In this model system, the initial sampling shows positive skewness, indicating that the particle should move to the right to reach the other basin. To implement this, a harmonic wall is applied, shifted by an ϵ to the right of the mean µ of the distribution sampled in the previous step, and sampling resumes. The new potential, which combines the physical double-well potential and the restraining bias, makes the particle sampling a new landscape and search iteratively for the next metastable state direction based on the skewness of the updated distribution. The lower panel of Figure shows the evolution of the local equilibrium distribution after applying the restraining biases at each successive iteration. In this simple case, the skew remains positive and, therefore, the direction along which the bias must be applied is always positive along x. In this way, through successive iterations of sample-and-search, the system gradually exits the left basin and reaches the right one, completing the exploration process.