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

Number of nonzeros in constraint Jacobian............:   399997
Number of nonzeros in Lagrangian Hessian.............:   399996

Total number of variables............................:   100000
                     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...............:   100000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:   100000
        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 7.50e+01 0.00e+00 2.50e-10  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 7.50e+01 2.24e-14 2.48e-08  -1.0     -   4.55e-10  2  1h
   2  0.0000000e+00 1.43e+01 7.40e-12 1.25e-08  -1.0   -4.0  1.00e+00  2  1h
   3  0.0000000e+00 3.37e+00 2.27e-12 1.25e-08  -1.0   -4.5  1.00e+00  2  1h
   4  0.0000000e+00 5.16e-01 6.26e-13 1.25e-08  -1.0   -5.0  1.00e+00  2  1h
   5  0.0000000e+00 2.28e-02 7.99e-12 1.25e-08  -1.7   -3.6  1.00e+00  1  1h
   6  0.0000000e+00 6.48e-05 8.26e-11 1.25e-08  -3.8   -4.1  1.00e+00  1  1h
   7  0.0000000e+00 5.14e-10 8.60e-11 1.25e-08  -5.7   -2.8  1.00e+00  1  1h
   8  0.0000000e+00 8.46e-15 1.82e-12 9.09e-10  -9.0     -   1.00e+00  2  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   1.8189894038264646e-12    1.8189894038264646e-12
Constraint violation....:   8.4594223986897912e-15    8.4594223986897912e-15
Complementarity.........:   9.0909090909099203e-10    9.0909090909099203e-10
Overall NLP error.......:   9.0909090909099203e-10    9.0909090909099203e-10

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 18
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.201 s
Total wall secs in linear solver                      =  0.061 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.285 s

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