     Solving sample problem.
      (f = 0.0 at the optimal solution.)
           * * *
        RUNNING THE L-BFGS-B CODE
           * * *
Machine precision = 2.22e-16
 N =       1000
 M =         10
At X0, 0 variables are exactly at the bounds
At iterate     0, f(x)= 1.44e+05, ||proj grad||_infty = 1.03e+02
At iterate     1, f(x)= 9.982262e+04, ||proj grad||_infty = 4.922195e+01
Iterate 1, nfg = 5, f = 9.982262e+04, |proj g| = 4.922195e+01
At iterate     2, f(x)= 5.976715e+03, ||proj grad||_infty = 7.297336e+00
Iterate 2, nfg = 6, f = 5.976715e+03, |proj g| = 7.297336e+00
At iterate     3, f(x)= 3.028853e+03, ||proj grad||_infty = 7.409564e+00
Iterate 3, nfg = 7, f = 3.028853e+03, |proj g| = 7.409564e+00
At iterate     4, f(x)= 7.162140e+02, ||proj grad||_infty = 6.005269e+00
Iterate 4, nfg = 8, f = 7.162140e+02, |proj g| = 6.005269e+00
At iterate     5, f(x)= 2.209463e+02, ||proj grad||_infty = 4.080218e+00
Iterate 5, nfg = 9, f = 2.209463e+02, |proj g| = 4.080218e+00
At iterate     6, f(x)= 5.614733e+01, ||proj grad||_infty = 5.174355e+00
Iterate 6, nfg = 10, f = 5.614733e+01, |proj g| = 5.174355e+00
At iterate     7, f(x)= 3.391452e+01, ||proj grad||_infty = 2.095764e+01
Iterate 7, nfg = 11, f = 3.391452e+01, |proj g| = 2.095764e+01
At iterate     8, f(x)= 1.363200e+00, ||proj grad||_infty = 9.932311e+00
Iterate 8, nfg = 12, f = 1.363200e+00, |proj g| = 9.932311e+00
At iterate     9, f(x)= 3.507707e-01, ||proj grad||_infty = 5.910992e+00
Iterate 9, nfg = 13, f = 3.507707e-01, |proj g| = 5.910992e+00
At iterate    10, f(x)= 1.524659e-02, ||proj grad||_infty = 6.135996e-01
Iterate 10, nfg = 14, f = 1.524659e-02, |proj g| = 6.135996e-01
At iterate    11, f(x)= 7.363122e-03, ||proj grad||_infty = 3.398842e-01
Iterate 11, nfg = 15, f = 7.363122e-03, |proj g| = 3.398842e-01
At iterate    12, f(x)= 1.251237e-03, ||proj grad||_infty = 1.178032e-01
Iterate 12, nfg = 16, f = 1.251237e-03, |proj g| = 1.178032e-01
At iterate    13, f(x)= 4.685857e-04, ||proj grad||_infty = 7.224773e-02
Iterate 13, nfg = 17, f = 4.685857e-04, |proj g| = 7.224773e-02
At iterate    14, f(x)= 5.500221e-05, ||proj grad||_infty = 4.404138e-02
Iterate 14, nfg = 18, f = 5.500221e-05, |proj g| = 4.404138e-02
At iterate    15, f(x)= 1.825869e-05, ||proj grad||_infty = 1.499850e-02
Iterate 15, nfg = 19, f = 1.825869e-05, |proj g| = 1.499850e-02
At iterate    16, f(x)= 6.795328e-06, ||proj grad||_infty = 7.058051e-03
Iterate 16, nfg = 20, f = 6.795328e-06, |proj g| = 7.058051e-03
At iterate    17, f(x)= 1.598027e-06, ||proj grad||_infty = 3.578468e-03
Iterate 17, nfg = 21, f = 1.598027e-06, |proj g| = 3.578468e-03
At iterate    18, f(x)= 4.671677e-07, ||proj grad||_infty = 2.963293e-03
Iterate 18, nfg = 22, f = 4.671677e-07, |proj g| = 2.963293e-03
At iterate    19, f(x)= 1.612238e-07, ||proj grad||_infty = 1.611253e-03
Iterate 19, nfg = 24, f = 1.612238e-07, |proj g| = 1.611253e-03
At iterate    20, f(x)= 5.270544e-08, ||proj grad||_infty = 6.798989e-04
Iterate 20, nfg = 25, f = 5.270544e-08, |proj g| = 6.798989e-04
At iterate    21, f(x)= 2.217056e-08, ||proj grad||_infty = 3.985534e-04
Iterate 21, nfg = 26, f = 2.217056e-08, |proj g| = 3.985534e-04
At iterate    22, f(x)= 7.856990e-09, ||proj grad||_infty = 8.293006e-04
Iterate 22, nfg = 27, f = 7.856990e-09, |proj g| = 8.293006e-04
At iterate    23, f(x)= 2.573673e-09, ||proj grad||_infty = 3.958432e-04
Iterate 23, nfg = 28, f = 2.573673e-09, |proj g| = 3.958432e-04
At iterate    24, f(x)= 9.395134e-10, ||proj grad||_infty = 8.047445e-05
Iterate 24, nfg = 29, f = 9.395134e-10, |proj g| = 8.047445e-05
At iterate    25, f(x)= 5.422084e-10, ||proj grad||_infty = 5.751037e-05
Iterate 25, nfg = 30, f = 5.422084e-10, |proj g| = 5.751037e-05
At iterate    26, f(x)= 1.139039e-10, ||proj grad||_infty = 3.884549e-05
Iterate 26, nfg = 31, f = 1.139039e-10, |proj g| = 3.884549e-05
At iterate    27, f(x)= 2.192699e-11, ||proj grad||_infty = 2.489289e-05
Iterate 27, nfg = 32, f = 2.192699e-11, |proj g| = 2.489289e-05
