Spreadsheet: 178446d1346791540-sorting-data-example
Sheet: Sheet1

 | N | = | 5, | M | = | 5 | machine | precision | = | 2.22045e-16
 | L | = | 0.01 | 0 | 0 | 0 | 0
 | [NAME] | = | 0.1 | 8 | 11 | 2 | 2
 | U | = | inf | inf | inf | inf | inf
 | At | [NAME], | 0 | variables | are | exactly | at | the | bounds
 | 0.1 | 8 | 11 | 2 | 2 | 1212.328 | 1586.499
 | 0.101 | 8 | 11 | 2 | 2 | 1211.715 | 1587.396
 | 0.099 | 8 | 11 | 2 | 2 | 1212.941 | 1585.604
 | 0.1 | 8.001 | 11 | 2 | 2 | 1212.281 | 1586.469
 | 0.1 | 7.999 | 11 | 2 | 2 | 1212.375 | 1586.529
 | 0.1 | 8 | 11.001 | 2 | 2 | 1212.307 | 1586.42
 | 0.1 | 8 | 10.999 | 2 | 2 | 1212.348 | 1586.578
 | 0.1 | 8 | 11 | 2.001 | 2 | 1212.396 | 1586.499
 | 0.1 | 8 | 11 | 1.999 | 2 | 1212.26 | 1586.499
 | 0.1 | 8 | 11 | 2 | 2.001 | 1212.328 | 1586.455
 | 0.1 | 8 | 11 | 2 | 1.999 | 1212.328 | 1586.543
 | At | iterate | 0 | f= | 2798.8 | |proj | g|= | 99.4
 | Iteration | 0
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 2 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -102450 | 102450
 | Distance | to | the | next | break | point | = | 0.00031794
 | Distance | to | the | stationary | point | = | 1
 | Variable | 1 | is | fixed.
 | Piece | 2 | f1, | f2 | at | start | point | -22313 | 22320
 | Distance | to | the | next | break | point | = | 0.029153
 | Distance | to | the | stationary | point | = | 0.99968
 | Variable | 4 | is | fixed.
 | GCP | found | in | this | segment
 | Piece | 3 | f1, | f2 | at | start | point | -17192 | 17714
 | Distance | to | the | stationary | point | = | 0.97053
 | Cauchy | X | = | 0.01 | 84.7258 | 110.4 | 0 | 46.1259
 | ---------------- | exit | CAUCHY----------------------
 | 3 | variables | are | free | at | GCP | on | iteration | 1
 | 0.09932387 | 8.576407 | 11.74675 | 1.984975 | 2.331499 | 1189.16 | 1557.236
 | 0.1003239 | 8.576407 | 11.74675 | 1.984975 | 2.331499 | 1188.518 | 1558.189
 | 0.09832387 | 8.576407 | 11.74675 | 1.984975 | 2.331499 | 1189.803 | 1556.284
 | 0.09932387 | 8.577407 | 11.74675 | 1.984975 | 2.331499 | 1189.182 | 1557.206
 | 0.09932387 | 8.575407 | 11.74675 | 1.984975 | 2.331499 | 1189.138 | 1557.266
 | 0.09932387 | 8.576407 | 11.74775 | 1.984975 | 2.331499 | 1189.14 | 1557.257
 | 0.09932387 | 8.576407 | 11.74575 | 1.984975 | 2.331499 | 1189.18 | 1557.215
 | 0.09932387 | 8.576407 | 11.74675 | 1.985975 | 2.331499 | 1189.245 | 1557.236
 | 0.09932387 | 8.576407 | 11.74675 | 1.983975 | 2.331499 | 1189.075 | 1557.236
 | 0.09932387 | 8.576407 | 11.74675 | 1.984975 | 2.332499 | 1189.16 | 1557.295
 | 0.09932387 | 8.576407 | 11.74675 | 1.984975 | 2.330499 | 1189.16 | 1557.177
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 1
 | X | = | 0.0993239 | 8.57641 | 11.7468 | 1.98497 | 2.3315
 | G | = | 310.672 | -7.81321 | 1.06897 | 85.0194 | 59.4768
 | Iteration | 1
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 4 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -107350 | 20843000
 | Distance | to | the | next | break | point | = | 0.00028752
 | Distance | to | the | stationary | point | = | 0.0051501
 | Variable | 1 | is | fixed.
