,0.037582,0.027023,0.022063,0.020698,0.020420,0.019565,0.019035,0.066230,0.042006,0.024425,0.021127,0.018418,0.020590,0.018090,0.017633,0.076894,0.070461
  3 | 0.357102,0.325845,0.170002,0.276311,0.076905,0.046651,0.027002,0.121698,0.130405,0.016903,0.021987,0.014967,0.087833,0.046175,0.030377,0.031876,0.045547,0.031733,0.020690,0.028656,0.080310,0.087310
  4 | 0.376613,0.458939,0.292447,0.140549,0.091494,0.044331,0.088991,0.022472,0.017956,0.017609,0.014643,0.014534,0.115393,0.039249,0.027112,0.019783,0.023988,0.015891,0.014869,0.018969,0.065019,0.128568
  5 | 0.368452,0.363498,0.228613,0.134382,0.070234,0.042550,0.054247,0.021889,0.020715,0.016574,0.015006,0.019344,0.070014,0.039783,0.029710,0.022836,0.020225,0.016744,0.040482,0.015981,0.069213,0.083592
  6 | 0.356883,0.432897,0.183584,0.133446,0.100942,0.045993,0.048464,0.023996,0.021180,0.017633,0.015095,0.016378,0.070557,0.043063,0.026862,0.021530,0.019335,0.016912,0.018179,0.030482,0.064705,0.070631
  7 | 0.379023,0.368255,0.156379,0.173728,0.067961,0.039169,0.027752,0.022454,0.018715,0.017030,0.033427,0.015147,0.070939,0.037739,0.026259,0.021116,0.019018,0.016502,0.015590,0.022227,0.069825,0.070202
  8 | 0.343992,0.408433,0.151878,0.150620,0.065619,0.039142,0.026180,0.063974,0.018560,0.016675,0.016504,0.014950,0.066516,0.038107,0.027546,0.022768,0.017885,0.020776,0.016251,0.015383,0.064320,0.071049
  9 | 0.340324,0.389965,0.136388,0.153198,0.069879,0.037139,0.050837,0.021606,0.018229,0.017624,0.015832,0.015285,0.072207,0.038756,0.034505,0.020896,0.024798,0.016854,0.016490,0.015257,0.070404,0.070357
 10 | 0.332856,0.366417,0.165452,0.129581,0.070685,0.039854,0.026998,0.025596,0.018472,0.017725,0.016118,0.015251,0.070574,0.038440,0.027205,0.022084,0.018803,0.017291,0.016106,0.025247,0.102619,0.069895
 11 | 0.324586,0.324657,0.132276,0.129479,0.064295,0.038091,0.027802,0.022228,0.018914,0.016591,0.015620,0.015482,0.064619,0.038479,0.029020,0.021465,0.018750,0.017006,0.016390,0.015376,0.072549,0.069274
 12 | 0.349665,0.330395,0.114713,0.129917,0.064313,0.036305,0.027473,0.022106,0.018681,0.017504,0.015759,0.017765,0.064906,0.040534,0.026335,0.021001,0.020955,0.020049,0.016164,0.021119,0.063845,0.065647
 13 | 0.342674,0.326096,0.132172,0.128656,0.075182,0.038266,0.026997,0.022054,0.032066,0.017317,0.015949,0.015407,0.064570,0.038949,0.026557,0.020820,0.018687,0.020680,0.015727,0.015224,0.064059,0.069189
 14 | 0.331194,0.337178,0.174477,0.130400,0.077730,0.037866,0.027142,0.021230,0.018885,0.017326,0.015827,0.015632,0.106435,0.037967,0.027577,0.021863,0.018816,0.016563,0.015555,0.015126,0.070015,0.070757
 15 | 0.341362,0.397643,0.117080,0.163637,0.083097,0.052552,0.027646,0.021715,0.019581,0.017104,0.016196,0.015530,0.109350,0.038213,0.029004,0.021668,0.020146,0.016952,0.015931,0.015634,0.068158,0.072710
 16 | 0.335143,0.325430,0.132274,0.130229,0.066284,0.038006,0.027191,0.022513,0.018433,0.029421,0.016392,0.015753,0.064802,0.039492,0.027262,0.021687,0.018573,0.017191,0.015954,0.016110,0.069433,0.081884
 17 | 0.338624,0.324947,0.115214,0.128937,0.071468,0.038041,0.026733,0.044472,0.029730,0.017326,0.015989,0.015292,0.064600,0.036470,0.028197,0.021723,0.050684,0.017517,0.016302,0.015860,0.066186,0.069719
 18 | 0.336175,0.333148,0.151567,0.128498,0.073568,0.039518,0.027268,0.024867,0.019168,0.018148,0.016663,0.020166,0.064829,0.038674,0.028518,0.022938,0.020402,0.018029,0.017515,0.015224,0.073907,0.072039
 19 | 0.339426,0.360755,0.114931,0.130087,0.093425,0.068095,0.025749,0.048092,0.021224,0.016578,0.017225,0.015824,0.065058,0.039729,0.027101,0.022194,0.018517,0.016740,0.016523,0.015283,0.108890,0.088673
 20 | 0.335231,0.385461,0.175532,0.139463,0.065045,0.037695,0.026590,0.022896,0.018286,0.016822,0.016286,0.014780,0.064586,0.040002,0.027232,0.021547,0.018645,0.016647,0.016183,0.015459,0.065196,0.064456
 21 | 0.342673,0.324352,0.113403,0.113366,0.064700,0.036273,0.027022,0.022700,0.020379,0.016700,0.024626,0.015546,0.065193,0.038108,0.026052,0.022172,0.019229,0.017010,0.015602,0.015277,0.066298,0.064366
 22 | 0.325427,0.326563,0.114119,0.112088,0.072670,0.039165,0.025580,0.020577,0.018866,0.016880,0.016095,0.015150,0.064776,0.039166,0.026435,0.021339,0.018584,0.017460,0.038364,0.015582,0.070746,0.070197
 23 | 0.330740,0.329157,0.132579,0.157246,0.071991,0.038991,0.027656,0.047623,0.018426,0.016718,0.016097,0.015155,0.071452,0.039234,0.026622,0.022484,0.019286,0.016843,0.015715,0.015032,0.069662,0.102924
 24 | 0.314821,0.326808,0.132578,0.113003,0.070935,0.040849,0.026525,0.021830,0.018686,0.016798,0.015647,0.016332,0.071774,0.040937,0.025493,0.022868,0.018577,0.016888,0.017291,0.015063,0.078706,0.068474
 25 | 0.329702,0.388580,0.111661,0.129999,0.064684,0.075835,0.027272,0.021134,0.020582,0.017117,0.016673,0.015147,0.066266,0.079040,0.027582,0.024241,0.018027,0.018822,0.017465,0.015577,0.064364,0.063857
 26 | 0.354582,0.371388,0.116225,0.153034,0.065125,0.037640,0.027621,0.022018,0.018313,0.017009,0.016298,0.016129,0.084861,0.038444,0.025673,0.022564,0.018255,0.017221,0.016761,0.015397,0.072008,0.064485
 27 | 0.320543,0.319403,0.131830,0.111473,0.064521,0.038609,0.026644,0.021758,0.018757,0.016956,0.016089,0.015173,0.065187,0.037929,0.026173,0.021798,0.018573,0.018407,0.015504,0.015709,0.064191,0.066487
 28 | 0.328042,0.349069,0.112556,0.110867,0.064913,0.038649,0.026695,0.021643,0.018879,0.016658,0.015755,0.015783,0.066013,0.038168,0.026406,0.021965,0.017984,0.017541,0.016040,0.015357,0.064033,0.064296
