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optimpacklegacy-tests.out
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#
# Problem 1 (N=3): Helical valley function.
# Method 0 (NDIR=3): Limited Memory BFGS (VMLM with NDIR=3)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.071 +2.500000000000000e+03 1.9e+03 0.0e+00
1 6 0.367 +1.910948827875357e+03 1.6e+03 1.8e-04
2 7 0.467 +2.944162369708686e+02 3.5e+02 1.0e+00
3 8 0.556 +1.711293389605035e+02 2.7e+02 1.0e+00
4 9 0.641 +9.582728025285034e+00 4.6e+01 1.0e+00
5 11 0.761 +7.412554617417109e+00 1.3e+01 5.2e-01
6 12 0.843 +7.119176562267234e+00 5.2e+00 1.0e+00
7 13 0.912 +6.985437148751355e+00 4.9e+00 1.0e+00
8 14 0.993 +5.868339071857055e+00 2.0e+01 1.0e+00
9 15 1.067 +4.111439147882399e+00 2.5e+01 1.0e+00
10 16 1.144 +1.975727653512913e+00 3.4e+00 1.0e+00
11 18 1.241 +1.557532162714174e+00 8.8e+00 2.9e-01
12 20 1.327 +1.260314778603561e+00 1.0e+01 4.1e-01
13 21 1.369 +7.431471403367108e-01 8.7e+00 1.0e+00
14 23 1.429 +6.128107394596966e-01 1.0e+01 2.6e-01
15 24 1.468 +3.101939102607833e-01 5.4e+00 1.0e+00
16 25 1.507 +1.074587518192935e-01 1.1e+00 1.0e+00
17 27 1.566 +6.936586352459943e-02 3.1e+00 4.0e-01
18 28 1.605 +2.202458572817540e-02 4.9e+00 1.0e+00
19 29 1.643 +5.433457555928039e-03 2.8e+00 1.0e+00
20 30 1.681 +2.408862707492465e-04 2.4e-01 1.0e+00
21 31 1.719 +5.749006131601541e-05 1.5e-01 1.0e+00
22 32 1.758 +1.257482167221782e-05 6.1e-02 1.0e+00
23 33 1.796 +5.488339122013138e-07 1.7e-02 1.0e+00
24 35 1.854 +1.294226706346813e-07 4.8e-03 4.1e-01
25 36 1.926 +2.873489714165597e-08 2.1e-03 1.0e+00
26 37 1.968 +3.764535177636439e-09 1.2e-03 1.0e+00
27 38 2.008 +2.792672375419671e-09 1.3e-03 1.0e+00
28 39 2.047 +1.658444352199562e-12 3.5e-05 1.0e+00
29 40 2.086 +1.000141751211209e-12 3.5e-05 1.0e+00
30 41 2.124 +4.864972990179670e-14 2.7e-06 1.0e+00
31 42 2.163 +3.535653524118686e-14 1.7e-06 1.0e+00
32 43 2.217 +1.264082744534799e-15 8.1e-07 1.0e+00
33 44 2.288 +7.927480389636572e-17 1.6e-07 1.0e+00
34 45 2.331 +1.302493283855713e-17 8.2e-08 1.0e+00
35 46 2.371 +7.155896710544309e-18 8.4e-08 1.0e+00
36 47 2.409 +9.451248654198428e-22 6.8e-10 1.0e+00
37 48 2.447 +2.465151668097422e-23 1.2e-10 1.0e+00
38 49 2.486 +3.157081920421170e-24 5.7e-11 1.0e+00
39 50 2.524 +1.803726756856616e-25 1.2e-11 1.0e+00
40 51 2.563 +5.447558845945283e-29 1.5e-13 1.0e+00
41 52 2.602 +1.202053367851413e-29 9.6e-14 1.0e+00
42 53 2.672 +7.207487169919125e-30 6.5e-14 1.0e+00
43 54 2.730 +8.554747718776363e-32 5.1e-15 1.0e+00
44 55 2.772 +4.020955403528957e-33 2.3e-15 1.0e+00
45 57 2.831 +5.491443121160877e-34 1.7e-16 1.9e-01
46 58 2.870 +1.107916925373986e-39 2.4e-19 1.0e+00
47 59 2.909 +1.303766869771707e-69 1.3e-33 1.0e+00
48 60 2.950 +1.477538853335716e-100 4.2e-49 1.0e+00
49 61 2.990 +5.150115815968991e-115 5.4e-57 1.0e+00
50 62 3.040 +6.574001404628985e-126 4.0e-62 1.0e+00
51 63 3.089 +4.524786573207478e-137 2.5e-67 1.0e+00
52 64 3.170 +1.289055602921889e-148 3.9e-73 1.0e+00
53 65 3.248 +3.359278337479035e-163 4.3e-81 1.0e+00
54 66 3.325 +1.559011787071266e-179 6.2e-89 1.0e+00
55 67 3.402 +1.409323205593404e-195 1.4e-96 1.0e+00
56 68 3.476 +7.725508661911950e-209 3.0e-103 1.0e+00
57 69 3.650 +7.549572347694949e-228 2.1e-113 1.0e+00
58 70 3.701 +2.219065324961785e-245 7.4e-122 1.0e+00
59 71 3.746 +4.690931615285577e-259 2.5e-128 1.0e+00
60 72 3.787 +6.809327200521176e-271 2.8e-134 1.0e+00
61 73 3.829 +8.904356367265096e-286 2.2e-142 1.0e+00
62 74 3.870 +2.212689196890772e-302 2.3e-150 1.0e+00
63 75 3.912 +0.000000000000000e+00 1.5e-159 1.0e+00
63 75 3.933 +0.000000000000000e+00 1.5e-159 1.0e+20
# opl_csrch_start: initial G >= 0
#
#
# Problem 2 (N=6): Biggs exp6 function.
# Method 0 (NDIR=6): Limited Memory BFGS (VMLM with NDIR=6)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.251 +7.790700756559702e-01 2.6e+00 0.0e+00
1 3 0.780 +7.428981362266197e-01 2.3e+00 5.9e-03
2 4 1.038 +5.369952012079827e-01 1.1e+00 1.0e+00
3 5 1.285 +4.589544763283051e-01 1.2e+00 1.0e+00
4 6 1.534 +3.168551252511902e-01 6.8e-01 1.0e+00
5 7 1.775 +2.938065845617281e-01 1.0e-01 1.0e+00
6 8 2.046 +2.923101077649436e-01 3.6e-02 1.0e+00
7 9 2.287 +2.920410639600833e-01 3.9e-02 1.0e+00
8 10 2.525 +2.905701576385121e-01 6.4e-02 1.0e+00
9 11 2.763 +2.851493303956874e-01 1.5e-01 1.0e+00
10 12 3.009 +2.718363487625881e-01 3.2e-01 1.0e+00
11 13 3.252 +2.558265965650104e-01 5.1e-01 1.0e+00
12 14 3.494 +2.110002474791001e-01 4.9e-01 1.0e+00
13 15 3.737 +1.765565212189998e-01 1.1e+00 1.0e+00
14 16 3.975 +7.510005958481414e-02 2.7e-01 1.0e+00
15 18 4.427 +4.024702006988864e-02 8.6e-02 3.5e-01
16 19 4.741 +3.960985595940956e-02 2.3e-02 1.0e+00
17 20 4.980 +3.949176530224388e-02 2.5e-02 1.0e+00
18 21 5.214 +3.760419056742092e-02 4.1e-02 1.0e+00
19 22 5.446 +3.307681784707857e-02 1.0e-01 1.0e+00
20 23 5.678 +3.030294736871385e-02 1.6e-01 1.0e+00
21 24 5.935 +2.065484935133693e-02 1.4e-01 1.0e+00
22 25 6.014 +1.512176228688260e-02 9.7e-02 1.0e+00
23 26 6.091 +1.259062898493095e-02 2.2e-01 1.0e+00
24 28 6.240 +9.845133069486568e-03 1.1e-02 3.8e-01
25 29 6.318 +8.217634958827526e-03 3.6e-02 1.0e+00
26 30 6.395 +6.887691876819320e-03 2.6e-02 1.0e+00
27 32 6.544 +6.498157588360723e-03 1.6e-02 4.8e-01
28 33 6.622 +5.891994786115327e-03 2.1e-02 1.0e+00
29 34 6.699 +5.738600011916666e-03 1.1e-02 1.0e+00
30 35 6.783 +5.689805037912259e-03 8.0e-03 1.0e+00
31 36 6.857 +5.672149536433890e-03 1.5e-02 1.0e+00
32 38 7.000 +5.656672789819857e-03 1.2e-03 2.2e-01
33 39 7.075 +5.655861809119072e-03 6.3e-04 1.0e+00
34 40 7.149 +5.655664144587912e-03 1.0e-04 1.0e+00
35 41 7.224 +5.655649938235929e-03 6.7e-06 1.0e+00
36 43 7.367 +5.655649925889348e-03 2.5e-06 2.0e-01
37 44 7.441 +5.655649925500024e-03 3.0e-08 1.0e+00
38 45 7.516 +5.655649925499943e-03 8.0e-10 1.0e+00
# FRTOL test satisfied
#
#
# Problem 3 (N=3): Gaussian function.
# Method 0 (NDIR=3): Limited Memory BFGS (VMLM with NDIR=3)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.047 +3.888106991166885e-06 7.5e-03 0.0e+00
