We regard f(T) theory as an efficient tool to explain the current cosmic acceleration and associate its evolution with the known dark energy models. The numerical scheme is applied to reconstruct f(T) theory from dark energy model with constant equation of state parameter and holographic dark energy model. We set the model parameters omega(theta) and c as describing the different evolution eras and show the distinctive behavior of each case realized in f(T) theory. We also present the future evolution of reconstructed f(T) and find that it is consistent with the recent observations.
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