 29 | 0.315532,0.322173,0.114251,0.111721,0.064995,0.037330,0.026437,0.022066,0.018558,0.016919,0.015995,0.015268,0.067553,0.035837,0.028051,0.020775,0.018574,0.016416,0.015855,0.015163,0.065878,0.064424
 30 | 0.323634,0.324851,0.139181,0.110299,0.064659,0.038599,0.027949,0.022071,0.018726,0.017431,0.015750,0.014901,0.064651,0.037783,0.026125,0.021835,0.018567,0.016834,0.015818,0.015384,0.064235,0.064131
 31 | 0.321204,0.339551,0.123288,0.123738,0.084592,0.039140,0.026459,0.020369,0.019092,0.016710,0.015680,0.015250,0.070814,0.039363,0.027925,0.021189,0.019123,0.016585,0.015757,0.015931,0.063918,0.064783
 32 | 0.320613,0.362521,0.136150,0.129063,0.071112,0.036786,0.026574,0.021509,0.018385,0.016735,0.016038,0.015022,0.064674,0.036883,0.028044,0.021347,0.018835,0.027163,0.016404,0.015660,0.070717,0.064252
 33 | 0.320668,0.324909,0.112739,0.110521,0.064749,0.035830,0.027042,0.021627,0.018500,0.016713,0.016005,0.015014,0.064970,0.043000,0.026276,0.021948,0.019080,0.016427,0.016024,0.014803,0.064142,0.066799
 34 | 0.330509,0.398075,0.114669,0.129543,0.070431,0.038945,0.027266,0.020900,0.019194,0.016441,0.016152,0.033401,0.070860,0.039770,0.027709,0.021255,0.018814,0.017365,0.015588,0.015344,0.113054,0.070105
 35 | 0.361046,0.344854,0.131135,0.111623,0.065002,0.034869,0.025384,0.021143,0.018312,0.016480,0.015870,0.015732,0.066117,0.036317,0.025555,0.024150,0.018668,0.016560,0.017015,0.019014,0.064241,0.063982
 36 | 0.317021,0.384239,0.122269,0.112460,0.064982,0.036213,0.027454,0.021392,0.018126,0.017770,0.015998,0.015221,0.064810,0.035196,0.027953,0.025924,0.018998,0.016811,0.015962,0.015277,0.064103,0.064160
 37 | 0.329587,0.325268,0.115877,0.133721,0.070993,0.039522,0.026871,0.022188,0.018362,0.016697,0.015933,0.015267,0.111760,0.037981,0.025929,0.021080,0.019111,0.020234,0.019156,0.035333,0.064306,0.064535
 38 | 0.366961,0.338407,0.156459,0.128915,0.064963,0.038792,0.027292,0.021089,0.018515,0.016495,0.016554,0.015056,0.068726,0.038467,0.027039,0.021312,0.021009,0.016634,0.015633,0.015693,0.064689,0.071101
 39 | 0.313697,0.346326,0.115004,0.129133,0.064701,0.040752,0.028946,0.021857,0.018609,0.016869,0.015744,0.015221,0.065136,0.037452,0.027196,0.022798,0.019083,0.016823,0.016702,0.014576,0.064423,0.064144
 40 | 0.327280,0.325788,0.113193,0.112302,0.066573,0.038374,0.026272,0.021522,0.018468,0.017507,0.017081,0.015775,0.064720,0.039268,0.026465,0.022155,0.018496,0.016657,0.015732,0.015273,0.064100,0.064246
 41 | 0.330690,0.325654,0.114831,0.111566,0.064567,0.039857,0.028324,0.021392,0.018712,0.016976,0.015954,0.015562,0.064767,0.040917,0.026727,0.021784,0.018760,0.016711,0.016061,0.015860,0.066455,0.064182
 42 | 0.321180,0.351747,0.112190,0.110746,0.064919,0.039360,0.028773,0.022054,0.019622,0.017011,0.015787,0.015264,0.064768,0.040772,0.027133,0.020539,0.019084,0.016579,0.015751,0.015311,0.066034,0.064109
 43 | 0.322272,0.321475,0.111594,0.111031,0.064937,0.036678,0.028040,0.021595,0.018749,0.017427,0.015911,0.015316,0.069175,0.036863,0.025406,0.021938,0.018413,0.016585,0.015910,0.015276,0.064737,0.066422
 44 | 0.322772,0.321445,0.117149,0.129994,0.064600,0.039219,0.027339,0.020683,0.018413,0.017363,0.016534,0.014997,0.064664,0.038227,0.025518,0.021150,0.018592,0.016720,0.015743,0.016060,0.066849,0.064149
 45 | 0.315796,0.319406,0.109792,0.108859,0.063171,0.035758,0.028613,0.022740,0.019371,0.016871,0.016201,0.015176,0.063248,0.039351,0.032771,0.022868,0.019008,0.017167,0.015988,0.014916,0.062621,0.063656
 46 | 0.322602,0.322909,0.110944,0.108825,0.063369,0.038755,0.027659,0.021673,0.017873,0.016610,0.015920,0.015142,0.063358,0.036785,0.025882,0.021246,0.018222,0.017053,0.016216,0.015235,0.067924,0.063626
 47 | 0.317392,0.326669,0.110080,0.108578,0.066166,0.038542,0.026775,0.020815,0.017833,0.017198,0.015675,0.015563,0.063330,0.038657,0.026388,0.021620,0.018509,0.016701,0.015758,0.015341,0.062610,0.062718
 48 | 0.319172,0.323922,0.112771,0.108730,0.063784,0.036664,0.026720,0.021022,0.018769,0.016952,0.015879,0.015168,0.063342,0.038886,0.026149,0.022047,0.018214,0.016712,0.016071,0.014956,0.067566,0.062555
 49 | 0.319793,0.324806,0.110593,0.108310,0.063342,0.038496,0.028430,0.023045,0.018646,0.016418,0.016092,0.015181,0.063246,0.035538,0.027099,0.021726,0.017909,0.016865,0.016059,0.015248,0.066974,0.062559
 50 | 0.314163,0.328738,0.118182,0.107224,0.063333,0.038128,0.026561,0.021232,0.021587,0.016310,0.016470,0.016013,0.063063,0.039143,0.027682,0.025547,0.018714,0.016727,0.016143,0.014856,0.062465,0.062471
 51 | 0.312711,0.316308,0.110218,0.113891,0.063074,0.036497,0.028170,0.025920,0.019370,0.018323,0.016698,0.015606,0.063253,0.039307,0.026121,0.021218,0.018951,0.016697,0.015762,0.016276,0.062552,0.062510
 52 | 0.310832,0.316180,0.112483,0.109315,0.065615,0.036983,0.026609,0.022492,0.019932,0.016250,0.015672,0.015373,0.064054,0.037638,0.032357,0.021356,0.020982,0.017304,0.016595,0.015646,0.062407,0.062717
 53 | 0.320116,0.329559,0.112326,0.116557,0.063123,0.035975,0.026806,0.023642,0.018468,0.020109,0.015628,0.016039,0.063697,0.038400,0.027573,0.022447,0.021647,0.017009,0.016264,0.015696,0.064182,0.062520
 54 | 0.313904,0.319452,0.109052,0.125343,0.063548,0.037827,0.027184,0.020984,0.019005,0.017931,0.015666,0.016035,0.063585,0.036793,0.027850,0.022975,0.018410,0.016506,0.015701,0.017526,0.067288,0.064550
 55 | 0.313823,0.317492,0.110794,0.111679,0.063513,0.036239,0.026633,0.021873,0.018034,0.016530,0.016051,0.015385,0.065315,0.036929,0.027086,0.021222,0.018690,0.016933,0.016701,0.015200,0.062414,0.062261
 56 | 0.319360,0.320115,0.109336,0.114686,0.063120,0.037329,0.029227,0.024000,0.019267,0.016302,0.015642,0.015656,0.063074,0.038180,0.029921,0.021455,0.018499,0.017889,0.016024,0.015738,0.062172,0.067571