1 2 0.102 +1.658239354936514e-08 2.6e-04 1.4e-01
2 3 0.151 +1.176731986342108e-08 1.2e-05 1.0e+00
3 5 0.245 +1.167695445112957e-08 1.1e-05 5.0e+00
4 6 0.286 +1.127967495239581e-08 2.1e-06 1.0e+00
5 7 0.328 +1.127932769619585e-08 1.9e-10 1.0e+00
6 8 0.388 +1.127932769619039e-08 3.0e-15 1.0e+00
# FRTOL test satisfied
#
#
# Problem 4 (N=2): Powell badly scaled function.
# Method 0 (NDIR=2): Limited Memory BFGS (VMLM with NDIR=2)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.007 +1.135261717348378e+00 2.0e+04 0.0e+00
1 3 0.025 +1.351881734192902e-01 2.7e-01 5.0e-09
2 13 0.066 +1.350805897995114e-01 9.0e+01 3.5e+05
3 14 0.075 +1.345851785408310e-01 2.8e+02 1.0e+00
4 15 0.084 +1.329372869393015e-01 6.9e+02 1.0e+00
5 16 0.093 +1.279999734184132e-01 1.3e+03 1.0e+00
6 17 0.101 +1.051223668853598e-01 2.2e+03 1.0e+00
7 19 0.113 +5.321575745887926e-02 1.6e+02 4.0e-01
8 21 0.125 +4.497343049207764e-02 1.9e+03 2.9e-01
9 22 0.134 +3.494971063508604e-02 2.0e+03 1.0e+00
10 24 0.146 +3.047044831261917e-02 5.3e+00 3.8e-02
11 25 0.154 +1.768395284908450e-02 5.4e+02 1.0e+00
12 26 0.163 +1.131796444899313e-02 2.2e+03 1.0e+00
13 27 0.171 +7.068747799124734e-03 3.0e+03 1.0e+00
14 28 0.180 +3.812526704748448e-03 2.6e+03 1.0e+00
15 29 0.188 +2.871827035106807e-03 5.5e+02 1.0e+00
16 30 0.196 +2.435726905172837e-03 2.4e+02 1.0e+00
17 31 0.205 +2.236325821830558e-03 7.7e+02 1.0e+00
18 32 0.213 +1.924002288856247e-03 8.7e+02 1.0e+00
19 33 0.222 +1.277301235774586e-03 1.4e+03 1.0e+00
20 35 0.234 +6.793176982969730e-04 4.9e+02 3.9e-01
21 37 0.246 +4.933712278361772e-04 2.0e+02 2.5e-01
22 38 0.254 +4.589822506957514e-04 5.6e+02 1.0e+00
23 39 0.263 +3.928638255809593e-04 4.5e+02 1.0e+00
24 40 0.271 +2.410895490821282e-04 2.3e+02 1.0e+00
25 41 0.279 +1.764491099974747e-04 1.1e+02 1.0e+00
26 43 0.291 +1.341320477892420e-04 1.9e+02 3.0e-01
27 44 0.300 +1.175107353870160e-04 4.9e+02 1.0e+00
28 45 0.308 +8.475240367995805e-05 1.4e+02 1.0e+00
29 46 0.317 +6.064109225336310e-05 1.2e+02 1.0e+00
30 47 0.325 +4.271045920231527e-05 1.3e+02 1.0e+00
31 49 0.337 +3.235603590793745e-05 7.3e+01 1.7e-01
32 51 0.349 +3.005387824398178e-05 1.5e+02 4.0e-01
33 52 0.358 +2.573245428320135e-05 1.7e+02 1.0e+00
34 54 0.370 +2.074625572537708e-05 7.0e+01 2.9e-01
35 55 0.378 +1.580262084472524e-05 1.6e+02 1.0e+00
36 56 0.387 +1.412364123011355e-05 4.8e+01 1.0e+00
37 57 0.395 +1.108965493862549e-05 4.7e+01 1.0e+00
38 58 0.404 +7.609891315865919e-06 4.7e+01 1.0e+00
39 63 0.426 +7.457473541824307e-06 9.8e+00 7.6e-07
40 64 0.435 +5.961658898632923e-06 1.1e+02 1.0e+00
41 65 0.443 +5.339221300449559e-06 1.9e+01 1.0e+00
42 66 0.452 +4.440106762138885e-06 2.6e+01 1.0e+00
43 68 0.464 +3.945755161839598e-06 6.2e+01 4.1e-01
44 69 0.472 +2.879078972456398e-06 7.9e+01 1.0e+00
45 71 0.484 +2.447764387229571e-06 4.7e+00 3.0e-01
46 72 0.493 +2.066662810075264e-06 2.3e+01 1.0e+00
47 74 0.504 +1.941785482428286e-06 4.5e+01 3.0e-01
48 75 0.513 +1.646137363230693e-06 4.2e+01 1.0e+00
49 77 0.525 +1.542778660790018e-06 7.8e-01 9.6e-02
50 78 0.533 +1.300363730270123e-06 2.4e+01 1.0e+00
51 80 0.545 +1.229454967726579e-06 4.1e+01 4.3e-01
52 81 0.554 +1.009770325778497e-06 2.4e+01 1.0e+00
53 82 0.562 +8.701666483575640e-07 1.3e+01 1.0e+00
54 84 0.574 +8.355003828504050e-07 2.7e+01 2.3e-01
55 85 0.590 +7.295497481127000e-07 3.0e+01 1.0e+00
56 87 0.603 +6.463849976985747e-07 1.0e+01 4.1e-01
57 89 0.615 +5.709166244832728e-07 4.3e+00 4.8e-01
58 91 0.627 +5.393681937921529e-07 1.9e+01 1.6e-01
59 92 0.636 +5.092815220753024e-07 2.5e+01 1.0e+00
60 93 0.644 +4.183048002459766e-07 1.2e+01 1.0e+00
61 94 0.653 +3.790938095777037e-07 2.2e+01 1.0e+00
62 95 0.661 +2.563989738373962e-07 1.0e+01 1.0e+00
63 97 0.673 +2.507372328532565e-07 9.5e-01 3.2e-01
64 98 0.681 +2.187022182781738e-07 1.2e+01 1.0e+00
65 99 0.690 +2.098342550401530e-07 2.3e+01 1.0e+00
66 100 0.698 +1.774101291365522e-07 3.9e+00 1.0e+00
67 101 0.706 +1.606199073553792e-07 1.6e+01 1.0e+00
68 102 0.715 +1.485717375417818e-07 7.5e+00 1.0e+00
69 104 0.727 +1.353570944424115e-07 1.0e+01 5.1e-01
70 105 0.735 +1.207298873153211e-07 1.2e+01 1.0e+00
71 107 0.747 +1.111744396496127e-07 4.8e+00 7.1e-02
72 108 0.756 +9.904293217076756e-08 1.4e+01 1.0e+00
73 109 0.764 +9.517810822963259e-08 1.6e+00 1.0e+00
74 110 0.772 +8.817990019684524e-08 3.3e+00 1.0e+00
75 112 0.784 +8.299489879233901e-08 7.7e+00 2.4e-01
76 113 0.792 +7.657732921304076e-08 1.7e+01 1.0e+00
77 114 0.801 +6.719401186113337e-08 7.0e+00 1.0e+00
78 115 0.809 +5.959549639576181e-08 2.8e+00 1.0e+00
79 117 0.821 +5.832022751026549e-08 6.7e+00 4.2e-01
80 118 0.829 +5.616623073481833e-08 6.9e+00 1.0e+00
81 120 0.841 +5.323534487752413e-08 1.9e+00 1.2e-01
82 121 0.849 +4.745573685737915e-08 8.4e+00 1.0e+00
83 122 0.857 +4.509470324010591e-08 3.0e+00 1.0e+00
84 123 0.866 +3.980777494579341e-08 6.8e+00 1.0e+00
85 124 0.874 +3.649589319883712e-08 4.9e+00 1.0e+00
86 125 0.883 +3.234729731605485e-08 1.0e+00 1.0e+00
87 127 0.904 +3.098799980718578e-08 4.4e+00 1.8e-01
88 128 0.926 +2.935596177712411e-08 7.4e+00 1.0e+00
89 129 0.939 +2.599446462606212e-08 2.9e+00 1.0e+00
90 131 0.958 +2.442548600294253e-08 4.5e+00 5.0e-01
91 132 0.972 +2.172171099374484e-08 6.0e+00 1.0e+00
92 134 0.993 +1.956221796045499e-08 1.9e+00 2.4e-01
93 136 1.014 +1.809373356558532e-08 1.8e-01 3.6e-01
94 138 1.035 +1.728512382206502e-08 5.6e+00 1.5e-01
95 139 1.050 +1.666026556869383e-08 2.5e+00 1.0e+00
96 140 1.064 +1.531481922961237e-08 1.4e+00 1.0e+00
97 142 1.085 +1.428839790250569e-08 3.5e+00 4.0e-01
98 143 1.099 +1.323454746023985e-08 7.4e+00 1.0e+00
99 144 1.114 +1.171950025465921e-08 3.8e+00 1.0e+00
100 145 1.129 +1.025216345513776e-08 1.3e+00 1.0e+00
101 147 1.150 +1.006939926918996e-08 2.7e+00 4.7e-01
102 148 1.164 +9.698631987368340e-09 3.2e+00 1.0e+00
103 149 1.178 +8.169814943645201e-09 2.2e+00 1.0e+00
104 151 1.199 +7.995881435200321e-09 2.6e-03 1.5e-01
105 152 1.214 +7.099042790376404e-09 3.0e+00 1.0e+00
106 153 1.229 +6.648051350483034e-09 2.8e+00 1.0e+00
107 155 1.250 +6.230131063377162e-09 7.4e-01 3.5e-01
108 156 1.263 +5.525798784424019e-09 3.0e+00 1.0e+00
109 157 1.279 +5.231262421807469e-09 1.4e+00 1.0e+00
110 159 1.300 +4.862156963032601e-09 1.7e+00 3.3e-01
111 160 1.315 +4.541115781301017e-09 4.2e+00 1.0e+00
112 161 1.329 +3.627226516188952e-09 2.1e+00 1.0e+00
113 163 1.349 +3.127239171319589e-09 3.4e-01 3.3e-01
114 165 1.370 +3.033396401954286e-09 1.4e+00 2.0e-01
115 166 1.399 +2.936914933995984e-09 1.9e+00 1.0e+00
116 167 1.415 +2.609951999013033e-09 2.1e+00 1.0e+00
117 169 1.436 +2.419356222803722e-09 3.4e-01 5.0e-02
118 170 1.451 +2.113213030329572e-09 1.7e+00 1.0e+00
119 171 1.466 +1.983138150770242e-09 1.8e+00 1.0e+00
120 172 1.481 +1.944005268321363e-09 3.5e+00 1.0e+00
121 174 1.502 +1.361285419704277e-09 1.1e+00 2.5e-01
122 177 1.529 +1.221842343592508e-09 9.0e-01 1.8e-02
123 179 1.550 +1.189666115911880e-09 3.8e-01 5.0e+00
124 180 1.565 +1.025568721218372e-09 5.8e-01 1.0e+00
125 182 1.586 +9.586685830201763e-10 1.2e+00 2.9e-01
126 183 1.602 +8.140454424784482e-10 2.1e+00 1.0e+00
127 184 1.617 +7.380249559970306e-10 1.6e+00 1.0e+00
128 185 1.632 +5.683409232404626e-10 5.4e-01 1.0e+00
129 186 1.646 +5.508535704136423e-10 9.2e-01 1.0e+00
130 187 1.661 +5.005497905983108e-10 1.0e+00 1.0e+00
131 188 1.676 +4.864862923234948e-10 2.1e+00 1.0e+00
132 190 1.697 +2.920478743758564e-10 6.5e-01 2.1e-01
133 193 1.723 +2.497450127279679e-10 4.0e-01 1.7e-02
134 194 1.738 +2.475157329955927e-10 4.7e-01 1.0e+00
135 195 1.753 +2.275705216777083e-10 7.7e-01 1.0e+00
136 196 1.768 +1.805804456769924e-10 6.4e-01 1.0e+00
137 198 1.789 +1.646549783009328e-10 7.3e-02 2.8e-01
138 199 1.804 +1.286665127799549e-10 5.0e-01 1.0e+00
139 200 1.818 +1.186045148409776e-10 8.7e-01 1.0e+00
140 201 1.833 +8.442998798409648e-11 1.7e-01 1.0e+00
141 202 1.848 +6.823350065722879e-11 6.2e-01 1.0e+00
142 203 1.863 +5.622862716140084e-11 2.5e-01 1.0e+00
143 204 1.878 +4.008083625106625e-11 4.8e-01 1.0e+00
144 205 1.893 +3.054533189581110e-11 1.9e-01 1.0e+00
145 207 1.914 +2.417475512768421e-11 2.8e-01 4.6e-01
146 208 1.930 +1.582811211376040e-11 3.1e-01 1.0e+00
147 210 1.973 +1.248923101599273e-11 3.9e-02 1.5e-02
148 211 1.998 +7.429797428344232e-12 1.6e-01 1.0e+00
149 212 2.013 +6.304629355626651e-12 3.1e-01 1.0e+00
150 213 2.028 +2.765314390023142e-12 2.6e-02 1.0e+00
151 214 2.043 +1.368441689033843e-12 7.4e-02 1.0e+00
152 215 2.058 +7.724110463514147e-13 1.2e-01 1.0e+00
153 217 2.079 +1.438395306962089e-13 2.0e-02 2.9e-01
154 218 2.094 +2.666123439795892e-14 2.3e-02 1.0e+00
155 219 2.109 +7.272522126277083e-15 8.9e-03 1.0e+00
156 220 2.124 +1.346750951253727e-16 2.1e-03 1.0e+00
157 221 2.139 +1.630798378025797e-18 2.3e-04 1.0e+00
158 222 2.154 +8.339542189777429e-23 1.8e-08 1.0e+00
159 223 2.169 +7.490457394798265e-23 3.2e-07 1.0e+00
160 224 2.184 +6.217843785054735e-23 5.3e-07 1.0e+00
161 225 2.199 +1.937315204053741e-23 5.7e-07 1.0e+00
162 227 2.220 +8.351261181980269e-24 3.4e-08 1.1e-02
163 228 2.235 +4.930380657631324e-32 4.4e-16 1.0e+00
164 229 2.250 +0.000000000000000e+00 0.0e+00 1.0e+00
# local minimum found
#
#
# Problem 5 (N=3): Box 3-dimensional function.
# Method 0 (NDIR=3): Limited Memory BFGS (VMLM with NDIR=3)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.054 +1.031153810609398e+03 1.5e+02 0.0e+00