 | Piece | 2 | f1, | f2 | at | start | point | -10063 | 2246300
 | Distance | to | the | next | break | point | = | 0.02306
 | Distance | to | the | stationary | point | = | 0.0044797
 | GCP | found | in | this | segment
 | Piece | 2 | f1, | f2 | at | start | point | -10063 | 2246300
 | Distance | to | the | stationary | point | = | 0.0044797
 | Cauchy | X | = | 0.01 | 8.61365 | 11.7417 | 1.57967 | 2.04796
 | ---------------- | exit | CAUCHY----------------------
 | Variable | 4 | enters | the | set | of | free | variables
 | 0 | variables | leave; | 1 | variables | enter
 | 0 | variables | leave; | 1 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 2
 | 0.01 | 8.710894 | 11.86464 | 1.518022 | 2.086757 | 1235.372 | 1466.455
 | 0.011 | 8.710894 | 11.86464 | 1.518022 | 2.086757 | 1234.628 | 1467.288
 | 0.01 | 8.710894 | 11.86464 | 1.518022 | 2.086757 | 1235.372 | 1466.455
 | 0.01 | 8.711894 | 11.86464 | 1.518022 | 2.086757 | 1235.406 | 1466.452
 | 0.01 | 8.709894 | 11.86464 | 1.518022 | 2.086757 | 1235.339 | 1466.458
 | 0.01 | 8.710894 | 11.86564 | 1.518022 | 2.086757 | 1235.37 | 1466.461
 | 0.01 | 8.710894 | 11.86364 | 1.518022 | 2.086757 | 1235.375 | 1466.449
 | 0.01 | 8.710894 | 11.86464 | 1.519022 | 2.086757 | 1235.335 | 1466.455
 | 0.01 | 8.710894 | 11.86464 | 1.517022 | 2.086757 | 1235.41 | 1466.455
 | 0.01 | 8.710894 | 11.86464 | 1.518022 | 2.087757 | 1235.372 | 1466.476
 | 0.01 | 8.710894 | 11.86464 | 1.518022 | 2.085757 | 1235.372 | 1466.433
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.563831
 | X | = | 0.01 | 8.71089 | 11.8646 | 1.51802 | 2.08676
 | G | = | 88.912 | 31.023 | 3.53729 | -37.4684 | 21.5117
 | Iteration | 2
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 3 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -2841.6 | 1438600
 | Distance | to | the | next | break | point | = | 0.097006
 | Distance | to | the | stationary | point | = | 0.0019753
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -2841.6 | 1438600
 | Distance | to | the | stationary | point | = | 0.0019753
 | Cauchy | X | = | 0.01 | 8.64962 | 11.8576 | 1.59203 | 2.04427
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 3
 | 0.01 | 8.573569 | 11.73724 | 1.636367 | 2.066479 | 1231.95 | 1466.653
 | 0.011 | 8.573569 | 11.73724 | 1.636367 | 2.066479 | 1231.204 | 1467.489
 | 0.01 | 8.573569 | 11.73724 | 1.636367 | 2.066479 | 1231.95 | 1466.653
 | 0.01 | 8.574569 | 11.73724 | 1.636367 | 2.066479 | 1231.955 | 1466.65
 | 0.01 | 8.572569 | 11.73724 | 1.636367 | 2.066479 | 1231.946 | 1466.656
 | 0.01 | 8.573569 | 11.73824 | 1.636367 | 2.066479 | 1231.948 | 1466.643
 | 0.01 | 8.573569 | 11.73624 | 1.636367 | 2.066479 | 1231.953 | 1466.663
 | 0.01 | 8.573569 | 11.73724 | 1.637367 | 2.066479 | 1231.964 | 1466.653
