mu 100000, steps 500, ftime 0.5

 ode solution 
Vec Object: 1 MPI processes
  type: seq
1.59677
-1.03038

 sensitivity wrt initial conditions: d[y(tf)]/d[y0]  d[y(tf)]/d[z0]
Vec Object: 1 MPI processes
  type: seq
1.54557
4.80704e-06

 sensitivity wrt initial conditions: d[z(tf)]/d[y0]  d[z(tf)]/d[z0]
Vec Object: 1 MPI processes
  type: seq
2.28429
0.000244399

 sensitivity wrt parameters: d[y(tf)]/d[mu]
Vec Object: 1 MPI processes
  type: seq
-2.13117e-11

 sensivitity wrt parameters: d[z(tf)]/d[mu]
Vec Object: 1 MPI processes
  type: seq
-1.2979e-10