 57 | 0.315915,0.316604,0.108849,0.108270,0.063922,0.036555,0.025428,0.021167,0.019140,0.016542,0.015900,0.015550,0.063636,0.036161,0.026877,0.020922,0.018014,0.016576,0.015739,0.015809,0.064814,0.062578
 58 | 0.316681,0.319174,0.112256,0.108901,0.066082,0.038706,0.029831,0.021678,0.018295,0.016819,0.016548,0.014606,0.063135,0.038610,0.026214,0.021940,0.018498,0.018502,0.016643,0.015054,0.062811,0.065789
 59 | 0.318142,0.322774,0.109483,0.112753,0.063202,0.038986,0.032330,0.021696,0.017990,0.019755,0.016841,0.015107,0.063006,0.036722,0.028242,0.021675,0.018793,0.016889,0.015790,0.015514,0.069250,0.062355
 60 | 0.324944,0.320857,0.109533,0.111318,0.063364,0.038353,0.026081,0.021753,0.019288,0.016539,0.016198,0.015696,0.063302,0.038763,0.026514,0.022234,0.018980,0.016944,0.016888,0.015334,0.062585,0.065050
 61 | 0.320673,0.319625,0.108737,0.108631,0.063446,0.038077,0.027103,0.022245,0.019714,0.017803,0.015568,0.015472,0.066608,0.038593,0.026836,0.021907,0.019731,0.016657,0.015751,0.016198,0.062537,0.062617
 62 | 0.321662,0.324892,0.113336,0.109594,0.063924,0.039445,0.027401,0.021996,0.018206,0.016790,0.016169,0.015908,0.069720,0.037926,0.027521,0.021538,0.018690,0.017520,0.016145,0.015541,0.067196,0.062527
 63 | 0.325093,0.326908,0.112039,0.130611,0.063525,0.036353,0.026855,0.021600,0.018691,0.016882,0.015768,0.015144,0.063488,0.039113,0.027377,0.021654,0.018946,0.017500,0.015819,0.015944,0.067817,0.062540
 64 | 0.319288,0.326280,0.109555,0.107825,0.065230,0.037453,0.025888,0.022157,0.018593,0.016984,0.016102,0.015472,0.063516,0.039039,0.026167,0.022382,0.018437,0.016724,0.015609,0.015127,0.066835,0.062615
 65 | 0.338462,0.325414,0.114662,0.112024,0.063974,0.038134,0.026775,0.021964,0.018827,0.017635,0.016014,0.015435,0.068848,0.038389,0.027301,0.021348,0.019148,0.016808,0.016082,0.015175,0.067339,0.063991
 66 | 0.375547,0.327671,0.110679,0.109392,0.066773,0.044679,0.027204,0.021896,0.018587,0.016386,0.016102,0.015551,0.063635,0.038853,0.027323,0.021884,0.018655,0.018022,0.015851,0.015224,0.063200,0.063105
 67 | 0.359113,0.321217,0.110186,0.113421,0.070498,0.038288,0.027955,0.059877,0.018515,0.016568,0.015923,0.015350,0.064853,0.039382,0.026515,0.021561,0.018271,0.017123,0.015841,0.021189,0.063145,0.062940
 68 | 0.319572,0.386885,0.132624,0.124907,0.068664,0.038507,0.027401,0.021825,0.018706,0.016808,0.015877,0.015108,0.069056,0.040318,0.033295,0.021421,0.018682,0.016906,0.015692,0.015243,0.067826,0.066317
 69 | 0.315693,0.337681,0.127237,0.109939,0.064295,0.036574,0.027422,0.022667,0.018692,0.017242,0.015954,0.015640,0.064243,0.036972,0.027861,0.021149,0.018983,0.016681,0.015601,0.015160,0.063741,0.067461
 70 | 0.320001,0.327366,0.110598,0.108897,0.063897,0.038601,0.027999,0.021610,0.019877,0.016465,0.025689,0.014897,0.068932,0.036906,0.026358,0.021109,0.018992,0.017513,0.019275,0.015149,0.063672,0.063318
 71 | 0.332591,0.330536,0.127618,0.127210,0.069247,0.039128,0.027447,0.021863,0.034094,0.016730,0.015903,0.015202,0.072804,0.064915,0.027276,0.022051,0.018424,0.017213,0.016154,0.015519,0.069925,0.068725
 72 | 0.333354,0.338519,0.110121,0.110237,0.063689,0.038735,0.027019,0.021824,0.018924,0.017157,0.016595,0.015188,0.068309,0.040442,0.027518,0.021965,0.018601,0.032399,0.015966,0.015570,0.069110,0.065518
 73 | 0.321879,0.359018,0.111574,0.109926,0.090140,0.035619,0.032067,0.021184,0.018861,0.017262,0.018112,0.015317,0.064329,0.038852,0.027194,0.022117,0.018006,0.016692,0.015912,0.015262,0.066234,0.062913
 74 | 0.317789,0.353901,0.127111,0.126571,0.081498,0.036894,0.027408,0.022171,0.018889,0.017866,0.016769,0.015414,0.072011,0.038414,0.027719,0.022738,0.018370,0.017383,0.015984,0.015499,0.068135,0.063348
 75 | 0.314373,0.325355,0.109690,0.108730,0.064413,0.037207,0.027023,0.022159,0.018625,0.018962,0.016026,0.015325,0.068339,0.037680,0.026515,0.021694,0.018133,0.016905,0.016376,0.015593,0.122264,0.065142
 76 | 0.320811,0.323509,0.129622,0.129198,0.065198,0.039078,0.027875,0.022189,0.019346,0.016831,0.015922,0.015963,0.071987,0.038784,0.026978,0.021267,0.018727,0.016877,0.016123,0.015568,0.063462,0.108732
 77 | 0.316525,0.349384,0.128471,0.130272,0.069506,0.040712,0.027903,0.021744,0.017508,0.017034,0.016229,0.028719,0.067104,0.038513,0.027671,0.021580,0.018402,0.016808,0.015939,0.015749,0.062876,0.066591
 78 | 0.341995,0.370972,0.110188,0.162918,0.073964,0.038043,0.026952,0.021626,0.018115,0.016715,0.016430,0.015430,0.064291,0.038063,0.027400,0.021126,0.019119,0.017014,0.016232,0.014719,0.062653,0.063576
 79 | 0.314732,0.378734,0.131697,0.125121,0.071241,0.040581,0.027148,0.022414,0.018719,0.016489,0.016088,0.015557,0.064281,0.038345,0.027032,0.021163,0.018322,0.016863,0.015600,0.016072,0.069884,0.069976
 80 | 0.312248,0.329154,0.109886,0.114687,0.063767,0.038365,0.027195,0.021347,0.019075,0.017002,0.015604,0.015675,0.063802,0.038568,0.028056,0.021882,0.017956,0.017088,0.016325,0.015487,0.067658,0.068009
 81 | 0.314535,0.324833,0.110858,0.108912,0.063347,0.036879,0.025676,0.021892,0.018605,0.016843,0.015892,0.015548,0.063854,0.035446,0.027421,0.021496,0.018164,0.016890,0.015513,0.015537,0.066327,0.062954
 82 | 0.317816,0.320834,0.110067,0.108474,0.064063,0.038734,0.027264,0.021582,0.019145,0.016720,0.016567,0.015469,0.064201,0.034549,0.027005,0.021355,0.019661,0.016671,0.015759,0.016082,0.067564,0.066927
 83 | 0.312407,0.326611,0.114061,0.114237,0.064136,0.036507,0.026245,0.020961,0.018991,0.016607,0.015872,0.015720,0.068294,0.037877,0.027284,0.021443,0.019191,0.017234,0.016699,0.015070,0.063957,0.069200
