abstract: We explain Ecalle's "arborescent mould formalism'' in its simplest instance, showing how it allows one to give explicit formulas for various operators naturally attached to a germ of holomorphic map in 1 dimension. When applied to the classical linearization problem of non-resonant germs, this elegant and concise tree formalism yields an compact formula, from which one easily recovers the classical analytical result of convergence of the solution under a suitable arithmetical condition on the multiplier