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

Number of nonzeros in constraint Jacobian............:    10000
Number of nonzeros in Lagrangian Hessian.............:     7500

Total number of variables............................:     5000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:     5000
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:     2501
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     2501
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 2.50e+03 0.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1 -1.2847970e-12 2.50e+03 7.34e-05 6.35e-05  -1.0     -   1.00e-07  1  2h
   2 -1.1999968e-07 2.50e+01 3.80e-07 5.37e-06  -1.0     -   9.90e-01  2  1h
   3 -1.2067867e-09 2.50e-01 3.52e-06 3.00e-06  -1.0     -   9.90e-01  2  1h
   4 -1.8623369e-07 2.48e-03 3.47e-04 3.00e-06  -1.7     -   9.90e-01  1  1h
   5 -4.0976614e-08 8.32e-08 8.90e-10 2.98e-06  -3.8     -   1.00e+00  1  1h
   6  6.9652517e-09 1.27e-08 5.54e-03 9.72e-09  -8.6     -   1.00e+00  1  1h
   7 -3.9005784e-06 1.89e-11 2.22e-16 4.31e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -3.9005783644384000e-06   -3.9005783644384000e-06
Dual infeasibility......:   2.2204460492503131e-16    2.2204460492503131e-16
Constraint violation....:   1.8926431710603794e-11    1.8926431710603794e-11
Complementarity.........:   4.3061014515259686e-09    4.3061014515259686e-09
Overall NLP error.......:   4.3061014515259686e-09    4.3061014515259686e-09

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.028 s
Total wall secs in linear solver                      =  0.014 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.065 s

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