 84 | 0.315935,0.350550,0.128893,0.111533,0.063427,0.038177,0.026333,0.022586,0.018862,0.017529,0.016750,0.015021,0.063978,0.037181,0.026995,0.021832,0.018735,0.016704,0.016008,0.015053,0.064693,0.068533
 85 | 0.321517,0.319094,0.114431,0.108784,0.063699,0.035353,0.025626,0.021436,0.019421,0.016750,0.015576,0.015679,0.064200,0.035245,0.025947,0.021521,0.018379,0.016640,0.016147,0.015563,0.063756,0.063592
 86 | 0.332631,0.326336,0.113993,0.126130,0.063266,0.038931,0.027265,0.022437,0.018145,0.016783,0.015762,0.015336,0.068584,0.039369,0.026612,0.021604,0.018759,0.016766,0.016123,0.015248,0.063261,0.070843
 87 | 0.332185,0.349323,0.127168,0.131330,0.064250,0.037549,0.026376,0.022546,0.019091,0.016676,0.016594,0.015156,0.067233,0.037506,0.027466,0.020960,0.018903,0.016744,0.016220,0.015283,0.063300,0.068561
 88 | 0.337586,0.326029,0.131107,0.117742,0.068135,0.036703,0.027001,0.021964,0.018780,0.017178,0.016519,0.015563,0.063226,0.036383,0.028706,0.021845,0.018910,0.017604,0.016029,0.015506,0.062917,0.062564
 89 | 0.335759,0.354707,0.128189,0.125400,0.063562,0.038842,0.027646,0.022819,0.018044,0.016789,0.017426,0.015613,0.068705,0.039557,0.026570,0.022411,0.018667,0.017104,0.015865,0.015590,0.064701,0.068130
 90 | 0.320785,0.350270,0.133819,0.108911,0.068772,0.038620,0.027271,0.024829,0.018381,0.017422,0.016721,0.015397,0.063953,0.038334,0.025301,0.021771,0.018226,0.017583,0.015750,0.015652,0.067713,0.067175
 91 | 0.318535,0.357977,0.127747,0.108487,0.063469,0.038670,0.027396,0.021660,0.017988,0.017540,0.016038,0.015341,0.070934,0.037953,0.026635,0.021149,0.018075,0.016640,0.016341,0.015377,0.069348,0.067849
 92 | 0.331134,0.345136,0.133067,0.131185,0.068105,0.037414,0.028320,0.022895,0.018658,0.016520,0.015594,0.015202,0.068836,0.039099,0.026735,0.020658,0.019243,0.017069,0.016065,0.015357,0.066660,0.068386
 93 | 0.330306,0.333479,0.127017,0.129710,0.068366,0.040207,0.028240,0.022723,0.018882,0.017454,0.016140,0.018333,0.068645,0.039784,0.028159,0.021428,0.024085,0.017888,0.016192,0.015269,0.069105,0.067402
 94 | 0.340981,0.353078,0.127978,0.108893,0.067972,0.038117,0.026584,0.026944,0.018983,0.017370,0.016307,0.015020,0.068042,0.039515,0.027546,0.020865,0.020598,0.016340,0.016044,0.017512,0.068746,0.068231
 95 | 0.330833,0.347270,0.131146,0.128103,0.068854,0.039176,0.026714,0.022554,0.019363,0.017271,0.015957,0.014957,0.069266,0.040364,0.027682,0.021501,0.019220,0.017076,0.016066,0.015459,0.067658,0.068046
 96 | 0.313794,0.338034,0.128564,0.125252,0.069258,0.039994,0.026370,0.023063,0.019254,0.017493,0.016001,0.015265,0.072327,0.038964,0.027659,0.021282,0.018968,0.016837,0.015745,0.015210,0.067657,0.066867
 97 | 0.314841,0.356610,0.111535,0.128639,0.064133,0.039116,0.026075,0.021691,0.018423,0.016946,0.016639,0.015953,0.068520,0.040191,0.027257,0.020932,0.018335,0.016844,0.015430,0.015350,0.063198,0.067001
 98 | 0.313603,0.328551,0.132920,0.125495,0.066441,0.037357,0.027189,0.022191,0.018288,0.017463,0.016647,0.015508,0.063252,0.038448,0.028168,0.021909,0.019040,0.016557,0.015633,0.015917,0.067891,0.069491
 99 | 0.316991,0.320120,0.111615,0.112513,0.068716,0.038495,0.026202,0.022162,0.018588,0.016855,0.016492,0.014942,0.067866,0.038862,0.027109,0.021964,0.018103,0.017306,0.015949,0.015581,0.063239,0.067343
100 | 0.322590,0.354888,0.128697,0.126224,0.067441,0.036796,0.028030,0.022573,0.018376,0.016356,0.016129,0.015128,0.064337,0.037843,0.026044,0.021111,0.018666,0.016966,0.015816,0.015592,0.063060,0.068140
101 | 0.322064,0.320785,0.112802,0.125787,0.063972,0.038240,0.026368,0.020980,0.018477,0.016729,0.015610,0.015431,0.066784,0.036780,0.027278,0.021557,0.018509,0.016623,0.016248,0.015858,0.062498,0.063899
102 | 


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/README.md:
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  1 | # perlAssembly
  2 | 
  3 | This is probably one of the things that should never be allowed to exist, but why not use Perl and its capabilities to inline foreign code, to FAFO with assembly without a build system? Everything in a single file! In the process one may find ways to use Perl to enhance NASM and vice versa. But for now, I make no such claims : I am just using the perlAssembly git repo to illustrate how one can use Perl to drive (and learn to code!) assembly programs from a single file. 
  4 | 
  5 | ## x86-64 examples
  6 | 
  7 | ### Adding Two Integers
  8 | ##### Script: addIntegers.pl
  9 | Simple integer addition in Perl - this is the Hello World version of this git repo
 10 | 
 11 | ### The sum of an array of integers
 12 | ##### Scripts: addArrayofIntegers.pl & addArrayOfIntegers\_C.pl
 13 | Explore multiple equivalent ways to add *large* arrays of short integers (-100 to 100 in this implementat) in Perl:
 14 | * ASM\_blank : tests the speed of calling ASM from Perl (no computations are done)
 15 | * ASM : passes the integers as bytes and then uses conversion operations and scalar floating point addition
 16 | * ASM\_doubles : passes the array as a packed string of doubles and do scalar double floating addition in assembly
 17 | * ASM\_doubles\_AVX: passes the array as a packed string of doubles and do packed floating point addition in assembly
 18 | * ForLoop : standard for loop in Perl
 19 | * ListUtil: sum function from list utilities
 20 | * PDL : uses summation in PDL
 21 | 
 22 | Scenarios w\_alloc : allocate memory for each iteration to test the speed of pack, those marked
 23 | as wo\_alloc, use a pre-computed data structure to pass the array to the underlying code. 
