This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:    34988

Total number of variables............................:     5000
                     variables with only lower bounds:     5000
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  2.6480572e+01 0.00e+00 3.94e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  3.8295244e+02 0.00e+00 2.04e+00 1.42e-01  -1.0     -   1.00e+00  1  1f
   2  3.2290293e+02 0.00e+00 1.00e-06 2.61e-01  -1.0     -   1.00e+00  1  1f
   3  1.1373775e+02 0.00e+00 2.00e-07 5.54e-02  -1.7     -   1.00e+00  1  1f
   4  2.5505711e+01 0.00e+00 2.83e-08 1.03e-02  -2.5     -   1.00e+00  1  1f
   5  3.3150785e+00 0.00e+00 1.50e-09 2.66e-03  -3.8     -   1.00e+00  1  1f
   6  5.5231139e-01 0.00e+00 1.50e-09 7.41e-04  -3.8     -   1.00e+00  1  1f
   7 -4.8822336e-01 0.00e+00 1.23e-03 1.92e-04  -5.7     -   9.71e-01  1  1f
   8 -6.8448223e-01 0.00e+00 1.86e-11 4.88e-05  -5.7     -   1.00e+00  1  1f
   9 -7.2900456e-01 0.00e+00 1.84e-11 1.31e-05  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -7.4575260e-01 0.00e+00 7.74e-05 3.33e-06  -8.6     -   9.87e-01  1  1f
  11 -7.4897854e-01 0.00e+00 2.58e-14 8.34e-07  -8.6     -   1.00e+00  2  1f
  12 -7.4975714e-01 0.00e+00 2.53e-14 2.10e-07  -8.6     -   1.00e+00  1  1f
  13 -7.4995178e-01 0.00e+00 2.53e-14 5.37e-08  -8.6     -   1.00e+00  1  1f
  14 -7.5000041e-01 0.00e+00 2.62e-14 1.47e-08  -8.6     -   1.00e+00  1  1f
  15 -7.5001757e-01 0.00e+00 9.44e-15 4.14e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:  -7.5001757387404711e-01   -7.5001757387404711e-01
Dual infeasibility......:   9.4368957093138306e-15    9.4368957093138306e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   4.1436171063758206e-09    4.1436171063758206e-09
Overall NLP error.......:   4.1436171063758206e-09    4.1436171063758206e-09

Number of objective function evaluations              = 16
Number of objective gradient evaluations              = 16
Number of constraint evaluations                      = 16
Number of constraint Jacobian evaluations             = 16
Number of Lagrangian Hessian evaluations              = 15
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.021 s
Total wall secs in linear solver                      =  0.011 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.051 s

EXIT: Optimal Solution Found (tol = 1.0e-08).