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

Number of nonzeros in constraint Jacobian............:        3
Number of nonzeros in Lagrangian Hessian.............:        7

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

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0000000e+20 4.40e+00 1.00e+02 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  9.9999960e+19 4.40e+00 1.50e-03 1.98e-06  -1.0     -   2.00e-07  1  1h
   2  0.0000000e+00 4.84e+01 2.74e-14 1.00e-06  -1.0     -   1.00e+00  2  1h
   3  0.0000000e+00 8.88e-15 1.57e-18 1.00e-06  -1.0     -   1.00e+00  2  1h
   4  0.0000000e+00 1.08e-29 6.18e-14 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 4

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   6.1765365337325020e-14    6.1765365337325017e-06
Constraint violation....:   1.0797533640212599e-29    1.0797533640212599e-29
Complementarity.........:   2.5059035606682300e-17    2.5059035606682299e-09
Overall NLP error.......:   2.5059035606682299e-09    2.5059035606682299e-09

Number of objective function evaluations              = 5
Number of objective gradient evaluations              = 5
Number of constraint evaluations                      = 5
Number of constraint Jacobian evaluations             = 5
Number of Lagrangian Hessian evaluations              = 4
Number of KKT factorizations                          = 4
Number of KKT backsolves                              = 6

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.003 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.026 s

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