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

Number of nonzeros in constraint Jacobian............:    45000
Number of nonzeros in Lagrangian Hessian.............:   135000

Total number of variables............................:    10003
                     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...............:     5000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     5000
        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 1.54e+02 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  6.2531616e-13 1.54e+02 3.19e-07 7.88e-07  -1.0     -   3.23e-08  7  1h
   2  1.4951110e+02 6.75e+01 2.53e-03 5.93e-07  -1.0   -4.0  5.00e-01  5  2h
   3  1.3614201e+03 5.51e+01 9.19e-03 3.98e-07  -1.0   -4.5  1.00e+00  4  1h
   4  1.4891570e+03 3.85e+00 1.62e-03 3.98e-07  -1.0   -5.0  1.00e+00  4  1h
   5  1.5136755e+03 6.23e-02 6.31e-05 3.98e-07  -1.0   -5.4  1.00e+00  4  1h
   6  1.5138024e+03 1.60e-04 4.29e-07 3.98e-07  -2.5   -5.9  1.00e+00  2  1h
   7  1.5138023e+03 9.09e-11 1.85e-09 3.98e-07  -5.7   -6.4  1.00e+00  3  1h
   8  1.5138023e+03 8.85e-14 1.76e-10 2.58e-09  -8.6   -6.9  1.00e+00  2  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   1.5138023234514280e+03    1.5138023234514280e+03
Dual infeasibility......:   1.7553425379901455e-10    1.7553425379901455e-10
Constraint violation....:   8.8523633856497467e-14    8.8523633856497467e-14
Complementarity.........:   2.5767760325578544e-09    2.5767760325578544e-09
Overall NLP error.......:   2.5767760325578544e-09    2.5767760325578544e-09

Number of objective function evaluations              = 11
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 11
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 36

Total wall secs in initialization                     =  0.041 s
Total wall secs in linear solver                      =  0.018 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.071 s
Total wall secs                                       =  0.132 s

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