# Complexity Measures¶

Some measures of symbolic expression complexity. Each complexity measure is expected to take a symbolic expression as an argument, and return a number.

sage.symbolic.complexity_measures.string_length(expr)

Returns the length of expr after converting it to a string.

INPUT:

• expr – the expression whose complexity we want to measure.

OUTPUT:

A real number representing the complexity of expr.

RATIONALE:

If the expression is longer on-screen, then a human would probably consider it more complex.

EXAMPLES:

This expression has three characters, x, ^, and 2:

sage: from sage.symbolic.complexity_measures import string_length
sage: f = x^2
sage: string_length(f)
3