substituting expressions for numbers
Say you have some formula in the form of an expression:
sage: x,y,a,b = var("x y a b") sage: f = 10*x+2*y sage: type(f) <type 'sage.symbolic.expression.Expression'>
Now I want to replace the 10 by the variable a. What's the easiest way to do this? It's the opposite of the typical substitution, so the functions I'd usually throw at it all fail.
So far I can only up with (1) string techniques, which are bugs waiting to happen, or (2) walking the entire expression tree and constructing a new expression from each operator/operand triplet.