TraceDepth

TraceDepth
is an option for Trace and related functions which specifies the maximum nesting of evaluation chains that are to be included.

Setting TraceDepth->n keeps only parts down to level n in nested lists generated by Trace.

By setting TraceDepth, you can make Trace and related functions skip over "inner" parts of a computation, making their operation more efficient.

A recursive definition for finding Fibonacci numbers:

Trace only evaluations through depth 3:

Trace all evaluations:

A recursive definition for finding Fibonacci numbers:

Trace only evaluations through depth 3:

Out[2]=

Trace all evaluations:

Out[3]=