We consider the rate sum of a symmetric Gaussian interference channel in standard format, given by $Y_1=X_1+aX_2+Z_1$ and $Y_2=aX_1+X_2+Z_2$, with $X_1$ and $X_2$ constrained to average power $P$, and $Z_1$ and $Z_2$ distributed as $N(0,1)$. We provide a complete taxonomy of potentially optimal Gaussian signaling strategies in the entire weak and moderate interference parameter space, delimited by $00$. The strategies seem to lead to the Han and Kobayashi achievable region for the rate sum. We find that the parameter space comprises eight (potentially) optimal transmission regions formed by four pure mode strategies and four transitional strategies. We characterize the boundaries of these pure mode regions and the associated transitional regions.