 24 | Benchmarks of the first scenario give the true cost of offloading summation to of a Perl array to a given 
 25 | function when the source data are in Perl. Timing the second scenario benchmarks speed of the
 26 | underlying implementation.
 27 | 
 28 | The script illustrates 
 29 | * an important (but not the only one!) strategy to create a data structure
 30 | that is suitable for Assembly to work with, i.e. a standard array of the appropriate type, 
 31 | in which one element is laid adjacent to the previous one in memory
 32 | * the emulation of declaring a pointer as constant in the interface of a C function. In the
 33 | AVX code, we don't FAFO with the pointer (RSI in the calling convention) to the array directly,
 34 | but first load its address to another register that we manipulate at will.  
 35 | 
 36 | 
 37 | #### Results
 38 | Those were obtained on the i7 with the following topology
 39 | 
 40 | ![Topology of system](i7.png)
 41 | 
 42 | And here are the timings! 
 43 | 
 44 | |                              |  mean  | median | stddev |
 45 | |------------------------------|--------|--------|--------|
 46 | |ASM\_blank                    | 2.3e-06| 2.0e-06| 1.1e-06|
 47 | |ASM\_doubles\_AVX\_w\_alloc   | 3.6e-03| 3.5e-03| 4.2e-04|
 48 | |ASM\_doubles\_AVX\_wo\_alloc  | 3.0e-04| 2.9e-04| 2.7e-05|
 49 | |ASM\_doubles\_w\_alloc        | 4.3e-03| 4.1e-03| 4.5e-04|
 50 | |ASM\_doubles\_wo\_alloc       | 8.9e-04| 8.7e-04| 3.0e-05|
 51 | |ASM\_w\_alloc                 | 4.3e-03| 4.2e-03| 4.5e-04|
 52 | |ASM\_wo\_alloc                | 9.2e-04| 9.1e-04| 4.1e-05|
 53 | |ForLoop                       | 1.9e-02| 1.9e-02| 2.6e-04|
 54 | |ListUtil                      | 4.5e-03| 4.5e-03| 1.4e-04|
 55 | |PDL\_w\_alloc                 | 2.1e-02| 2.1e-02| 6.7e-04|
 56 | |PDL\_wo\_alloc                | 9.2e-04| 9.0e-04| 3.9e-05|
 57 | 
 58 | Let's say we wanted to do this toy experiment in pure C (using Inline::C of course!)
 59 | This code obtains the integers as a packed "string" of doubles and forms the sum in C
 60 | ```C
 61 | double sum_array_C(char *array_in, size_t length) {
 62 |     double sum = 0.0;
 63 |     double * array = (double *) array_in;
 64 |     for (size_t i = 0; i < length; i++) {
 65 |         sum += array[i];
 66 |     }
 67 |     return sum;
 68 | }
 69 | ```
 70 | 
 71 | Here are the timing results:
 72 | 
 73 | |                              |  mean  | median | stddev |
 74 | |------------------------------|--------|--------|--------|
 75 | |C\_doubles\_w\_alloc          |4.1e-03 |4.1e-03 | 2.3e-04|
 76 | |C\_doubles\_wo\_alloc         |9.0e-04 |8.7e-04 | 4.6e-05|
 77 | 
 78 | 
 79 | What if we used SIMD directives and parallel loop constructs in OpenMP? This was done in
 80 | the file addArrayOfIntegers\_C.pl. All three combinations were tested, i.e. SIMD directives
 81 | alone (the C equivalent of the AVX code), OpenMP parallel loop threads and SIMD+OpenMP.
 82 | Here are the timings!
 83 | 
 84 | |                              |  mean  | median | stddev |
 85 | |------------------------------|--------|--------|--------|
 86 | |C\_OMP\_w\_alloc              |4.0e-03 | 3.7e-03| 1.4e-03|
 87 | |C\_OMP\_wo\_alloc             |3.1e-04 | 2.3e-04| 9.5e-04|
 88 | |C\_SIMD\_OMP\_w\_alloc        |4.0e-03 | 3.8e-03| 8.6e-04|
 89 | |C\_SIMD\_OMP\_wo\_alloc       |3.1e-04 | 2.5e-04| 8.5e-04|
 90 | |C\_SIMD\_w\_alloc             |4.1e-03 | 4.0e-03| 2.4e-04|
 91 | |C\_SIMD\_wo\_alloc            |5.0e-04 | 5.0e-04| 8.9e-05|
 92 | 
 93 | #### Discussion of the sum of an array of integers example
 94 | * For calculations such as this, the price that must be paid is all in memory currency: it
 95 | takes time to generate these large arrays, and for code with low arithmetic intensity this
 96 | time dominates the numeric calculation time.
 97 | * Look how insanely effective sum in List::Util is : even though it has to walk the Perl 
 98 | array whose elements (the *doubles*, not the AV*) are not stored in a contiguous area in memory,
 99 | it is no more than 3x slower than the equivalent C code  C\_doubles\_wo\_alloc. 
100 | * Look how optimized PDL is compared to the C code in the scenario without memory allocation.
101 | * Manual SIMD coded in assembly is 40% faster than the equivalent SIMD code in OpenMP (but it is
102 | much more painful to write)
103 | * The threaded OpenMP version achieved equivalent performance to the single thread AVX assembly
104 | programs, with no obvious improvement from combining SIMD+parallel loop for pragmas in OpenMP. 
105 | * For the example considered here, it thus makes ZERO senso to offload a calculation as simple as a 
106 | summation because ListUtil is already within 15% of the assembly solution (at a latter iteration
107 | we will also test AVX2 and AVX512 packed addition to see if we can improve the results). 
108 | * If however, one was managing the array, not as a Perl array, but as an area in memory through 
109 | a Perl object, then one COULD consider offloading. It may be fun to consider an example in 
110 | which one adds the output of a function that has an efficient PDL and assembly implementation
111 | to see how the calculus changes (in the to-do list for now).
112 | 
113 | ### Parallel reductions over numerical data using ListUtil , Inline and OpenMP
114 | ##### Script: ListUtil_OMP.pl and analyze_ListUtil_OMP.R
115 | Exploration of reductions for numerical data using Perl Loops, Inline and OpenMP
116 | Version 0.01 was created for the [London 2024 Perl and Raku Workshop](https://act.yapc.eu/lpw2024/) on a Xeon E2597v4 with the
117 | following topology: 
118 | ![image](https://github.com/user-attachments/assets/aa1cfde3-8f0d-4d22-b9f6-29fc2d5884c0)
119 | 
120 | and empirical roofline diagram:
121 | 
122 | ![image](https://github.com/user-attachments/assets/6c93e210-33d7-460c-92b7-5483a0460ff1)
123 | 
124 | Write up of the scenario and additional results will be uploaded after the workup. 
125 | Version 0.02 will likely drop _after_ the [Winter 2024 Perl Community conference](https://science.perlcommunity.org/spj).
126 | 
127 | 
128 | 
129 | ### Disclaimer
130 | The code here is NOT meant to be portable. I code in Linux and in x86-64, so if you are looking into Window's ABI or ARM, you will be disappointed. But as my knowledge of ARM assembly grows, I intend to rewrite some examples in Arm assembly!
