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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        4

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        1
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 -9.9080000e+01 9.90e-01 4.80e-01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  7.7844531e+01 7.89e-01 6.83e+01 0.00e+00  -1.7     -   2.50e-01  1  3h
   2  8.2503335e+00 9.13e-02 1.45e+00 0.00e+00  -1.7    2.0  1.00e+00  1  1h
   3  3.5357228e+00 4.49e-02 3.32e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   4 -1.3909434e-01 8.65e-03 6.21e-02 0.00e+00  -1.7     -   1.00e+00  1  1H
   5 -8.7199439e-01 1.29e-03 2.32e-03 0.00e+00  -2.5     -   1.00e+00  1  1h
   6 -9.9942451e-01 5.78e-06 1.94e-06 0.00e+00  -3.8     -   1.00e+00  1  1h
   7 -1.0000000e+00 1.21e-11 9.92e-12 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -9.9999999879179313e-01   -9.9999999879179313e-01
Dual infeasibility......:   9.9191765912109986e-12    9.9191765912109986e-12
Constraint violation....:   1.2142731264930262e-11    1.2142731264930262e-11
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.2142731264930262e-11    1.2142731264930262e-11

Number of objective function evaluations              = 12
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 12
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 10

Total wall secs in initialization                     =  0.007 s
Total wall secs in linear solver                      =  0.021 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.012 s
Total wall secs                                       =  0.043 s

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