1 7 0.359 +4.691573176500114e+02 7.4e+01 2.4e-02
2 9 0.466 +4.428912275418267e+02 1.6e+02 1.9e-01
3 10 0.525 +3.266676325125553e+02 1.1e+02 1.0e+00
4 11 0.583 +4.926573283199564e+01 1.2e+02 1.0e+00
5 12 0.640 +3.125099324454878e+01 7.4e+01 1.0e+00
6 13 0.710 +1.361985329510612e+01 3.3e+01 1.0e+00
7 14 0.762 +6.795881980004665e+00 1.8e+01 1.0e+00
8 15 0.818 +3.190726238307286e+00 9.6e+00 1.0e+00
9 16 0.879 +1.477335790535836e+00 5.0e+00 1.0e+00
10 17 0.940 +6.288134372339198e-01 2.2e+00 1.0e+00
11 18 1.001 +2.613507843083384e-01 1.5e+00 1.0e+00
12 20 1.111 +1.504000252015501e-01 5.4e-01 3.7e-01
13 21 1.168 +4.908003597512779e-02 2.8e-01 1.0e+00
14 22 1.222 +1.265597330222006e-02 2.4e-01 1.0e+00
15 23 1.278 +3.571837724981804e-03 1.3e-01 1.0e+00
16 24 1.335 +1.409861852048190e-03 6.9e-02 1.0e+00
17 25 1.394 +6.818114557120232e-04 5.9e-03 1.0e+00
18 26 1.453 +6.765063817797639e-04 1.5e-03 1.0e+00
19 27 1.520 +6.759116233213838e-04 1.1e-03 1.0e+00
20 28 1.587 +6.750437278689961e-04 1.7e-03 1.0e+00
21 29 1.656 +6.722483796194902e-04 3.3e-03 1.0e+00
22 30 1.723 +6.659579588732588e-04 4.7e-03 1.0e+00
23 31 1.782 +6.508209563957112e-04 8.3e-03 1.0e+00
24 32 1.861 +6.145588240302458e-04 7.8e-03 1.0e+00
25 33 1.920 +5.618844849307765e-04 1.3e-02 1.0e+00
26 34 1.999 +4.484992291643119e-04 2.1e-02 1.0e+00
27 35 2.069 +1.145526456888625e-04 2.9e-02 1.0e+00
28 37 2.174 +7.905440611679654e-05 1.0e-02 2.0e-01
29 38 2.236 +4.117627579530070e-05 1.1e-02 1.0e+00
30 40 2.367 +4.840149871595056e-06 1.4e-03 1.7e-01
31 41 2.413 +1.787097153569584e-09 1.2e-04 1.0e+00
32 43 2.475 +1.506770540993329e-09 5.7e-05 5.0e-02
33 44 2.507 +1.340035735786409e-12 1.6e-06 1.0e+00
34 45 2.539 +3.158143242831632e-17 4.2e-09 1.0e+00
35 46 2.571 +1.316442893466906e-17 3.5e-09 1.0e+00
36 48 2.631 +1.073711424661481e-17 3.9e-09 1.4e-01
37 49 2.664 +7.265003528700954e-20 2.7e-10 1.0e+00
38 50 2.697 +5.744543104189298e-22 3.2e-11 1.0e+00
39 51 2.729 +1.160065782852735e-25 5.2e-13 1.0e+00
40 52 2.762 +5.059093791377029e-26 7.9e-13 1.0e+00
41 53 2.794 +7.901172278423345e-27 2.2e-13 1.0e+00
42 54 2.826 +1.085309286724828e-27 3.6e-14 1.0e+00
43 55 2.900 +9.426271519808887e-30 5.7e-15 1.0e+00
44 56 2.936 +3.069161959375499e-30 1.8e-15 1.0e+00
45 58 3.010 +1.420565926980025e-30 2.8e-15 2.6e-01
46 59 3.048 +2.773339119917620e-32 3.8e-16 1.0e+00
47 60 3.099 +2.465190328815662e-32 2.8e-16 1.0e+00
48 86 3.970 +2.465190328815662e-32 2.8e-16 3.7e-14
# no parameter change
#
#
# Problem 6 (N=10): Variably dimensioned function.
# Method 0 (NDIR=10): Limited Memory BFGS (VMLM with NDIR=10)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.016 +2.198551162500000e+06 4.5e+06 0.0e+00
1 5 0.075 +1.622763247947421e+06 3.6e+06 3.2e-08
2 6 0.093 +3.714758378712633e+05 1.2e+06 1.0e+00
3 7 0.111 +1.372589708173077e+05 5.6e+05 1.0e+00
4 8 0.129 +4.242492046616390e+04 2.3e+05 1.0e+00
5 9 0.146 +1.406730239254383e+04 1.0e+05 1.0e+00
6 10 0.164 +4.547622275641686e+03 4.3e+04 1.0e+00
7 11 0.181 +1.488526714104618e+03 1.9e+04 1.0e+00
8 12 0.198 +4.871216315572431e+02 8.0e+03 1.0e+00
9 13 0.216 +1.606484638774786e+02 3.5e+03 1.0e+00
10 14 0.233 +5.348325695516664e+01 1.5e+03 1.0e+00
11 15 0.250 +1.808012873673271e+01 6.5e+02 1.0e+00
12 16 0.269 +6.234061657111648e+00 2.9e+02 1.0e+00
13 17 0.286 +2.190794701920638e+00 1.3e+02 1.0e+00
14 18 0.337 +7.693293782885511e-01 5.7e+01 1.0e+00
15 19 0.356 +2.525207363330491e-01 2.5e+01 1.0e+00
16 20 0.372 +6.476612328242927e-02 1.1e+01 1.0e+00
17 21 0.389 +8.136388880136878e-03 3.6e+00 1.0e+00
18 22 0.406 +1.586354750410676e-04 5.0e-01 1.0e+00
19 23 0.423 +5.125299729353203e-08 8.9e-03 1.0e+00
20 24 0.441 +5.286065397274799e-15 2.9e-06 1.0e+00
21 25 0.458 +5.897967861691471e-29 3.0e-13 1.0e+00
22 26 0.475 +1.787262988391355e-30 9.1e-15 1.0e+00
23 53 0.782 +1.787262988391355e-30 9.1e-15 1.5e-12
# no parameter change
#
#
# Problem 7 (N=6): Watson function.
# Method 0 (NDIR=6): Limited Memory BFGS (VMLM with NDIR=6)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.291 +3.000000000000000e+01 1.4e+02 0.0e+00