131 | 


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/addArrayofIntegers.pl:
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  1 | #!/home/chrisarg/perl5/perlbrew/perls/current/bin/perl
  2 | use v5.36;
  3 | 
  4 | use List::Util qw(sum);
  5 | use Benchmark::CSV;
  6 | use PDL::Lite;
  7 | use PDL::NiceSlice;
  8 | use PDL::IO::Misc;
  9 | use PDL::IO::CSV ':all';
 10 | use PDL::Stats::Basic;
 11 | use Time::HiRes qw(time);
 12 | use Inline C => 'DATA';
 13 | use Inline
 14 |   ASM     => 'DATA',
 15 |   AS      => 'nasm',
 16 |   ASFLAGS => '-f elf64',
 17 |   PROTO   => {
 18 |     sum_array                       => 'double(char *,size_t)',
 19 |     sum_array_blank                 => 'double(char *,size_t)',
 20 |     sum_array_doubles               => 'double(char *,size_t)',
 21 |     sum_array_doubles_AVX_unaligned => 'double(char *,size_t)',
 22 | 
 23 |   };
 24 | 
 25 | my $benchmark = Benchmark::CSV->new(
 26 |     output      => './addArrayofIntegers.csv',
 27 |     sample_size => 1,
 28 | );
 29 | 
 30 | my $num_elements = 1_000_003;
 31 | ## Create an array of $num_elements random integers, between -100, 100
 32 | my @array = map { int( rand(200) ) - 100 } 1 .. $num_elements;
 33 | 
 34 | my $array_byte_ASM   = pack "c*", @array;
 35 | my $array_double_ASM = pack "d*", @array;
 36 | 
 37 | my $ndarray = pdl( \@array );
 38 | 
 39 | 
 40 | $benchmark->add_instance(
 41 |     'ASM_wo_alloc' => sub {
 42 |         sum_array( $array_byte_ASM, scalar @array );
 43 |     },
 44 | );
 45 | $benchmark->add_instance(
 46 |     'ASM_doubles_wo_alloc' => sub {
 47 |         sum_array_doubles( $array_double_ASM, scalar @array );
 48 |     },
 49 | );
 50 | $benchmark->add_instance(
 51 |     'ASM_blank' => sub {
 52 |         sum_array_blank( $array_double_ASM, scalar @array );
 53 |     },
 54 | );
 55 | $benchmark->add_instance(
 56 |     'ASM_w_alloc' => sub {
 57 |         my $array = pack "d*", @array;
 58 |         sum_array( $array, scalar @array );
 59 |     },
 60 | );
 61 | $benchmark->add_instance(
 62 |     'ASM_doubles_w_alloc' => sub {
 63 |         my $array = pack "d*", @array;
 64 |         sum_array_doubles( $array, scalar @array );
 65 |     },
 66 | );
 67 | $benchmark->add_instance(
 68 |     'ASM_doubles_AVX_w_alloc' => sub {
 69 |         my $array = pack "d*", @array;
 70 |         sum_array_doubles_AVX_unaligned( $array, scalar @array );
 71 |     },
 72 | );
 73 | $benchmark->add_instance(
 74 |     'ASM_doubles_AVX_wo_alloc' => sub {
 75 |         sum_array_doubles_AVX_unaligned( $array_double_ASM, scalar @array );
 76 |     },
 77 | );
 78 | $benchmark->add_instance(
 79 |     'C_doubles_w_alloc' => sub {
 80 |         my $array_double_ASM = pack "d*", @array;
 81 |         sum_array_C( $array_double_ASM, scalar @array );
 82 |     },
 83 | );
 84 | $benchmark->add_instance( 'C_doubles_wo_alloc' =>
 85 |       sub { sum_array_C( $array_double_ASM, scalar @array ) }, );
 86 | $benchmark->add_instance( 'ListUtil'     => sub { sum(@array) }, );
 87 | $benchmark->add_instance( 'PDL_wo_alloc' => sub { $ndarray->sum }, );
 88 | $benchmark->add_instance( 'PDL_w_alloc'  => sub { pdl( \@array )->sum }, );
 89 | $benchmark->add_instance(
 90 |     'ForLoop' => sub {
 91 |         my $sum = 0;
 92 |         foreach my $i (@array) {
 93 |             $sum += $i;
 94 |         }
 95 |     },
 96 | );
 97 | 
 98 | $benchmark->run_iterations(100);
 99 | 
100 | # Load the CSV file
101 | 
102 | my @data = rcsv1D( 'addArrayofIntegers.csv', { text2bad => 1, header => 1 } );
103 | 
104 | my %summary_stats = ();
105 | 
106 | foreach my $col ( 0 .. $#data ) {
107 |     my $pdl    = pdl( $data[$col] );
108 |     my $mean   = $pdl->average;
109 |     my $stddev = $pdl->stdv_unbiased;
110 |     my $median = $pdl->median;
111 |     $summary_stats{ $data[$col]->hdr->{col_name} } =
112 |       { mean => $mean, stddev => $stddev, median => $median };
113 | }
114 | 
115 | # Get the column names from the first row
116 | my @column_names = sort keys %{ $summary_stats{ ( keys %summary_stats )[0] } };
117 | 
118 | # Define the width for each column
119 | my $width_name = 24;
120 | my $width_col  = 10;
121 | 
122 | # Print the column names
123 | printf "%-${width_name}s", '';
124 | printf "%${width_col}s",   $_ for @column_names;
125 | print "\n";
126 | 
127 | # Print each row
128 | foreach my $row_name ( sort keys %summary_stats ) {
129 |     printf "%-${width_name}s", $row_name;
130 |     printf "%${width_col}.1e", $summary_stats{$row_name}{$_} for @column_names;
131 |     print "\n";
132 | }
133 | 
134 | unlink 'addArrayofIntegers.csv';
135 | ## load the CSV file and print a summary of the results using PDL
136 | 
137 | __DATA__
138 | __C__
139 | 
140 | double sum_array_C(char *array_in, size_t length) {
141 |     double sum = 0.0;
142 |     double * array = (double *) array_in;
143 |     for (size_t i = 0; i < length; i++) {
144 |         sum += array[i];
145 |     }
146 |     return sum;
147 | }
148 | __ASM__
149 | NSE    equ 4 ; number of SIMD double elements per iteration
150 | DOUBLE equ 8 ; number of bytes per double
151 | 
152 | ; Use RIP-relative memory addressing
153 | default rel
154 | 
155 | ; Mark stack as non-executable for Binutils 2.39+
156 | section .note.GNU-stack noalloc noexec nowrite progbits
157 | 
158 | SECTION .text
159 | 
160 | global sum_array
161 | sum_array:
162 |  ; Initialize xmm0 to 0 (this will hold our sum)
163 |     xorpd xmm0, xmm0
164 | 
165 |     ; Loop over each element of the array
166 |     .loop:
167 |         ; Check if we've processed all elements
168 |         test rsi, rsi
169 |         jz .end
170 | 
171 |         ; Load the current element into eax (as an 8-bit integer)
172 |         movsx eax, byte [rdi]
173 | 
174 |         ; Convert the integer in eax to a double in xmm1
175 |         cvtsi2sd xmm1, eax
176 | 
177 |         ; Add the value in xmm1 to our running total in xmm0
178 |         addsd xmm0, xmm1
179 | 
180 |         ; Move to the next element
181 |         add rdi, 1
182 | 
