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.............:   300003

Total number of variables............................:   100001
                     variables with only lower bounds:   100001
                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  2.0000200e+05 0.00e+00 1.00e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1  3.6750164e+04 0.00e+00 1.00e-06 4.90e-01  -1.0     -   1.00e+00  1  1f
   2  2.2373929e+04 0.00e+00 2.00e-07 1.33e-01  -1.7     -   1.00e+00  1  1f
   3  1.7899613e+04 0.00e+00 2.83e-08 3.46e-02  -2.5     -   1.00e+00  1  1f
   4  1.7073563e+04 0.00e+00 2.83e-08 1.01e-02  -2.5     -   1.00e+00  1  1f
   5  1.6714961e+04 0.00e+00 1.50e-09 2.61e-03  -3.8     -   1.00e+00  1  1f
   6  1.6685302e+04 0.00e+00 1.50e-09 7.29e-04  -3.8     -   1.00e+00  1  1f
   7  1.6667494e+04 0.00e+00 1.84e-11 1.83e-04  -5.7     -   1.00e+00  1  1f
   8  1.6666852e+04 0.00e+00 1.84e-11 4.67e-05  -5.7     -   1.00e+00  1  1f
   9  1.6666777e+04 0.00e+00 1.84e-11 1.26e-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  1.6666585e+04 0.00e+00 2.53e-14 3.16e-06  -8.6     -   1.00e+00  1  1f
  11  1.6666583e+04 0.00e+00 2.51e-14 7.90e-07  -8.6     -   1.00e+00  1  1f
  12  1.6666583e+04 0.00e+00 2.51e-14 1.99e-07  -8.6     -   1.00e+00  1  1f
  13  1.6666583e+04 0.00e+00 2.51e-14 5.10e-08  -8.6     -   1.00e+00  1  1f
  14  1.6666583e+04 0.00e+00 2.51e-14 1.40e-08  -8.6     -   1.00e+00  1  1f
  15  1.6666583e+04 0.00e+00 9.33e-15 3.98e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:   1.6666582925126528e+04    1.6666582925126528e+04
Dual infeasibility......:   9.3258734068513149e-15    9.3258734068513149e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   3.9761189210850722e-09    3.9761189210850722e-09
Overall NLP error.......:   3.9761189210850722e-09    3.9761189210850722e-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                              = 15

Total wall secs in initialization                     =  0.169 s
Total wall secs in linear solver                      =  0.020 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.024 s
Total wall secs                                       =  0.215 s

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