1 2 0.529 +2.112323531057563e+01 1.0e+02 7.3e-03
2 4 0.984 +8.614929619767933e+00 5.1e+01 4.0e-01
3 5 1.227 +5.345387016065473e+00 2.7e+01 1.0e+00
4 6 1.458 +3.067797642109527e+00 1.1e+01 1.0e+00
5 7 1.701 +2.274915708894575e+00 9.0e+00 1.0e+00
6 8 1.931 +5.455576008856107e-01 8.7e+00 1.0e+00
7 9 2.162 +2.523463437560831e-01 3.8e+00 1.0e+00
8 10 2.390 +8.532086791694250e-02 2.3e+00 1.0e+00
9 11 2.619 +2.112307438961702e-02 9.6e-01 1.0e+00
10 12 2.877 +1.069061751254410e-02 1.8e-01 1.0e+00
11 13 3.126 +1.034188884116857e-02 1.3e-01 1.0e+00
12 14 3.355 +1.023249730950831e-02 1.1e-01 1.0e+00
13 15 3.584 +9.937459871838653e-03 1.3e-01 1.0e+00
14 16 3.813 +9.653427106461538e-03 1.4e-01 1.0e+00
15 17 4.044 +9.538906826900152e-03 5.8e-02 1.0e+00
16 18 4.273 +9.505089101885040e-03 1.4e-02 1.0e+00
17 19 4.527 +9.501067083366344e-03 1.1e-02 1.0e+00
18 20 4.755 +9.496552042505397e-03 1.4e-02 1.0e+00
19 21 4.984 +9.474752286626899e-03 3.2e-02 1.0e+00
20 22 5.212 +9.431893594861952e-03 5.4e-02 1.0e+00
21 23 5.441 +9.332965491051386e-03 7.7e-02 1.0e+00
22 25 5.896 +9.302230099418857e-03 1.4e-01 1.8e-01
23 26 6.126 +9.154746437531031e-03 1.1e-01 1.0e+00
24 27 6.355 +8.998834707960368e-03 5.1e-02 1.0e+00
25 28 6.585 +8.927950351768278e-03 3.2e-02 1.0e+00
26 29 6.814 +8.881060852275226e-03 2.5e-02 1.0e+00
27 30 7.075 +8.837699428963692e-03 1.6e-02 1.0e+00
28 31 7.340 +8.818818498432740e-03 2.0e-02 1.0e+00
29 32 7.578 +8.810612914163303e-03 2.3e-02 1.0e+00
30 34 8.046 +8.806754156685781e-03 2.3e-02 2.7e-01
31 35 8.283 +8.799789277990456e-03 2.0e-02 1.0e+00
32 36 8.520 +8.779750396684612e-03 1.0e-02 1.0e+00
33 37 8.757 +8.756046193474271e-03 2.0e-02 1.0e+00
34 38 9.108 +8.710578788462599e-03 3.6e-02 1.0e+00
35 39 9.545 +8.540227974766270e-03 7.4e-02 1.0e+00
36 40 9.968 +8.148637139797800e-03 1.1e-01 1.0e+00
37 42 10.809 +7.985978368944765e-03 3.6e-01 2.3e-01
38 43 11.246 +7.015902518089577e-03 2.4e-01 1.0e+00
39 44 11.667 +5.738268751797510e-03 1.3e-01 1.0e+00
40 45 12.135 +4.699301526557387e-03 8.2e-02 1.0e+00
41 46 12.448 +3.786005786692817e-03 2.7e-01 1.0e+00
42 47 12.683 +3.356831113229648e-03 2.3e-01 1.0e+00
43 48 12.915 +2.773100619180104e-03 8.0e-02 1.0e+00
44 49 13.146 +2.608275326706195e-03 5.6e-02 1.0e+00
45 50 13.377 +2.493442106331490e-03 1.3e-01 1.0e+00
46 51 13.740 +2.369486083400675e-03 1.3e-01 1.0e+00
47 52 13.988 +2.323854693351216e-03 6.1e-02 1.0e+00
48 53 14.267 +2.315875648361071e-03 1.1e-02 1.0e+00
49 55 14.858 +2.313203318120400e-03 1.2e-02 5.0e+00
50 56 15.140 +2.303333896318442e-03 2.2e-02 1.0e+00
51 57 15.371 +2.293510881299302e-03 2.2e-02 1.0e+00
52 58 15.601 +2.289098205080985e-03 1.6e-02 1.0e+00
53 59 15.832 +2.288320396329099e-03 4.5e-03 1.0e+00
54 60 16.062 +2.288079737249570e-03 1.4e-03 1.0e+00
55 61 16.290 +2.288004590269144e-03 2.3e-03 1.0e+00
56 62 16.532 +2.287865329647340e-03 2.8e-03 1.0e+00
57 64 16.985 +2.287811434415814e-03 2.3e-03 2.1e-01
58 65 17.213 +2.287704406002491e-03 7.3e-04 1.0e+00
59 66 17.443 +2.287677790869025e-03 3.6e-04 1.0e+00
60 68 17.893 +2.287676284444183e-03 4.6e-04 1.3e-01
61 69 18.122 +2.287674498336141e-03 3.4e-04 1.0e+00
62 70 18.350 +2.287673037073540e-03 3.2e-04 1.0e+00
63 71 18.578 +2.287670095744777e-03 2.4e-05 1.0e+00
64 72 18.807 +2.287670061687262e-03 2.6e-05 1.0e+00
65 74 19.304 +2.287670054704694e-03 2.1e-06 2.1e-01
66 75 19.533 +2.287670054394308e-03 2.1e-06 1.0e+00
67 77 19.983 +2.287670054337171e-03 4.2e-06 1.4e-01
# FRTOL test satisfied
#
#
# Problem 8 (N=10): Penalty function I.
# Method 0 (NDIR=10): Limited Memory BFGS (VMLM with NDIR=10)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.019 +1.480325653500000e+05 3.0e+04 0.0e+00
1 5 0.111 +1.037365754794568e+05 2.3e+04 5.5e-05
2 6 0.131 +2.429758870114375e+04 7.8e+03 1.0e+00
3 7 0.150 +8.888939939195776e+03 3.7e+03 1.0e+00
4 8 0.169 +2.748523650009811e+03 1.5e+03 1.0e+00
5 9 0.188 +9.056896507857555e+02 6.6e+02 1.0e+00
6 10 0.207 +2.903467021649578e+02 2.8e+02 1.0e+00
7 11 0.226 +9.356601267570366e+01 1.2e+02 1.0e+00
8 12 0.245 +2.980660091470576e+01 5.2e+01 1.0e+00
9 13 0.264 +9.379063366260006e+00 2.2e+01 1.0e+00
10 14 0.282 +2.878679679863269e+00 9.5e+00 1.0e+00
11 15 0.302 +8.462996591648210e-01 4.0e+00 1.0e+00
12 16 0.321 +2.301879845382002e-01 1.6e+00 1.0e+00
13 17 0.340 +5.437306460074511e-02 6.5e-01 1.0e+00
14 18 0.359 +9.917120391041248e-03 2.3e-01 1.0e+00
15 19 0.377 +1.157550632072014e-03 7.0e-02 1.0e+00
16 20 0.395 +1.207519987399165e-04 1.4e-02 1.0e+00
17 21 0.414 +7.481919738978903e-05 1.2e-03 1.0e+00
18 22 0.432 +7.446698181423419e-05 3.8e-05 1.0e+00
19 23 0.451 +7.446640582867034e-05 2.9e-05 1.0e+00
20 24 0.469 +7.446504874139440e-05 4.6e-05 1.0e+00
21 25 0.487 +7.446135057863645e-05 1.0e-04 1.0e+00
22 26 0.506 +7.445171803596128e-05 1.9e-04 1.0e+00
23 27 0.524 +7.442494744538646e-05 3.5e-04 1.0e+00
24 31 0.581 +7.340287670315350e-05 5.3e-04 7.3e+00
25 32 0.600 +7.339565971892467e-05 2.2e-04 1.0e+00
26 33 0.619 +7.321692951337869e-05 3.4e-04 1.0e+00
27 35 0.650 +7.305647332441216e-05 6.3e-04 3.4e-01
28 36 0.669 +7.285371941103610e-05 7.6e-04 1.0e+00
29 37 0.687 +7.252166926229363e-05 1.4e-04 1.0e+00
30 39 0.719 +7.240262078219254e-05 4.7e-04 3.5e-01
31 40 0.737 +7.228724289080436e-05 8.6e-04 1.0e+00
32 41 0.756 +7.206404761676640e-05 2.1e-04 1.0e+00
33 42 0.774 +7.188214467158358e-05 5.0e-04 1.0e+00
34 43 0.793 +7.174646799462592e-05 4.9e-04 1.0e+00
35 44 0.837 +7.160057686869076e-05 3.5e-04 1.0e+00
36 46 0.870 +7.145085867881891e-05 4.9e-05 2.8e-01
37 48 0.901 +7.141486671496383e-05 3.1e-04 1.4e-01
38 49 0.920 +7.138837744398223e-05 3.8e-04 1.0e+00
39 50 0.938 +7.130957583986855e-05 4.5e-04 1.0e+00
40 51 0.957 +7.121517975478707e-05 2.1e-04 1.0e+00
41 52 0.975 +7.116451082120106e-05 4.9e-04 1.0e+00
42 53 0.993 +7.107725205129085e-05 1.1e-05 1.0e+00
43 55 1.025 +7.104241008560064e-05 1.2e-04 4.3e-01
44 57 1.057 +7.102122076334826e-05 2.5e-04 3.2e-01
45 58 1.076 +7.099510229401827e-05 2.7e-04 1.0e+00
46 59 1.094 +7.095151716227726e-05 7.7e-05 1.0e+00
47 61 1.125 +7.093977499517385e-05 1.4e-04 3.7e-01
48 62 1.143 +7.092083639620706e-05 2.5e-04 1.0e+00
49 63 1.162 +7.090238308784593e-05 6.3e-06 1.0e+00
50 64 1.180 +7.089119252316826e-05 7.1e-05 1.0e+00
51 66 1.211 +7.088785017318604e-05 1.1e-04 4.8e-01
52 67 1.230 +7.088219677422307e-05 7.0e-05 1.0e+00
53 68 1.248 +7.087878034651094e-05 1.1e-05 1.0e+00
54 70 1.279 +7.087771302952412e-05 4.2e-05 5.1e-01
55 71 1.298 +7.087682205421251e-05 2.0e-05 1.0e+00
56 72 1.316 +7.087656147617700e-05 3.6e-06 1.0e+00
57 73 1.335 +7.087652471301593e-05 6.3e-06 1.0e+00
58 74 1.353 +7.087651625751587e-05 2.5e-06 1.0e+00
59 75 1.371 +7.087651467094348e-05 3.2e-10 1.0e+00
60 76 1.390 +7.087651467090385e-05 6.4e-11 1.0e+00
# FRTOL test satisfied
#
#
# Problem 9 (N=10): Penalty function II.
# Method 0 (NDIR=10): Limited Memory BFGS (VMLM with NDIR=10)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.033 +1.626527765659671e+02 5.0e+02 0.0e+00