183 |         ; Decrement our counter
184 |         dec rsi
185 | 
186 |         jmp .loop
187 |     .end:
188 |   ret
189 | 
190 | global sum_array_doubles
191 | sum_array_doubles: ; based on Kusswurm listing 5-7c
192 |     ; Initialize
193 |     vxorpd xmm0, xmm0, xmm0 ; sum = 0.0
194 |     sub rdi, 8              ; rdi = &array[-1]
195 | 
196 |     Loop1:
197 |         add rdi, DOUBLE
198 |         vaddsd xmm0, xmm0, qword [rdi]
199 |         sub rsi, 1
200 |         jnz Loop1
201 |     ret
202 | 
203 | 
204 | global sum_array_doubles_AVX_unaligned
205 | sum_array_doubles_AVX_unaligned: ; based on Kusswurm listing 9-4d
206 |     vxorpd ymm0, ymm0, ymm0         ; sum = 0.0      
207 | 
208 |                                     ; i = 0 in the comments of this block
209 |     lea r10,[rdi - DOUBLE]          ; r10 = &array[i-1]
210 |     cmp rsi, NSE                    ; check if we have at least NSE elements
211 |     jb Remainder_AVX                ; if not, jump to remainder
212 |     lea r10, [rdi-NSE * DOUBLE]     ; r10 = &array[i-NSE]
213 | 
214 | 
215 |     Loop1_AVX:
216 |         add r10, DOUBLE * NSE        ; r10 = &array[i]
217 |         vaddpd ymm0, ymm0, [r10]     ; sum += array[i]
218 |         sub rsi, NSE                 ; decrement the counter
219 |         cmp rsi, NSE                 ; check if we have at least NSE elements
220 |         jae Loop1_AVX                ; if so, loop again
221 | 
222 |     ; Reduce packed sum using SIMD addition
223 |     vextractf128 xmm1, ymm0, 1      ; extract the high 128 bits
224 |     vaddpd xmm2, xmm1, xmm0         ; sum += high 128 bits
225 |     vhaddpd xmm0, xmm2, xmm2        ; sum += low 128 bits
226 |     test rsi, rsi                   ; check if we have any elements left
227 |     jz End_AVX                      ; if not, jump to the end
228 | 
229 |     add r10, DOUBLE * NSE  - DOUBLE ; r10 = &array[i-1]
230 |     
231 | 
232 |     ; Handle the remaining elements
233 |     Remainder_AVX:
234 |         add r10, DOUBLE
235 |         vaddsd xmm0, xmm0, qword [r10]
236 |         sub rsi, 1
237 |         jnz Remainder_AVX
238 | 
239 |     End_AVX:
240 |     ;vmovsd xmm0, xmm5
241 |     ret
242 | 
243 | global sum_array_blank
244 | sum_array_blank:
245 |     ; Initialize sum to 0
246 |     vxorpd xmm0, xmm0, xmm0
247 |     ret ; send a zero back
248 | 


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/addArrayofIntegers_C.pl:
--------------------------------------------------------------------------------
  1 | #!/home/chrisarg/perl5/perlbrew/perls/current/bin/perl
  2 | use v5.36;
  3 | 
  4 | use List::Util qw(sum);
  5 | use Benchmark::CSV;
  6 | use PDL::Lite;
  7 | use PDL::NiceSlice;
  8 | use PDL::IO::Misc;
  9 | use PDL::IO::CSV ':all';
 10 | use PDL::Stats::Basic;
 11 | use Time::HiRes qw(time);
 12 | use OpenMP::Environment;
 13 | use Inline (
 14 |     C         => 'DATA',
 15 |     ccflagsex => q{-fopenmp},
 16 |     lddlflags => join( q{ }, $Config::Config{lddlflags}, q{-fopenmp} ),
 17 |     myextlib  => ''
 18 | );
 19 | 
 20 | my $openmp_env = OpenMP::Environment->new;
 21 | $openmp_env->omp_num_threads(16);
 22 | 
 23 | my $benchmark = Benchmark::CSV->new(
 24 |     output      => './addArrayofIntegers.csv',
 25 |     sample_size => 1,
 26 | );
 27 | 
 28 | my $num_elements = 1_000_003;
 29 | 
 30 | ## Create an array of $num_elements random integers, between -100, 100
 31 | my @array = map { int( rand(200) ) - 100 } 1 .. $num_elements;
 32 | my $array_double_ASM = pack "d*", @array;
 33 | 
 34 | 
 35 | say "Starting benchmark";
 36 | $benchmark->add_instance(
 37 |     'C_SIMD_wo_alloc' => sub {
 38 |         sum_array_SIMD_C( $array_double_ASM, scalar @array );
 39 |     },
 40 | );
 41 | $benchmark->add_instance(
 42 |     'C_SIMD_w_alloc' => sub {
 43 |         my $array_double_ASM = pack "d*", @array;
 44 |         sum_array_SIMD_C( $array_double_ASM, scalar @array );
 45 |     },
 46 | );
 47 | $benchmark->add_instance(
 48 |     'C_SIMD_OMP_wo_alloc' => sub {
 49 |         sum_array_SIMD_OMP_C( $array_double_ASM, scalar @array );
 50 |     },
 51 | );
 52 | $benchmark->add_instance(
 53 |     'C_SIMD_OMP_w_alloc' => sub {
 54 |         my $array_double_ASM = pack "d*", @array;
 55 |         sum_array_SIMD_OMP_C( $array_double_ASM, scalar @array );
 56 |     },
 57 | );
 58 | 
 59 | $benchmark->add_instance(
 60 |     'C_OMP_wo_alloc' => sub {
 61 |         sum_array_OMP_C( $array_double_ASM, scalar @array );
 62 |     },
 63 | );
 64 | $benchmark->add_instance(
 65 |     'C_OMP_w_alloc' => sub {
 66 |         my $array_double_ASM = pack "d*", @array;
 67 |         sum_array_OMP_C( $array_double_ASM, scalar @array );
 68 |     },
 69 | );
 70 | 
 71 | $benchmark->run_iterations(1000);
 72 | 
 73 | # Load the CSV file
 74 | 
 75 | my @data = rcsv1D( 'addArrayofIntegers.csv', { text2bad => 1, header => 1 } );
 76 | 
 77 | my %summary_stats = ();
 78 | 
 79 | foreach my $col ( 0 .. $#data ) {
 80 |     my $pdl    = pdl( $data[$col] );
 81 |     my $mean   = $pdl->average;
 82 |     my $stddev = $pdl->stdv_unbiased;
 83 |     my $median = $pdl->median;
 84 |     $summary_stats{ $data[$col]->hdr->{col_name} } =
 85 |       { mean => $mean, stddev => $stddev, median => $median };
 86 | }
 87 | 
 88 | # Get the column names from the first row
 89 | my @column_names = sort keys %{ $summary_stats{ ( keys %summary_stats )[0] } };
 90 | 
 91 | # Define the width for each column
 92 | my $width_name = 24;
 93 | my $width_col  = 10;
 94 | 
 95 | # Print the column names
 96 | printf "%-${width_name}s", '';
 97 | printf "%${width_col}s",   $_ for @column_names;
 98 | print "\n";
 99 | 
100 | # Print each row
101 | foreach my $row_name ( sort keys %summary_stats ) {
102 |     printf "%-${width_name}s", $row_name;
103 |     printf "%${width_col}.1e", $summary_stats{$row_name}{$_} for @column_names;
104 |     print "\n";
105 | }
106 | 
107 | unlink 'addArrayofIntegers.csv';
108 | ## load the CSV file and print a summary of the results using PDL
109 | 
110 | __DATA__
111 | __C__
112 | #include <omp.h>
113 | 
