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eval() Function Complexity

The eval() function evaluates one Python expression and returns its value. Given a string, it compiles the string first, on every call: nothing is cached. Given a code object from compile(), it skips compilation and only runs the code.

n is the length of the source: characters in a str, bytes in a bytes. v is the local variables in the function that calls eval(). The expression's own cost - the calls it makes, the objects it builds - belongs to the expression and is added to every bound below.

Complexity Reference

eval()

Operation	Time	Space	Notes
eval(source) with a str or bytes source	O(n) + the expression's cost	O(n) + the expression's cost	Compiles on every call; leading spaces and tabs are skipped
eval(code) with a code object	The expression's cost	The expression's cost	No compilation. Code compiled in 'exec' mode runs and returns None; code with free variables raises TypeError
eval(source, globals)	O(1) more	O(1) more	globals must be a dict; __builtins__ is added to it if missing, and locals defaults to it
eval(source, globals, locals)	O(1) more	O(1) more	locals may be any mapping
eval(source) or eval(code) inside a function, without globals	O(v²) more on 3.13+, O(v) more on 3.11 and 3.12	O(v) more	Copies the function's local variables into a dict on every call; passing globals skips the copy
Invalid source	O(n)	O(n)	Raises SyntaxError, for a statement or an empty string too; an undefined name raises NameError only when evaluated

Compile Once, Evaluate Many Times

eval() given a string compiles it every time. Compiling it once and passing the code object leaves only the evaluation. An audit hook shows each compilation as it happens.

import sys

compiled = []
sys.addaudithook(lambda event, args: compiled.append(args[1]) if event == "compile" else None)

x = 3
for _ in range(100):
    assert eval("x ** 2") == 9  # O(n) per call - compiles the string each time
assert compiled.count("<string>") == 100

code = compile("x ** 2", "<expr>", "eval")  # O(n), once
for _ in range(100):
    assert eval(code) == 9  # no compilation, only the expression runs
assert compiled.count("<expr>") == 1

Namespaces

Without arguments, eval() uses the caller's globals and locals. globals must be a real dict; if it has no __builtins__ key, eval() adds one, so builtins stay reachable. locals may be any mapping, and defaults to globals when only globals is given.

import collections

namespace = {"x": 10, "y": 20}
assert eval("x + y", namespace) == 30  # O(n)
assert "__builtins__" in namespace  # added on first use
assert eval("len('abc')", {}) == 3  # builtins are reachable from an empty dict

layers = collections.ChainMap({"a": 1}, {"b": 2})
assert eval("a + b", {}, layers) == 3  # locals may be any mapping

try:
    eval("a", layers)
except TypeError as error:
    assert "dict" in str(error)
else:
    raise AssertionError("a ChainMap was accepted as globals")

Inside a Function

Called in a function with no namespaces, eval() first copies the function's local variables into a dict, on every call. That is O(v) on 3.11 and 3.12 and O(v²) on 3.13+. Passing a dict as globals skips the copy, which matters in a loop inside a function with many locals.

def scaled(values, factor):
    results = []
    for value in values:
        results.append(eval("value * factor"))  # copies the locals, then O(n)
    return results

assert scaled([1, 2, 3], 10) == [10, 20, 30]

def scaled_with_namespace(values, factor):
    code = compile("value * factor", "<expr>", "eval")  # O(n), once
    namespace = {"factor": factor}
    results = []
    for value in values:
        namespace["value"] = value  # O(1)
        results.append(eval(code, namespace))  # no copy, no compilation
    return results

assert scaled_with_namespace([1, 2, 3], 10) == [10, 20, 30]

Expressions Only

eval() takes one expression. A statement, or an empty string, is a SyntaxError; use exec() for statements. A code object compiled in 'exec' mode is the exception: it runs, and eval() returns None.

try:
    eval("x = 5")
except SyntaxError:
    pass
else:
    raise AssertionError("eval() ran an assignment")

try:
    eval("")
except SyntaxError:
    pass
else:
    raise AssertionError("eval() accepted an empty string")

namespace = {}
assert eval(compile("x = 5", "<string>", "exec"), namespace) is None
assert namespace["x"] == 5

assert eval("  1 + 1") == 2  # leading spaces and tabs are skipped

Safer Alternatives

eval() runs whatever the expression does, and an empty or restricted __builtins__ does not make it safe. For untrusted text that should hold a value, ast.literal_eval() parses it in O(n) and builds only literal values; an expression such as __import__('os') raises ValueError.

import ast

assert ast.literal_eval("[1, 2, 3]") == [1, 2, 3]  # O(n)
assert ast.literal_eval("{'a': 1, 'b': 2}") == {"a": 1, "b": 2}

try:
    ast.literal_eval("__import__('os')")
except ValueError as error:
    assert "malformed" in str(error)
else:
    raise AssertionError("literal_eval() made a call")

Common Patterns

Evaluating a Formula per Record

formula = compile("price * quantity * (1 - discount)", "<formula>", "eval")  # O(n), once

orders = [
    {"price": 10.0, "quantity": 3, "discount": 0.0},
    {"price": 4.0, "quantity": 5, "discount": 0.5},
]
totals = [eval(formula, {"__builtins__": {}}, order) for order in orders]  # no compilation
assert totals == [30.0, 10.0]

Performance Best Practices

✅ Do:

• Compile an expression once with compile() and pass the code object when it is evaluated repeatedly
• Pass a namespace dict when calling eval() in a loop inside a function, so the locals are not copied on every call
• Use ast.literal_eval() for text that should only hold a value

❌ Avoid:

• Calling eval() on a string inside a loop - it compiles the string every time
• Calling eval() on untrusted input, even with restricted globals
• Building code as strings for eval() where a function, a lambda or a dict lookup would do

Version Notes

• Python 3.13+: globals and locals can be passed as keyword arguments
• Python 3.13+: Inside a function without namespaces, copying the locals costs O(v²) per call; it is O(v) on 3.11 and 3.12
• All Python 3: eval() runs arbitrary code; never pass it untrusted input

Related Functions

• exec() - Execute Python statements
• compile() - Compile code objects
• ast.literal_eval() - Safe literal evaluation