1 5 0.146 +1.052170519754521e+02 3.6e+02 2.7e-04
2 6 0.178 +2.591112353285078e+01 1.3e+02 1.0e+00
3 7 0.209 +8.947636841388649e+00 5.8e+01 1.0e+00
4 8 0.240 +2.449058972955552e+00 2.3e+01 1.0e+00
5 9 0.270 +6.244467389549763e-01 9.3e+00 1.0e+00
6 10 0.301 +1.282481328923665e-01 3.4e+00 1.0e+00
7 11 0.332 +2.748862032656837e-02 1.0e+00 1.0e+00
8 12 0.362 +1.423870870109006e-02 2.6e-01 1.0e+00
9 13 0.393 +1.238885177461458e-02 2.1e-01 1.0e+00
10 14 0.423 +1.000024551922806e-02 2.7e-01 1.0e+00
11 15 0.454 +2.625890387661626e-03 1.1e-01 1.0e+00
12 17 0.512 +1.439229549577227e-03 1.2e-01 3.2e-01
13 18 0.584 +1.135702282582821e-03 1.5e-01 1.0e+00
14 19 0.641 +5.789008082642095e-04 1.0e-01 1.0e+00
15 20 0.689 +3.352045518213886e-04 1.7e-02 1.0e+00
16 21 0.720 +2.974073375327555e-04 1.0e-02 1.0e+00
17 22 0.751 +2.941413290175707e-04 6.6e-04 1.0e+00
18 23 0.782 +2.940844711872493e-04 3.2e-04 1.0e+00
19 24 0.812 +2.940832757727057e-04 8.1e-06 1.0e+00
20 25 0.843 +2.940832734176571e-04 9.0e-06 1.0e+00
21 26 0.874 +2.940832685244140e-04 1.7e-05 1.0e+00
22 27 0.905 +2.940832543148218e-04 3.3e-05 1.0e+00
23 28 0.935 +2.940832182152343e-04 6.1e-05 1.0e+00
24 29 0.966 +2.940831215936094e-04 1.1e-04 1.0e+00
25 30 0.997 +2.940828719892873e-04 1.8e-04 1.0e+00
26 31 1.028 +2.940822317517311e-04 3.0e-04 1.0e+00
27 32 1.059 +2.940807053373574e-04 4.8e-04 1.0e+00
28 33 1.089 +2.940777017644026e-04 7.3e-04 1.0e+00
29 34 1.120 +2.940726628664880e-04 9.3e-04 1.0e+00
30 35 1.165 +2.940620067310471e-04 1.0e-03 1.0e+00
31 36 1.196 +2.940410192873700e-04 7.0e-04 1.0e+00
32 37 1.227 +2.940212176046021e-04 3.4e-04 1.0e+00
33 39 1.282 +2.940139194593592e-04 7.3e-04 3.1e-01
34 40 1.313 +2.939968253388095e-04 1.4e-03 1.0e+00
35 41 1.344 +2.939775447209695e-04 5.0e-04 1.0e+00
36 42 1.375 +2.939592288940016e-04 4.9e-04 1.0e+00
37 44 1.454 +2.939563555213993e-04 8.0e-04 4.2e-01
38 45 1.498 +2.939472009252832e-04 7.1e-04 1.0e+00
39 46 1.529 +2.939287549401304e-04 3.5e-04 1.0e+00
40 48 1.584 +2.939227223171249e-04 7.1e-04 4.0e-01
41 49 1.615 +2.939078184784898e-04 1.1e-03 1.0e+00
42 50 1.646 +2.938948974653617e-04 5.4e-04 1.0e+00
43 51 1.677 +2.938808424983645e-04 5.5e-04 1.0e+00
44 52 1.707 +2.938767339981893e-04 3.6e-04 1.0e+00
45 54 1.763 +2.938713240819876e-04 5.7e-04 3.1e-01
46 55 1.794 +2.938572324819428e-04 4.1e-04 1.0e+00
47 56 1.824 +2.938455802020346e-04 1.4e-05 1.0e+00
48 58 1.880 +2.938409632884672e-04 4.5e-04 1.5e-01
49 59 1.911 +2.938371962301306e-04 6.4e-04 1.0e+00
50 60 1.941 +2.938318894095658e-04 2.8e-04 1.0e+00
51 61 1.972 +2.938283846825899e-04 5.0e-04 1.0e+00
52 62 2.003 +2.938224214178930e-04 5.4e-04 1.0e+00
53 63 2.033 +2.938091779608778e-04 5.7e-04 1.0e+00
54 64 2.064 +2.938045152700017e-04 8.0e-04 1.0e+00
55 66 2.119 +2.937910979391119e-04 1.7e-04 2.1e-01
56 69 2.200 +2.937881804306416e-04 2.1e-04 3.4e-02
57 70 2.231 +2.937875353763888e-04 3.8e-04 1.0e+00
58 71 2.261 +2.937866262660570e-04 3.8e-04 1.0e+00
59 72 2.292 +2.937807016729393e-04 5.2e-04 1.0e+00
60 73 2.323 +2.937756127895566e-04 2.4e-05 1.0e+00
61 75 2.378 +2.937719420201525e-04 3.1e-04 5.3e-01
62 76 2.409 +2.937696010096753e-04 5.9e-04 1.0e+00
63 77 2.439 +2.937662724496813e-04 6.9e-05 1.0e+00
64 78 2.470 +2.937638175068579e-04 2.1e-04 1.0e+00
65 80 2.526 +2.937619857662238e-04 3.9e-04 3.3e-01
66 81 2.556 +2.937596087819190e-04 3.3e-04 1.0e+00
67 82 2.587 +2.937573749634050e-04 1.2e-04 1.0e+00
68 84 2.655 +2.937556296515393e-04 2.8e-04 4.1e-01
69 85 2.686 +2.937525021859996e-04 3.6e-04 1.0e+00
70 86 2.717 +2.937496073088188e-04 9.9e-05 1.0e+00
71 88 2.772 +2.937474673515783e-04 1.9e-04 5.1e-01
72 90 2.828 +2.937467834250974e-04 3.3e-04 5.1e-01
73 91 2.858 +2.937452117260231e-04 2.3e-04 1.0e+00
74 92 2.889 +2.937436274259565e-04 1.3e-04 1.0e+00
75 93 2.919 +2.937422002940461e-04 2.8e-04 1.0e+00
76 94 2.950 +2.937388411901824e-04 1.9e-05 1.0e+00
77 96 3.005 +2.937384149524724e-04 1.4e-04 1.9e-01
78 97 3.036 +2.937375643732544e-04 2.6e-04 1.0e+00
79 98 3.067 +2.937364610685736e-04 1.1e-04 1.0e+00
80 99 3.097 +2.937357275997573e-04 2.6e-04 1.0e+00
81 100 3.128 +2.937345965082325e-04 5.5e-05 1.0e+00
82 102 3.183 +2.937341469817489e-04 9.5e-05 3.4e-01
83 104 3.239 +2.937337410803387e-04 1.2e-04 3.9e-01
84 105 3.269 +2.937331190903222e-04 1.2e-04 1.0e+00
85 107 3.325 +2.937330065616405e-04 1.7e-04 6.4e-02
86 108 3.356 +2.937322965739599e-04 1.2e-05 1.0e+00
87 110 3.411 +2.937318573401410e-04 9.3e-05 5.0e-01
88 111 3.442 +2.937316851947794e-04 1.8e-04 1.0e+00
89 112 3.472 +2.937312912744307e-04 2.3e-05 1.0e+00
90 113 3.510 +2.937309409833193e-04 2.8e-05 1.0e+00
91 115 3.567 +2.937305718335437e-04 1.1e-04 5.2e-01
92 116 3.598 +2.937299062301001e-04 1.3e-04 1.0e+00
93 117 3.629 +2.937287861742988e-04 5.2e-05 1.0e+00
94 119 3.684 +2.937275678509278e-04 1.1e-04 1.9e-01
95 121 3.740 +2.937269471540700e-04 2.2e-04 2.8e-01
96 122 3.771 +2.937248489735636e-04 2.0e-04 1.0e+00
97 123 3.801 +2.937206341084122e-04 1.1e-04 1.0e+00
98 125 3.857 +2.937174124431156e-04 2.1e-04 4.2e-01
99 127 3.913 +2.937104861364330e-04 2.4e-04 3.0e-01
100 128 3.944 +2.937031111590714e-04 1.1e-04 1.0e+00
101 130 3.999 +2.937005240709612e-04 3.6e-04 4.2e-01
102 132 4.055 +2.936963623261375e-04 2.4e-04 3.6e-01
103 133 4.085 +2.936938665401317e-04 3.3e-04 1.0e+00
104 134 4.116 +2.936926383323272e-04 3.9e-04 1.0e+00
105 136 4.172 +2.936897892282374e-04 7.0e-05 3.4e-01
106 137 4.203 +2.936877093404067e-04 5.2e-04 1.0e+00
107 138 4.234 +2.936872456630471e-04 4.5e-05 1.0e+00
