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

Number of nonzeros in constraint Jacobian............:       14
Number of nonzeros in Lagrangian Hessian.............:       12

Total number of variables............................:        4
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        4
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        5
        inequality constraints with only lower bounds:        2
   inequality constraints with lower and upper bounds:        3
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  4.9999950e-02 8.26e+01 3.00e+00 1.20e+03  -1.0     -   0.00e+00  0  0 
   1  5.0041317e-02 8.26e+01 2.79e+00 2.66e+02  -1.0     -   1.03e-08  2  2h
   2  3.5257565e+02 7.53e+01 3.19e+02 1.25e+02  -1.0     -   8.80e-02  2  1h
   3  3.5275768e+02 7.53e+01 1.44e-02 3.97e-03  -1.0     -   4.97e-05  4  1h
   4  4.8519767e+03 5.98e+00 1.06e-01 1.23e-03  -1.0   -4.0  1.00e+00  1  1h
   5  5.0480270e+03 1.67e+00 2.11e-02 2.38e-04  -1.0   -4.5  7.35e-01  1  1h
   6  5.0493013e+03 1.64e+00 2.01e-02 6.20e-05  -1.0   -5.0  1.82e-02  1  1h
   7  5.1738695e+03 1.31e-02 6.52e-04 1.76e-06  -1.0     -   1.00e+00  8  1h
   8  5.1743492e+03 6.82e-04 4.29e-03 1.23e-06  -3.8     -   9.48e-01 10  1h
   9  5.1744128e+03 2.34e-09 1.02e-08 2.74e-07  -3.8     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.1744127e+03 1.88e-13 5.24e-07 3.90e-08  -8.6     -   1.00e+00  2  1f
  11  5.1744127e+03 1.49e-14 2.33e-07 1.02e-08  -8.6     -   1.00e+00  1  1h
  12  5.1744127e+03 1.86e-14 4.57e-13 1.61e-09  -8.6     -   1.00e+00  2  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   5.1744126674383097e+03    5.1744126674383097e+03
Dual infeasibility......:   4.5670033684459604e-13    4.5670033684459604e-13
Constraint violation....:   1.8599985395024396e-14    1.8599985395024396e-14
Complementarity.........:   1.6101285999831922e-09    1.6101285999831922e-09
Overall NLP error.......:   1.6101285999831922e-09    1.6101285999831922e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 66

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.028 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.064 s

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