Depth

Depth(expr)

gets the depth of expr.

Depth(expr, Heads->True)

gets the depth of expr with head expressions included.

The depth of an expression is defined as one plus the maximum number of Part indices required to reach any part of expr, except for heads.

Examples

>> Depth(x)
1

>> Depth(x + y)
2

>> Depth({{{{x}}}})
5

Complex numbers are atomic, and hence have depth 1:

>> Depth(1 + 2*I)
1

Generally Depth ignores heads.

>> Depth(f(a, b)[c])
2

But if you include the option Heads->True, the heads depth is included.

Depth(f(a, b)[c], Heads->True)
3

Implementation status

• ✅ - full supported

Github

• Implementation of Depth