108 139 4.264 +2.936852364014197e-04 6.9e-05 1.0e+00
109 141 4.320 +2.936845082504172e-04 1.8e-04 4.7e-01
110 142 4.351 +2.936837455264528e-04 3.1e-04 1.0e+00
111 143 4.382 +2.936824726246530e-04 2.5e-04 1.0e+00
112 144 4.412 +2.936802918941146e-04 1.5e-04 1.0e+00
113 145 4.443 +2.936791770077519e-04 3.8e-04 1.0e+00
114 146 4.474 +2.936759065816461e-04 7.2e-06 1.0e+00
115 148 4.529 +2.936752622157722e-04 1.4e-04 2.6e-01
116 149 4.560 +2.936747330402268e-04 3.0e-04 1.0e+00
117 150 4.591 +2.936737572661361e-04 1.1e-04 1.0e+00
118 151 4.621 +2.936727064634138e-04 1.2e-04 1.0e+00
119 153 4.677 +2.936726985151827e-04 1.1e-04 3.3e-03
120 154 4.708 +2.936720377705375e-04 1.7e-04 1.0e+00
121 155 4.738 +2.936712829419238e-04 1.3e-05 1.0e+00
122 157 4.794 +2.936710137918024e-04 7.2e-05 3.3e-01
123 158 4.825 +2.936709055461736e-04 1.6e-04 1.0e+00
124 159 4.856 +2.936706916915453e-04 4.5e-05 1.0e+00
125 160 4.887 +2.936705389508330e-04 1.7e-05 1.0e+00
126 161 4.917 +2.936704415676508e-04 1.1e-04 1.0e+00
127 162 4.948 +2.936703494274002e-04 8.2e-06 1.0e+00
128 163 4.979 +2.936703021894927e-04 1.1e-05 1.0e+00
129 164 5.010 +2.936702369807766e-04 6.0e-05 1.0e+00
130 165 5.040 +2.936701749402777e-04 5.3e-06 1.0e+00
131 166 5.071 +2.936701103312277e-04 1.1e-05 1.0e+00
132 168 5.127 +2.936700585379944e-04 7.8e-06 4.6e-01
133 169 5.158 +2.936699964877406e-04 4.6e-05 1.0e+00
134 170 5.189 +2.936698988190700e-04 1.1e-05 1.0e+00
135 171 5.220 +2.936698301552539e-04 3.3e-05 1.0e+00
136 172 5.251 +2.936697787085977e-04 4.2e-06 1.0e+00
137 174 5.306 +2.936697491604307e-04 1.8e-05 5.1e-01
138 175 5.337 +2.936697159042946e-04 1.4e-05 1.0e+00
139 176 5.368 +2.936696992566372e-04 4.8e-06 1.0e+00
140 177 5.399 +2.936696974310693e-04 7.3e-06 1.0e+00
141 178 5.447 +2.936696942775711e-04 3.7e-06 1.0e+00
142 179 5.488 +2.936696931675988e-04 4.6e-06 1.0e+00
143 180 5.520 +2.936696916700656e-04 4.1e-06 1.0e+00
144 181 5.550 +2.936696909168245e-04 3.5e-06 1.0e+00
145 182 5.581 +2.936696855930246e-04 2.0e-06 1.0e+00
146 183 5.612 +2.936696746245063e-04 8.2e-06 1.0e+00
147 184 5.643 +2.936696476401176e-04 1.1e-05 1.0e+00
148 185 5.673 +2.936695560090018e-04 1.9e-05 1.0e+00
149 186 5.704 +2.936694055061397e-04 4.0e-05 1.0e+00
150 188 5.767 +2.936691386768589e-04 1.2e-05 3.1e-01
151 189 5.799 +2.936687007473392e-04 1.0e-04 1.0e+00
152 192 5.880 +2.936683275250954e-04 1.1e-05 5.1e-02
153 194 5.936 +2.936681762735998e-04 6.1e-05 1.6e-01
154 195 5.967 +2.936678169443989e-04 1.1e-04 1.0e+00
155 196 5.998 +2.936667670811282e-04 1.6e-04 1.0e+00
156 197 6.029 +2.936651481384487e-04 1.5e-04 1.0e+00
157 198 6.059 +2.936643330607411e-04 3.4e-05 1.0e+00
158 199 6.090 +2.936635725284082e-04 6.7e-05 1.0e+00
159 201 6.146 +2.936629065689367e-04 3.9e-06 3.2e-01
160 203 6.202 +2.936627989486895e-04 8.6e-05 9.8e-02
161 204 6.233 +2.936625088875614e-04 1.0e-04 1.0e+00
162 205 6.264 +2.936621521836127e-04 6.9e-05 1.0e+00
163 206 6.294 +2.936619558170503e-04 7.0e-06 1.0e+00
164 208 6.350 +2.936618898675750e-04 4.4e-05 2.5e-01
165 209 6.381 +2.936618111093248e-04 5.3e-05 1.0e+00
166 210 6.412 +2.936617225892291e-04 1.7e-05 1.0e+00
167 211 6.443 +2.936617006805621e-04 3.4e-05 1.0e+00
168 212 6.473 +2.936616818898662e-04 1.3e-05 1.0e+00
169 213 6.504 +2.936616650047247e-04 9.6e-06 1.0e+00
170 214 6.535 +2.936616518843495e-04 2.4e-06 1.0e+00
171 215 6.566 +2.936616488851714e-04 1.0e-06 1.0e+00
172 216 6.597 +2.936616437482304e-04 8.6e-06 1.0e+00
173 217 6.628 +2.936616391902166e-04 2.8e-06 1.0e+00
174 218 6.659 +2.936616343166407e-04 4.8e-06 1.0e+00
175 219 6.690 +2.936616324952045e-04 3.6e-06 1.0e+00
176 221 6.746 +2.936616314642817e-04 2.8e-06 4.3e-01
177 222 6.777 +2.936616306817622e-04 1.3e-06 1.0e+00
178 223 6.808 +2.936616298963820e-04 2.5e-06 1.0e+00
179 224 6.839 +2.936616295336840e-04 2.4e-06 1.0e+00
180 226 6.895 +2.936616290463849e-04 2.7e-06 1.3e-01
181 227 6.926 +2.936616257495209e-04 1.3e-06 1.0e+00
182 228 6.956 +2.936616211937870e-04 1.5e-06 1.0e+00
183 231 7.037 +2.936616171065611e-04 6.6e-06 4.1e-02
184 232 7.068 +2.936615916728394e-04 7.1e-06 1.0e+00
185 234 7.124 +2.936615721533275e-04 2.4e-05 1.5e-01
186 235 7.155 +2.936614549309486e-04 2.3e-05 1.0e+00
187 237 7.211 +2.936613805544012e-04 5.9e-05 1.7e-01
188 238 7.242 +2.936610535585684e-04 9.2e-05 1.0e+00
189 239 7.273 +2.936608752084589e-04 1.5e-05 1.0e+00
190 241 7.328 +2.936608296643847e-04 4.1e-05 4.1e-01
191 242 7.359 +2.936607675725089e-04 6.1e-05 1.0e+00
192 244 7.415 +2.936607473852439e-04 4.2e-05 1.9e-01
193 245 7.446 +2.936607008972801e-04 5.3e-06 1.0e+00
194 246 7.476 +2.936606785844250e-04 2.9e-05 1.0e+00
195 247 7.507 +2.936606663957117e-04 7.9e-06 1.0e+00
196 248 7.538 +2.936606613405028e-04 6.5e-06 1.0e+00
197 250 7.594 +2.936606604334193e-04 4.7e-06 4.8e-01
198 251 7.624 +2.936606598733860e-04 4.0e-07 1.0e+00
199 252 7.655 +2.936606598180147e-04 4.0e-07 1.0e+00
200 254 7.711 +2.936606597621023e-04 1.4e-06 5.1e-02
201 255 7.742 +2.936606596983696e-04 9.0e-07 1.0e+00
202 256 7.772 +2.936606596146314e-04 3.9e-07 1.0e+00
203 257 7.803 +2.936606594471601e-04 2.1e-07 1.0e+00
204 258 7.834 +2.936606590892545e-04 3.1e-07 1.0e+00
205 260 7.889 +2.936606585818794e-04 4.9e-06 8.7e-02
206 262 7.945 +2.936606526655475e-04 5.6e-06 5.0e+00
207 264 8.001 +2.936606482050740e-04 1.5e-05 1.3e-01
208 265 8.032 +2.936606243105079e-04 1.8e-05 1.0e+00
209 266 8.063 +2.936605828915473e-04 2.5e-05 1.0e+00
210 267 8.094 +2.936605656127283e-04 3.5e-06 1.0e+00
211 268 8.130 +2.936605627755064e-04 1.0e-05 1.0e+00
