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)[source]

Return 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

>>> from sage.all import *
>>> from sage.symbolic.complexity_measures import string_length
>>> f = x**Integer(2)
>>> string_length(f)
3