 | 0.01 | 8.573569 | 11.73724 | 1.635367 | 2.066479 | 1231.937 | 1466.653
 | 0.01 | 8.573569 | 11.73724 | 1.636367 | 2.067479 | 1231.95 | 1466.67
 | 0.01 | 8.573569 | 11.73724 | 1.636367 | 2.065479 | 1231.95 | 1466.636
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.222498
 | X | = | 0.01 | 8.57357 | 11.7372 | 1.63637 | 2.06648
 | G | = | 89.2742 | 2.03794 | -11.9091 | 13.4437 | 16.6426
 | Iteration | 3
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 3 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -603.69 | 147050
 | Distance | to | the | next | break | point | = | 0.12172
 | Distance | to | the | stationary | point | = | 0.0041054
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -603.69 | 147050
 | Distance | to | the | stationary | point | = | 0.0041054
 | Cauchy | X | = | 0.01 | 8.5652 | 11.7861 | 1.58117 | 1.99815
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 4
 | 0.01 | 8.560537 | 11.7839 | 1.586897 | 1.990327 | 1231.559 | 1465.751
 | 0.011 | 8.560537 | 11.7839 | 1.586897 | 1.990327 | 1230.798 | 1466.603
 | 0.01 | 8.560537 | 11.7839 | 1.586897 | 1.990327 | 1231.559 | 1465.751
 | 0.01 | 8.561537 | 11.7839 | 1.586897 | 1.990327 | 1231.561 | 1465.748
 | 0.01 | 8.559537 | 11.7839 | 1.586897 | 1.990327 | 1231.557 | 1465.754
 | 0.01 | 8.560537 | 11.7849 | 1.586897 | 1.990327 | 1231.556 | 1465.747
 | 0.01 | 8.560537 | 11.7829 | 1.586897 | 1.990327 | 1231.561 | 1465.755
 | 0.01 | 8.560537 | 11.7839 | 1.587897 | 1.990327 | 1231.555 | 1465.751
 | 0.01 | 8.560537 | 11.7839 | 1.585897 | 1.990327 | 1231.563 | 1465.751
 | 0.01 | 8.560537 | 11.7839 | 1.586897 | 1.991327 | 1231.559 | 1465.75
 | 0.01 | 8.560537 | 11.7839 | 1.586897 | 1.989327 | 1231.559 | 1465.752
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.102925
 | X | = | 0.01 | 8.56054 | 11.7839 | 1.5869 | 1.99033
 | G | = | 91.4636 | -0.301318 | -6.734 | -4.39556 | -1.27218
 | Iteration | 4
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 0 | breakpoints
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -66.377 | 16185
 | Distance | to | the | stationary | point | = | 0.0041012
 | Cauchy | X | = | 0.01 | 8.56177 | 11.8115 | 1.60492 | 1.99554
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 5
 | 0.01 | 8.57848 | 11.83378 | 1.597706 | 1.991855 | 1231.488 | 1465.648
 | 0.011 | 8.57848 | 11.83378 | 1.597706 | 1.991855 | 1230.72 | 1466.508
 | 0.01 | 8.57848 | 11.83378 | 1.597706 | 1.991855 | 1231.488 | 1465.648
 | 0.01 | 8.57948 | 11.83378 | 1.597706 | 1.991855 | 1231.494 | 1465.645
 | 0.01 | 8.57748 | 11.83378 | 1.597706 | 1.991855 | 1231.483 | 1465.65
 | 0.01 | 8.57848 | 11.83478 | 1.597706 | 1.991855 | 1231.486 | 1465.65
 | 0.01 | 8.57848 | 11.83278 | 1.597706 | 1.991855 | 1231.491 | 1465.645
 | 0.01 | 8.57848 | 11.83378 | 1.598706 | 1.991855 | 1231.488 | 1465.648