212 269 8.162 +2.936605616629427e-04 1.5e-06 1.0e+00
213 270 8.193 +2.936605614215442e-04 2.4e-07 1.0e+00
214 271 8.224 +2.936605614073888e-04 4.7e-08 1.0e+00
# FRTOL test satisfied
#
#
# Problem 10 (N=2): Brown badly scaled function.
# Method 0 (NDIR=2): Limited Memory BFGS (VMLM with NDIR=2)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.006 +9.999980000030000e+11 2.0e+06 0.0e+00
1 15 0.062 +7.789402311645330e+11 3.2e+10 6.3e-02
2 17 0.075 +5.257472324699519e+11 7.3e+10 1.8e-01
3 18 0.085 +3.884119650521388e+11 7.1e+11 1.0e+00
4 20 0.097 +3.830975902684055e+10 2.9e+11 1.8e-01
5 22 0.108 +1.341337297211880e+09 5.7e+10 1.7e-01
6 23 0.117 +1.308280478018827e+08 2.2e+10 1.0e+00
7 24 0.126 +6.045412055481531e+06 1.7e+09 1.0e+00
8 25 0.135 +2.674027260343187e+06 1.4e+09 1.0e+00
9 26 0.144 +5.250376296060733e+03 1.4e+08 1.0e+00
10 28 0.156 +2.503236147337093e+02 1.3e+07 2.4e-01
11 29 0.164 +3.596662440634681e-05 3.4e+03 1.0e+00
12 30 0.172 +1.032742453570869e-14 2.0e-01 1.0e+00
13 32 0.184 +4.163657333171021e-16 1.1e-02 9.9e-02
14 33 0.192 +1.424880010056873e-27 7.5e-08 1.0e+00
15 34 0.200 +0.000000000000000e+00 0.0e+00 1.0e+00
# local minimum found
#
#
# Problem 11 (N=4): Brown and Dennis function.
# Method 0 (NDIR=4): Limited Memory BFGS (VMLM with NDIR=4)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.061 +7.926693336997432e+06 2.1e+06 0.0e+00
1 4 0.239 +6.838493505736757e+06 1.9e+06 2.6e-07
2 5 0.337 +2.904677309543106e+06 4.7e+05 1.0e+00
3 6 0.417 +2.447281053759268e+06 2.6e+05 1.0e+00
4 7 0.490 +2.137403076382140e+06 3.0e+05 1.0e+00
5 8 0.551 +1.406326366399870e+06 3.4e+05 1.0e+00
6 9 0.613 +6.295880244578563e+05 1.2e+05 1.0e+00
7 10 0.674 +3.692269857532232e+05 4.6e+04 1.0e+00
8 11 0.735 +2.123590364177149e+05 3.1e+04 1.0e+00
9 13 0.852 +1.891148696538512e+05 6.3e+04 2.1e-01
10 14 0.914 +1.098174526600955e+05 2.9e+04 1.0e+00
11 15 0.975 +8.891758252005327e+04 9.6e+03 1.0e+00
12 17 1.120 +8.603116064008087e+04 1.8e+03 4.7e-01
13 18 1.183 +8.597381421984261e+04 7.4e+02 1.0e+00
14 19 1.244 +8.590351208082162e+04 1.0e+03 1.0e+00
15 20 1.305 +8.585353933622727e+04 9.3e+02 1.0e+00
16 22 1.422 +8.584478141593965e+04 1.5e+03 1.9e-01
17 23 1.483 +8.582422948316117e+04 1.4e+02 1.0e+00
18 24 1.544 +8.582349186850381e+04 9.0e+01 1.0e+00
19 25 1.605 +8.582240201074394e+04 3.7e+01 1.0e+00
20 26 1.667 +8.582221249053901e+04 2.7e+01 1.0e+00
21 27 1.728 +8.582220293081868e+04 9.4e+00 1.0e+00
22 28 1.789 +8.582220235966009e+04 2.8e+00 1.0e+00
23 29 1.850 +8.582220227568492e+04 2.2e+00 1.0e+00
24 30 1.912 +8.582220206809201e+04 1.8e+00 1.0e+00
25 31 1.973 +8.582220172471576e+04 1.4e+00 1.0e+00
26 32 2.033 +8.582220164299408e+04 1.2e+00 1.0e+00
27 34 2.150 +8.582220163140354e+04 1.9e-01 7.4e-02
28 35 2.211 +8.582220163013946e+04 1.7e-01 1.0e+00
# FRTOL test satisfied
#
#
# Problem 12 (N=3): Gulf research and development function.
# Method 0 (NDIR=3): Limited Memory BFGS (VMLM with NDIR=3)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.239 +1.211070582556949e+01 4.0e+01 0.0e+00
1 4 0.956 +8.071915014932339e+00 2.6e+01 3.0e-03
2 6 1.426 +6.624637712928653e+00 1.5e+00 4.3e-01
3 7 1.664 +6.621231844078354e+00 4.2e-01 1.0e+00
4 8 1.901 +6.620907950059960e+00 2.3e-01 1.0e+00
5 9 2.138 +6.620615082305718e+00 2.6e-01 1.0e+00
6 10 2.375 +6.619229685166526e+00 6.5e-01 1.0e+00
7 11 2.611 +6.616258629500010e+00 1.3e+00 1.0e+00
8 12 2.876 +6.607615709030988e+00 2.4e+00 1.0e+00
9 13 3.115 +6.580812474115719e+00 4.1e+00 1.0e+00
10 14 3.352 +6.471879865666266e+00 6.7e+00 1.0e+00
11 17 4.052 +5.676803207222696e+00 6.9e+00 6.6e-01
12 18 4.288 +5.628513662821198e+00 8.3e+00 1.0e+00
13 19 4.525 +5.133044905961890e+00 6.9e+00 1.0e+00
14 20 4.762 +4.691454417598530e+00 5.6e+00 1.0e+00
15 21 4.998 +3.881192492230699e+00 1.8e-01 1.0e+00
16 24 5.697 +9.466077976256596e-01 6.8e+00 7.7e-01
17 25 5.933 +4.562265083026859e-01 9.6e-01 1.0e+00
18 27 6.421 +2.348490716460925e-01 3.5e-01 3.8e-02
19 28 6.656 +1.792432426865920e-02 1.6e+00 1.0e+00
20 29 6.919 +8.211293581134607e-03 8.5e-01 1.0e+00
21 30 7.157 +4.327551359493757e-03 9.5e-03 1.0e+00
22 31 7.392 +4.310313266155136e-03 2.2e-03 1.0e+00
23 32 7.628 +4.309944380164535e-03 5.9e-04 1.0e+00
24 33 7.864 +4.309889519539367e-03 5.7e-04 1.0e+00
25 34 8.099 +4.309374581050368e-03 1.3e-03 1.0e+00
26 36 8.566 +4.309141428174811e-03 5.6e-03 5.6e-02
27 37 8.802 +4.308591978617137e-03 5.0e-03 1.0e+00
28 38 9.038 +4.299565292765903e-03 2.5e-03 1.0e+00
29 39 9.319 +4.255968426858568e-03 7.9e-03 1.0e+00
30 40 9.558 +4.232932010797805e-03 1.2e-01 1.0e+00
31 41 9.794 +4.139563480154446e-03 6.5e-02 1.0e+00
32 42 10.030 +3.964371700205521e-03 2.8e-02 1.0e+00
33 43 10.305 +3.800672584221722e-03 1.2e-01 1.0e+00
34 44 10.553 +3.525244322562369e-03 1.6e-01 1.0e+00
35 45 10.817 +2.547945290699854e-03 3.9e-01 1.0e+00
36 46 11.054 +2.370688637657381e-03 8.5e-02 1.0e+00
37 47 11.290 +1.906934119881517e-03 1.0e-01 1.0e+00
38 48 11.527 +1.765499424227704e-03 3.0e-01 1.0e+00
39 49 11.763 +1.447077156061576e-03 1.6e-01 1.0e+00
40 50 11.999 +9.503307732451050e-04 5.3e-02 1.0e+00
41 52 12.464 +7.866573930635389e-04 1.3e-01 4.5e-01
42 53 12.700 +6.724607430873011e-04 1.1e-01 1.0e+00
43 54 12.936 +5.275684536311095e-04 6.8e-02 1.0e+00
44 55 13.172 +4.174682846534997e-04 2.6e-02 1.0e+00
45 56 13.407 +3.640749266513656e-04 1.2e-02 1.0e+00
46 57 13.643 +1.295253430648733e-04 2.1e-02 1.0e+00
47 59 14.110 +8.851986453513076e-05 3.3e-02 3.2e-02
48 61 14.576 +4.938701533403190e-05 2.3e-02 4.3e-01
