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.............:       12

Total number of variables............................:        4
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        1
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  4.5835799e+00 0.00e+00 9.49e-01 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  2.6724440e+00 0.00e+00 6.00e-01 8.30e-03  -1.7     -   1.25e-01  1  4f
   2  2.5194533e+00 0.00e+00 3.89e-01 2.00e-02  -1.7     -   1.00e+00  1  1f
   3  2.4368946e+00 0.00e+00 7.49e-02 2.00e-02  -1.7     -   1.00e+00  1  1f
   4  2.4172278e+00 0.00e+00 4.23e-04 3.02e-03  -2.5     -   1.00e+00  1  1f
   5  2.4143703e+00 0.00e+00 4.30e-06 1.57e-04  -3.8     -   1.00e+00  1  1f
   6  2.4142154e+00 0.00e+00 1.27e-08 1.86e-06  -5.7     -   1.00e+00  1  1f
   7  2.4142136e+00 0.00e+00 1.86e-12 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   2.4142135578104114e+00    2.4142135578104114e+00
Dual infeasibility......:   1.8605117446668373e-12    1.8605117446668373e-12
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5083841001658717e-09    2.5083841001658717e-09
Overall NLP error.......:   2.5083841001658717e-09    2.5083841001658717e-09

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 11

Total wall secs in initialization                     =  0.013 s
Total wall secs in linear solver                      =  0.004 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).