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

Number of nonzeros in constraint Jacobian............:       12
Number of nonzeros in Lagrangian Hessian.............:       78

Total number of variables............................:       12
                     variables with only lower bounds:        0
                variables with lower and upper bounds:       12
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        1
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  3.0479616e-02 0.00e+00 4.52e-02 9.17e-01  -1.0     -   0.00e+00  0  0 
   1  3.0459258e-02 1.62e-16 1.00e-04 1.41e-05  -1.7     -   2.50e-01  1  3f
   2  3.0133361e-02 7.28e-17 1.47e-04 4.39e-05  -5.7     -   1.00e+00  3  1f
   3  2.7223104e-02 1.55e-16 2.15e-04 3.34e-05  -5.7     -   1.00e+00  6  1f
   4  2.6183231e-02 2.13e-16 2.95e-04 2.90e-05  -5.7     -   1.00e+00  2  1f
   5  2.5879190e-02 1.70e-16 8.25e-08 3.58e-05  -5.7     -   1.00e+00  2  1f
   6  2.5809412e-02 2.10e-16 4.85e-15 6.86e-06  -5.7     -   1.00e+00  3  1f
   7  2.5792369e-02 3.40e-16 1.15e-06 4.21e-07  -8.6     -   1.00e+00  2  1f
   8  2.5791815e-02 1.38e-16 1.95e-11 4.37e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   2.5791814808208850e-02    2.5791814808208850e-02
Dual infeasibility......:   1.9518714769461987e-11    1.9518714769461987e-11
Constraint violation....:   1.3800538403024865e-16    1.3800538403024865e-16
Complementarity.........:   4.3692504143653948e-09    4.3692504143653948e-09
Overall NLP error.......:   4.3692504143653948e-09    4.3692504143653948e-09

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 8
Number of KKT backsolves                              = 22

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.041 s

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