49 62 14.844 +2.386330630076840e-05 6.4e-02 1.0e+00
50 63 15.082 +9.405299332751813e-06 1.4e-02 1.0e+00
51 64 15.318 +5.857694613926281e-06 6.2e-03 1.0e+00
52 65 15.554 +5.029342890362181e-06 8.4e-03 1.0e+00
53 66 15.790 +2.288726343810787e-06 2.2e-03 1.0e+00
54 67 16.025 +1.160905618330407e-06 4.6e-03 1.0e+00
55 69 16.493 +5.682540922763968e-07 4.1e-03 3.8e-01
56 70 16.729 +2.843721909067033e-07 1.2e-03 1.0e+00
57 71 16.965 +1.859914905813620e-07 1.6e-04 1.0e+00
58 72 17.201 +1.145106558744719e-07 1.1e-03 1.0e+00
59 73 17.451 +5.868807619188742e-08 8.8e-04 1.0e+00
60 75 17.919 +5.604532329332283e-08 1.5e-03 4.8e-02
61 76 18.156 +1.713692115018558e-08 7.0e-04 1.0e+00
62 77 18.392 +4.739083351717466e-10 5.9e-05 1.0e+00
63 78 18.628 +4.448675509216249e-12 5.5e-06 1.0e+00
64 80 19.120 +3.504854302023866e-12 1.5e-05 1.6e-01
65 81 19.357 +1.416103271914916e-13 3.4e-06 1.0e+00
66 82 19.610 +1.220987439087572e-15 2.5e-07 1.0e+00
67 83 19.869 +1.527928687358112e-19 1.6e-09 1.0e+00
68 84 20.120 +2.213355814939461e-20 1.4e-09 1.0e+00
69 86 20.587 +2.958097160196833e-21 1.4e-10 3.3e-03
70 87 20.824 +1.560817876884160e-24 9.5e-12 1.0e+00
71 89 21.289 +8.864408663799008e-26 6.7e-13 1.1e-01
72 90 21.525 +1.022969727023433e-30 7.5e-15 1.0e+00
73 92 21.992 +1.004495845885006e-30 7.7e-15 4.8e-02
74 95 22.689 +7.907627610410942e-31 1.9e-15 1.9e-03
75 96 22.949 +7.859027971970545e-31 1.9e-15 1.0e+00
76 125 29.654 +7.859027971970545e-31 1.9e-15 1.5e-14
# no parameter change
#
#
# Problem 13 (N=10): Trigonometric function.
# Method 0 (NDIR=10): Limited Memory BFGS (VMLM with NDIR=10)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.031 +7.075759466222607e-03 9.9e-02 0.0e+00
1 5 0.148 +4.583372917784509e-03 8.5e-02 2.7e-01
2 7 0.206 +1.730771018019604e-03 3.4e-02 2.4e-01
3 8 0.238 +1.252528979116239e-03 4.0e-02 1.0e+00
4 9 0.270 +9.570934420407031e-04 1.7e-02 1.0e+00
5 10 0.301 +7.658875086756682e-04 1.3e-02 1.0e+00
6 11 0.333 +5.001592231443234e-04 1.2e-02 1.0e+00
7 12 0.364 +2.972039410177796e-04 1.8e-02 1.0e+00
8 14 0.422 +1.774690160204323e-04 1.8e-02 3.8e-01
9 15 0.454 +8.769294455096351e-05 5.9e-03 1.0e+00
10 16 0.485 +6.835672318998012e-05 4.0e-03 1.0e+00
11 17 0.517 +5.507809301857227e-05 2.6e-03 1.0e+00
12 18 0.549 +4.800345555490465e-05 2.1e-03 1.0e+00
13 19 0.580 +4.465371318855705e-05 2.8e-03 1.0e+00
14 20 0.612 +4.192455121166309e-05 1.1e-03 1.0e+00
15 21 0.643 +4.017407313169425e-05 1.2e-03 1.0e+00
16 22 0.675 +3.278621881200416e-05 3.1e-03 1.0e+00
17 23 0.706 +2.966635954418013e-05 1.7e-03 1.0e+00
18 24 0.738 +2.816239369119548e-05 2.9e-04 1.0e+00
19 25 0.769 +2.810380332018228e-05 2.7e-04 1.0e+00
20 26 0.801 +2.804281412336197e-05 2.9e-04 1.0e+00
21 27 0.833 +2.799629138791449e-05 1.5e-04 1.0e+00
22 28 0.864 +2.795829590595299e-05 6.6e-05 1.0e+00
23 29 0.895 +2.795186931964983e-05 6.0e-05 1.0e+00
24 31 0.953 +2.795067833188804e-05 1.4e-05 4.9e-01
25 32 0.985 +2.795056706158870e-05 3.8e-06 1.0e+00
26 33 1.016 +2.795056206044619e-05 1.7e-06 1.0e+00
27 34 1.048 +2.795056123082142e-05 1.6e-07 1.0e+00
28 35 1.079 +2.795056121974134e-05 3.3e-08 1.0e+00
29 36 1.135 +2.795056121899881e-05 1.5e-08 1.0e+00
# FRTOL test satisfied
#
#
# Problem 14 (N=10): Extended Rosenbrock function.
# Method 0 (NDIR=10): Limited Memory BFGS (VMLM with NDIR=10)
#
# ITER EVAL CPU (ms) FUNC GNORM STEPLEN
# ---------------------------------------------------------------
0 1 0.013 +1.210000000000000e+02 5.2e+02 0.0e+00
1 4 0.054 +8.677518952543237e+01 4.1e+02 1.4e-04
2 5 0.070 +2.217553650238021e+01 5.7e+01 1.0e+00
3 6 0.086 +2.071323492457622e+01 8.8e+00 1.0e+00
4 7 0.110 +2.066793405127262e+01 4.0e+00 1.0e+00
5 8 0.127 +2.064725267152201e+01 4.5e+00 1.0e+00
6 9 0.143 +2.050930394532022e+01 1.2e+01 1.0e+00
7 10 0.159 +2.018710226805106e+01 2.2e+01 1.0e+00
8 15 0.214 +1.314022091097731e+01 2.1e+01 2.6e+00
9 17 0.240 +1.309122377656693e+01 2.6e+01 5.1e-02
10 19 0.266 +1.236804276648485e+01 2.8e+01 5.0e+00
11 20 0.282 +1.067285503345261e+01 3.2e+01 1.0e+00
12 21 0.298 +8.820563255345299e+00 1.3e+01 1.0e+00
13 23 0.323 +7.719005573742221e+00 1.6e+01 5.2e-01
14 24 0.338 +6.580066539938077e+00 2.2e+01 1.0e+00
15 25 0.354 +5.015424425680987e+00 4.5e+00 1.0e+00
16 26 0.369 +4.063077421116407e+00 1.5e+01 1.0e+00
17 27 0.384 +3.524832898228301e+00 6.0e+00 1.0e+00
18 28 0.399 +2.605626271972616e+00 1.3e+01 1.0e+00
19 29 0.415 +1.997744810791260e+00 4.4e+00 1.0e+00
20 31 0.440 +1.650372373349636e+00 1.1e+01 4.5e-01
21 32 0.455 +1.168498545681703e+00 9.8e+00 1.0e+00
22 33 0.470 +8.166508527135881e-01 6.2e+00 1.0e+00
23 35 0.495 +5.350013472136332e-01 3.1e+00 3.6e-01
24 37 0.521 +4.681608619282887e-01 8.2e+00 3.2e-01
25 38 0.536 +3.734871317168695e-01 8.4e+00 1.0e+00
26 39 0.551 +1.818094453576590e-01 3.0e+00 1.0e+00
27 40 0.567 +1.202288370618785e-01 8.6e+00 1.0e+00
28 41 0.582 +3.851361695557379e-02 2.4e-01 1.0e+00
29 42 0.597 +2.085426582201946e-02 5.3e+00 1.0e+00
30 43 0.612 +7.981435935424386e-03 7.0e-01 1.0e+00
31 44 0.628 +2.404758598176377e-03 2.5e-01 1.0e+00
32 45 0.643 +2.732395858928367e-04 6.7e-01 1.0e+00
33 46 0.658 +1.023547715683258e-05 1.6e-02 1.0e+00
34 47 0.673 +1.921032271575747e-08 5.5e-03 1.0e+00
35 48 0.689 +4.766360296504122e-12 3.5e-05 1.0e+00
36 49 0.704 +7.223207313079469e-16 5.9e-07 1.0e+00
37 50 0.719 +9.629871589065773e-26 3.6e-12 1.0e+00
38 51 0.735 +0.000000000000000e+00 0.0e+00 1.0e+00
# local minimum found
#
#
# Problem 15 (N=12): Extended Powell function.
# Method 0 (NDIR=12): Limited Memory BFGS (VMLM with NDIR=12)
#