 | 0.01 | 8.57848 | 11.83378 | 1.596706 | 1.991855 | 1231.489 | 1465.648
 | 0.01 | 8.57848 | 11.83378 | 1.597706 | 1.992855 | 1231.488 | 1465.647
 | 0.01 | 8.57848 | 11.83378 | 1.597706 | 1.990855 | 1231.488 | 1465.648
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.0541231
 | X | = | 0.01 | 8.57848 | 11.8338 | 1.59771 | 1.99186
 | G | = | 92.6428 | 3.07257 | -0.185698 | -0.292344 | -0.681713
 | Iteration | 5
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 1 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -10.025 | 1968.7
 | Distance | to | the | next | break | point | = | 2.792
 | Distance | to | the | stationary | point | = | 0.0050924
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -10.025 | 1968.7
 | Distance | to | the | stationary | point | = | 0.0050924
 | Cauchy | X | = | 0.01 | 8.56283 | 11.8347 | 1.59919 | 1.99533
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 6
 | 0.01 | 8.562266 | 11.83585 | 1.596947 | 1.996242 | 1231.416 | 1465.695
 | 0.011 | 8.562266 | 11.83585 | 1.596947 | 1.996242 | 1230.644 | 1466.56
 | 0.01 | 8.562266 | 11.83585 | 1.596947 | 1.996242 | 1231.416 | 1465.695
 | 0.01 | 8.563266 | 11.83585 | 1.596947 | 1.996242 | 1231.419 | 1465.692
 | 0.01 | 8.561266 | 11.83585 | 1.596947 | 1.996242 | 1231.413 | 1465.697
 | 0.01 | 8.562266 | 11.83685 | 1.596947 | 1.996242 | 1231.413 | 1465.697
 | 0.01 | 8.562266 | 11.83485 | 1.596947 | 1.996242 | 1231.418 | 1465.692
 | 0.01 | 8.562266 | 11.83585 | 1.597947 | 1.996242 | 1231.415 | 1465.695
 | 0.01 | 8.562266 | 11.83585 | 1.595947 | 1.996242 | 1231.417 | 1465.695
 | 0.01 | 8.562266 | 11.83585 | 1.596947 | 1.997242 | 1231.416 | 1465.695
 | 0.01 | 8.562266 | 11.83585 | 1.596947 | 1.995242 | 1231.416 | 1465.694
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.0169402
 | X | = | 0.01 | 8.56227 | 11.8359 | 1.59695 | 1.99624
 | G | = | 93.3202 | 0.0231669 | 0.0870196 | -0.541407 | 0.466784
 | Iteration | 6
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 3 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -0.51912 | 158.63
 | Distance | to | the | next | break | point | = | 4.2766
 | Distance | to | the | stationary | point | = | 0.0032726
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -0.51912 | 158.63
 | Distance | to | the | stationary | point | = | 0.0032726
 | Cauchy | X | = | 0.01 | 8.56219 | 11.8356 | 1.59872 | 1.99471
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 7
 | 0.01 | 8.562081 | 11.83508 | 1.59846 | 1.99429 | 1231.417 | 1465.693
 | 0.011 | 8.562081 | 11.83508 | 1.59846 | 1.99429 | 1230.645 | 1466.558
 | 0.01 | 8.562081 | 11.83508 | 1.59846 | 1.99429 | 1231.417 | 1465.693
 | 0.01 | 8.563081 | 11.83508 | 1.59846 | 1.99429 | 1231.419 | 1465.69
 | 0.01 | 8.561081 | 11.83508 | 1.59846 | 1.99429 | 1231.414 | 1465.696
