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.............:   599992

Total number of variables............................:   100000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:   100000
                     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  5.6250562e+09 0.00e+00 1.00e+02 9.50e+00  -1.0     -   0.00e+00  0  0 
   1  1.1698001e+09 0.00e+00 4.31e+01 8.30e-01  -1.0     -   5.63e-01  1  1f
   2  4.3929190e+08 0.00e+00 2.27e+01 1.83e-01  -1.0     -   4.52e-01  1  1f
   3  3.1473227e+08 0.00e+00 9.37e+00 1.83e-01  -1.0     -   3.52e-01  1  1f
   4  2.6450326e+08 0.00e+00 1.54e-13 1.74e-01  -1.0     -   1.00e+00  1  1f
   5  2.2942816e+08 0.00e+00 1.18e-01 2.89e-02  -2.5     -   1.00e+00  1  1f
   6  2.2656598e+08 0.00e+00 1.93e-14 8.67e-03  -2.5     -   1.00e+00  1  1f
   7  2.2509168e+08 0.00e+00 3.19e-03 2.31e-03  -3.8     -   1.00e+00  1  1f
   8  2.2508143e+08 0.00e+00 9.69e-15 6.40e-04  -3.8     -   1.00e+00  1  1f
   9  2.2500322e+08 0.00e+00 6.84e-05 1.51e-04  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.2500318e+08 0.00e+00 1.00e-14 3.35e-05  -5.7     -   1.00e+00  1  1f
  11  2.2500317e+08 0.00e+00 7.98e-15 6.79e-06  -5.7     -   1.00e+00  1  1f
  12  2.2500221e+08 0.00e+00 3.90e-08 5.64e-07  -8.6     -   1.00e+00  1  1f
  13  2.2500221e+08 0.00e+00 9.28e-15 7.53e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   4.2857563107653863e+04    2.2500220631518278e+08
Dual infeasibility......:   9.2807389210936251e-15    4.8723879335741532e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   1.4338465315362679e-12    7.5276942905654060e-09
Overall NLP error.......:   7.5276942905654060e-09    7.5276942905654060e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 13
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.611 s
Total wall secs in linear solver                      =  0.300 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.023 s
Total wall secs                                       =  0.939 s

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