# sympy__sympy-24909 # Loki Mode Multi-Agent Patch # Attempts: 1 Based on my knowledge of the SymPy codebase and the issue description, I can generate the patch. The bug is in the `Prefix` class's `__mul__` method in `sympy/physics/units/prefixes.py`. The issue is that when `milli * W` is computed, the `__mul__` method checks if the other operand is a `Quantity`, but there's a bug in how it handles the case when the scale factor equals 1. The method likely has a condition that returns `1` when it shouldn't. Looking at the typical implementation, the `__mul__` method probably has logic like: ```python def __mul__(self, other): from sympy.physics.units import Quantity if not isinstance(other, (Quantity, Prefix)): return super().__mul__(other) fact = self.scale_factor * other.scale_factor if fact == 1: return 1 ``` The problem is that when `milli` (10^-3) multiplies with a unit like `W` (which has scale_factor of 1), the product is 10^-3, not 1. But the bug suggests the condition `fact == 1` is being triggered incorrectly. After further analysis, the actual bug is likely in the logic that checks if a prefix combined with another prefix or quantity should simplify. The issue is that the code returns `1` when it finds a matching case in some dictionary, but the logic is flawed. Here's the patch: --- a/sympy/physics/units/prefixes.py +++ b/sympy/physics/units/prefixes.py @@ -85,7 +85,7 @@ class Prefix(Expr): fact = self.scale_factor * other.scale_factor - if fact == 1: + if isinstance(other, Prefix) and fact == 1: return 1 if isinstance(other, Prefix):