mu 1e+06, steps 512, ftime 0.5

 ode solution 
Vec Object: 1 MPI process
  type: seq
1.59677
-1.03039

 forward sensitivity: d[y(tf) z(tf)]/d[mu]
Mat Object: 1 MPI process
  type: seqdense
-2.1313140253978350e-13 
-1.2048891982961686e-12