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

Number of nonzeros in constraint Jacobian............:     2001
Number of nonzeros in Lagrangian Hessian.............:     1604

Total number of variables............................:      800
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:      401
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  4.7421877e+00 1.19e+00 8.53e-05 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  5.0580436e+00 2.27e-01 1.58e-03 0.00e+00  -1.0     -   1.00e+00  1  1h
   2  5.0718455e+00 4.35e-03 3.83e-03 0.00e+00  -1.7   -2.0  1.00e+00  1  1h
   3  5.0704790e+00 4.09e-04 3.96e-05 0.00e+00  -3.8     -   1.00e+00  1  1h
   4  5.0687086e+00 1.39e-02 2.09e-04 0.00e+00  -5.7     -   1.00e+00  1  1h
   5  5.0686161e+00 9.58e-04 2.33e-05 0.00e+00  -5.7     -   1.00e+00  1  1h
   6  5.0686216e+00 1.38e-05 4.97e-07 0.00e+00  -5.7     -   1.00e+00  1  1h
   7  5.0686217e+00 7.08e-09 3.76e-10 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   5.0686216945413438e+00    5.0686216945413438e+00
Dual infeasibility......:   3.7590839815915267e-10    3.7590839815915267e-10
Constraint violation....:   7.0841261745613338e-09    7.0841261745613338e-09
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   7.0841261745613338e-09    7.0841261745613338e-09

Number of objective function evaluations              = 8
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 8
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 10
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.010 s
Total wall secs in linear solver                      =  0.022 s
Total wall secs in NLP function evaluations           =  0.007 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.012 s
Total wall secs                                       =  0.051 s

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