 | 0.01 | 8.562081 | 11.83608 | 1.59846 | 1.99429 | 1231.414 | 1465.695
 | 0.01 | 8.562081 | 11.83408 | 1.59846 | 1.99429 | 1231.419 | 1465.691
 | 0.01 | 8.562081 | 11.83508 | 1.59946 | 1.99429 | 1231.417 | 1465.693
 | 0.01 | 8.562081 | 11.83508 | 1.59746 | 1.99429 | 1231.417 | 1465.693
 | 0.01 | 8.562081 | 11.83508 | 1.59846 | 1.99529 | 1231.417 | 1465.693
 | 0.01 | 8.562081 | 11.83508 | 1.59846 | 1.99329 | 1231.417 | 1465.693
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.00259402
 | X | = | 0.01 | 8.56208 | 11.8351 | 1.59846 | 1.99429
 | G | = | 93.2984 | -0.012252 | -0.0142671 | 0.0286391 | -0.042512
 | Iteration | 7
 | ---------------- | CAUCHY | entered-------------------
 | There | are | 1 | breakpoints
 | Piece | 1 | f1, | f2 | at | start | point | -0.0029811 | 0.83515
 | Distance | to | the | next | break | point | = | 55.814
 | Distance | to | the | stationary | point | = | 0.0035696
 | GCP | found | in | this | segment
 | Piece | 1 | f1, | f2 | at | start | point | -0.0029811 | 0.83515
 | Distance | to | the | stationary | point | = | 0.0035696
 | Cauchy | X | = | 0.01 | 8.56212 | 11.8351 | 1.59836 | 1.99444
 | ---------------- | exit | CAUCHY----------------------
 | 0 | variables | leave; | 0 | variables | enter
 | 4 | variables | are | free | at | GCP | on | iteration | 8
 | 0.01 | 8.562147 | 11.83518 | 1.598385 | 1.994455 | 1231.417 | 1465.693
 | 0.011 | 8.562147 | 11.83518 | 1.598385 | 1.994455 | 1230.644 | 1466.558
 | 0.01 | 8.562147 | 11.83518 | 1.598385 | 1.994455 | 1231.417 | 1465.693
 | 0.01 | 8.563147 | 11.83518 | 1.598385 | 1.994455 | 1231.419 | 1465.69
 | 0.01 | 8.561147 | 11.83518 | 1.598385 | 1.994455 | 1231.414 | 1465.696
 | 0.01 | 8.562147 | 11.83618 | 1.598385 | 1.994455 | 1231.414 | 1465.695
 | 0.01 | 8.562147 | 11.83418 | 1.598385 | 1.994455 | 1231.419 | 1465.691
 | 0.01 | 8.562147 | 11.83518 | 1.599385 | 1.994455 | 1231.417 | 1465.693
 | 0.01 | 8.562147 | 11.83518 | 1.597385 | 1.994455 | 1231.417 | 1465.693
 | 0.01 | 8.562147 | 11.83518 | 1.598385 | 1.995455 | 1231.417 | 1465.693
 | 0.01 | 8.562147 | 11.83518 | 1.598385 | 1.993455 | 1231.417 | 1465.693
 | LINE | SEARCH | 0 | times; | norm | of | step | = | 0.000219139
 | X | = | 0.01 | 8.56215 | 11.8352 | 1.59839 | 1.99445
 | G | = | 93.2999 | 0.00011525 | -0.000522588 | 0.000376688 | 0.000545144
 | iterations | 8
 | function | evaluations | 9
 | segments | explored | during | Cauchy | searches | 11
 | BFGS | updates | skipped | 0
 | active | bounds | at | final | generalized | Cauchy | point | 1
 | norm | of | the | final | projected | gradient | 0.000545144
 | final | function | value | 2697.11
 | X | = | 0.01 | 8.56215 | 11.8352 | 1.59839 | 1.99445
 | F | = | 2697.11
 | final | value | 2697.109624
 | converged