114 | 
115 | 
116 | 
117 | void _ENV_set_num_threads() {
118 |   char *num;
119 |   num = getenv("OMP_NUM_THREADS");
120 |   omp_set_num_threads(atoi(num));
121 | }
122 | 
123 | 
124 | double sum_array_SIMD_C(char *array_in, size_t length) {
125 |     double sum = 0.0;
126 |     double * array = (double *) array_in;
127 |     #pragma omp simd reduction(+:sum)
128 |     for (size_t i = 0; i < length; i++) {
129 |         sum += array[i];
130 |     }
131 |     return sum;
132 | }
133 | 
134 | double sum_array_SIMD_OMP_C(char *array_in, size_t length) {
135 |     double sum = 0.0;
136 |     double * array = (double *) array_in;
137 |     _ENV_set_num_threads();
138 |     #pragma omp parallel for simd reduction(+:sum) schedule(static,8)
139 |     for (size_t i = 0; i < length; i++) {
140 |         sum += array[i];
141 |     }
142 |     return sum;
143 | }
144 | 
145 | double sum_array_OMP_C(char *array_in, size_t length) {
146 |     double sum = 0.0;
147 |     double * array = (double *) array_in;
148 |     _ENV_set_num_threads();
149 |     #pragma omp parallel for reduction(+:sum) schedule(static,8)
150 |     for (size_t i = 0; i < length; i++) {
151 |         sum += array[i];
152 |     }
153 |     return sum;
154 | }
155 | 


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/addIntegers.pl:
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 1 | #!/home/chrisarg/perl5/perlbrew/perls/current/bin/perl
 2 | use strict;
 3 | use warnings;
 4 | use v5.36;
 5 | use Inline
 6 |   ASM     => 'DATA',
 7 |   AS      => 'nasm',
 8 |   ASFLAGS => '-f elf64',
 9 |   PROTO   => {
10 |     add  => 'I16(I16,I16)',
11 |     add8 => 'I16(I8,I8)',
12 |   };
13 | 
14 | print "9 + 16 = ", add( 9, 16 ),  "\n";
15 | print "9 + 16 = ", add8( 9, 16 ), "\n";
16 | 
17 | my @val = ( 1, 2, 3, 4, 5 );
18 | my $s = pack( 'C*', @val );
19 | say length($s);
20 | __DATA__
21 | __ASM__
22 | ; Use RIP-relative memory addressing
23 | default rel
24 | 
25 | ; Mark stack as non-executable for Binutils 2.39+
26 | section .note.GNU-stack noalloc noexec nowrite progbits
27 | 
28 | SECTION .text
29 | 
30 | global add 
31 | add: 
32 |     add edi, esi
33 |     mov eax, edi
34 |     ret
35 | 
36 | global add8
37 | add8: 
38 |     add dil, sil
39 |     movzx eax, dil
40 |     ret
41 | 


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/analyze_ListUtil_OMP.R:
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 1 | library(data.table)
 2 | library(ggplot2)
 3 | library(viridis)
 4 | 
 5 | rm(list=ls())
 6 | data <- melt(rbindlist(lapply(list.files(pattern = "ListUtil_OMP_.*\\.csv"), function(file) {
 7 |   size <- as.integer(gsub("ListUtil_OMP_([[:digit:]]+).csv", "\\1", file))
 8 |   dt <- fread(file)
 9 |   dt[, Size := size]
10 | })), id.vars = "Size")
11 | 
12 | setnames(data, c("variable", "value"), c("variable", "Time"))
13 | 
14 | ## split the value of the Function column, using the "_" to separate the new columns
15 | data[, c("Code", "Function", "space", "Nthreads") := tstrsplit(variable, "_", fixed = TRUE)]
16 | data$Size <- factor(data$Size)
17 | data[Code == "OMP", Code := paste("OMP", Nthreads, sep = "_")]
18 | data$Code <- factor(data$Code, levels = c("ForLoop", "ListUtil", "StC", paste(
19 |   "OMP", c("01", "02", "03", "04", "05", "06", "07", "08"), sep = "_"
20 | )))
21 | 
22 | ggplot(data, aes(x = Code, y = Time)) + geom_boxplot() +
23 |   scale_y_log10(breaks = 10 ^ (-6:-1))  + facet_grid(Size ~ Function) + theme_bw() +
24 |   ylab("Time (sec)") + xlab("Code") + coord_flip()
25 | ggsave(
26 |   "ListUtil_OMP.png",
27 |   width = 6,
28 |   height = 10,
29 |   units = "in",
30 |   dpi = 600
31 | )
32 | 
33 | ggplot(data[is.element(Size, c("100", "10000", "1000000")), ], aes(x = Code, y = Time)) + geom_boxplot() +
34 |   scale_y_log10(breaks = 10 ^ (-6:-1))  + facet_grid(Size ~ Function) + theme_bw() +
35 |   ylab("Time (sec)") + xlab("Code") + coord_flip()
36 | ggsave(
37 |   "ListUtil_OMP_limited.png",
38 |   width = 6,
39 |   height = 8,
40 |   units = "in",
41 |   dpi = 600
42 | )
43 | 
44 | 
45 | 
46 | ggplot(data[is.element(Size, c("100", "10000", "1000000")), ], aes(x = Code, y = Time, color =
47 |                                                                      Size)) + geom_boxplot() +
48 |   scale_y_log10(breaks = 10 ^ (-6:-1))  + facet_grid(Function ~ .) + theme_bw() +
49 |   ylab("Time (sec)") + xlab("Code") + scale_color_viridis(discrete = TRUE)
50 | ggsave(
51 |   "ListUtil_OMP_limited_color.png",
52 |   width = 10,
53 |   height = 6,
54 |   units = "in",
55 |   dpi = 600
56 | )
57 | ## scale the time for all the data to that of the ForLoop with the same Size
58 | data_scale <- copy(data)
59 | data_scale <- data_scale[, Time := Time / Time[Code == "ForLoop"], by = .(Size, Function)]
60 | 
61 | ggplot(data_scale[is.element(Size, c("100", "10000", "1000000")) &
62 |                     Code != "ForLoop", ], aes(x = Code, y = Time, color = Size)) + geom_boxplot() +
63 |   scale_y_log10()  + facet_grid(Function ~ .) + theme_bw() +
64 |   ylab("Timing Ratio (vs ForLoop of the same size)") + xlab("Code") + scale_color_viridis(discrete = TRUE)
65 | ggsave(
66 |   "ListUtil_OMP_ratio_limited_color.png",
67 |   width = 10,
68 |   height = 6,
69 |   units = "in",
70 |   dpi = 600
71 | )
72 | 
73 | 
74 | ## scale the data to the Time with the same Code at Size = 100
75 | data_scale_size <- copy(data)
76 | data_scale_size <- data_scale_size[, Time := Time / Time[Size == "100" ], by = .(Function, Code)]
77 | ggplot(data_scale_size[is.element(Size, c( "10000", "1000000")) , ], aes(x = Code, y = Time, color = Size)) + geom_boxplot() +
78 |   scale_y_log10()  + facet_grid(Function ~ .) + theme_bw() +
79 |   ylab("Timing Ratio (vs Code of size = 100)") + xlab("Code") + scale_color_viridis(discrete = TRUE)
80 | 


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/i7.png:
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https://raw.githubusercontent.com/chrisarg/perlAssembly/9b41a989d4cef8bafa3279afdbc4c06e21d76cd2/i7.png


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