At iterate    28, f(x)= 5.892466e-12, ||proj grad||_infty = 5.985587e-06
Iterate 28, nfg = 34, f = 5.892466e-12, |proj g| = 5.985587e-06
At iterate    29, f(x)= 3.058862e-12, ||proj grad||_infty = 3.883599e-06
Iterate 29, nfg = 35, f = 3.058862e-12, |proj g| = 3.883599e-06
At iterate    30, f(x)= 6.649221e-13, ||proj grad||_infty = 2.576547e-06
Iterate 30, nfg = 36, f = 6.649221e-13, |proj g| = 2.576547e-06
At iterate    31, f(x)= 1.829837e-13, ||proj grad||_infty = 1.541633e-06
Iterate 31, nfg = 37, f = 1.829837e-13, |proj g| = 1.541633e-06
At iterate    32, f(x)= 5.060202e-14, ||proj grad||_infty = 1.460675e-06
Iterate 32, nfg = 38, f = 5.060202e-14, |proj g| = 1.460675e-06
At iterate    33, f(x)= 2.035494e-14, ||proj grad||_infty = 2.889053e-07
Iterate 33, nfg = 39, f = 2.035494e-14, |proj g| = 2.889053e-07
At iterate    34, f(x)= 1.276969e-14, ||proj grad||_infty = 2.093311e-07
Iterate 34, nfg = 40, f = 1.276969e-14, |proj g| = 2.093311e-07
At iterate    35, f(x)= 2.591255e-15, ||proj grad||_infty = 2.754059e-07
Iterate 35, nfg = 41, f = 2.591255e-15, |proj g| = 2.754059e-07
At iterate    36, f(x)= 1.136391e-15, ||proj grad||_infty = 1.138967e-07
Iterate 36, nfg = 43, f = 1.136391e-15, |proj g| = 1.138967e-07
At iterate    37, f(x)= 5.294165e-16, ||proj grad||_infty = 6.220498e-08
Iterate 37, nfg = 44, f = 5.294165e-16, |proj g| = 6.220498e-08
At iterate    38, f(x)= 1.240964e-16, ||proj grad||_infty = 2.304038e-08
Iterate 38, nfg = 45, f = 1.240964e-16, |proj g| = 2.304038e-08
At iterate    39, f(x)= 3.146429e-17, ||proj grad||_infty = 1.567789e-08
Iterate 39, nfg = 46, f = 3.146429e-17, |proj g| = 1.567789e-08
At iterate    40, f(x)= 1.566384e-17, ||proj grad||_infty = 1.194980e-08
Iterate 40, nfg = 47, f = 1.566384e-17, |proj g| = 1.194980e-08
At iterate    41, f(x)= 2.802902e-18, ||proj grad||_infty = 4.463876e-09
Iterate 41, nfg = 48, f = 2.802902e-18, |proj g| = 4.463876e-09
At iterate    42, f(x)= 1.328367e-18, ||proj grad||_infty = 2.558811e-09
Iterate 42, nfg = 49, f = 1.328367e-18, |proj g| = 2.558811e-09
At iterate    43, f(x)= 2.545523e-19, ||proj grad||_infty = 1.175054e-09
Iterate 43, nfg = 50, f = 2.545523e-19, |proj g| = 1.175054e-09
At iterate    44, f(x)= 8.239432e-20, ||proj grad||_infty = 9.017134e-10
Iterate 44, nfg = 52, f = 8.239432e-20, |proj g| = 9.017134e-10
At iterate    45, f(x)= 2.796030e-20, ||proj grad||_infty = 8.629080e-10
Iterate 45, nfg = 53, f = 2.796030e-20, |proj g| = 8.629080e-10
At iterate    46, f(x)= 1.087236e-20, ||proj grad||_infty = 2.444569e-10
Iterate 46, nfg = 54, f = 1.087236e-20, |proj g| = 2.444569e-10
At iterate    47, f(x)= 5.324637e-21, ||proj grad||_infty = 1.663203e-10
Iterate 47, nfg = 55, f = 5.324637e-21, |proj g| = 1.663203e-10
At iterate    48, f(x)= 1.265893e-21, ||proj grad||_infty = 1.902395e-10
Iterate 48, nfg = 56, f = 1.265893e-21, |proj g| = 1.902395e-10
At iterate    49, f(x)= 5.351418e-22, ||proj grad||_infty = 9.744640e-11
Iterate 49, nfg = 58, f = 5.351418e-22, |proj g| = 9.744640e-11
Final X = 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 ... 
 ...(suppressing some output)...
 ... 1.002761e+00 1.005530e+00 1.011091e+00 1.022305e+00 1.045108e+00 1.092251e+00 1.193012e+00 1.423278e+00 2.025719e+00 4.103537e+00 
           * * * 
Tit   = total number of iterations
Tnf   = total number of function evaluations
Tnint = total number of segments explored during Cauchy searches
Skip  = number of BFGS updates skipped
Nact  = number of active bounds at final generalized Cauchy point
Projg = norm of the final projected gradient
F     = final function value
           * * * 
   N    Tit   Tnf  Tnint  Skip  Nact      Projg        F
 1000    49    58  1524     0     2     9.744640e-11 5.351418e-22
F(x) = 5.351418398e-22
33
Cauchy                time 6.826e-03 seconds.
Subspace minimization time 1.955e-02 seconds.
Line search           time 2.150e-03 seconds.
 Total User time 3.395e-02 seconds.