Is there a minimum execution time for the command FindRoot? If so, can I get rid of it?
For example, if I compute the time to solve the fundtion x=0, it takes around 0.27ms per evaluation:
In[581]:= AbsoluteTiming[Do[FindRoot[x, {x, 300}], {try, 1, 100}]]
Out[581]= {0.0270027, Null}
However, this is virtually the same time as it takes to solve a much more complex equation system {x=0,y=0,z=0}
In[580]:= AbsoluteTiming[Do[FindRoot[{x, y, z}, {{x, 300}, {y, 300}, {z, 300}}], {try, 1, 100}]]
Out[580]= {0.0280028, Null}
Since I am running findroot many times (the actual system is more complicated), I care about this "fixed" running cost. Is there a way to get rid of it?