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The word 'efficiently' here means up to polynomial-time reductions . This thesis was originally called Computational Complexity-Theoretic Church–Turing Thesis by Ethan Bernstein and Umesh Vazirani (1997). The Complexity-Theoretic Church–Turing Thesis, then, posits that all 'reasonable' models of computation yield the same class of problems that can be computed in polynomial time. Assuming the conjecture that probabilistic polynomial time ( BPP ) equals deterministic polynomial time ( P ), the word 'probabilistic' is optional in the Complexity-Theoretic Church–Turing Thesis. A similar thesis, called the Invariance Thesis , was introduced by Cees F. Slot and Peter van Emde Boas. It states: "Reasonable" machines can simulate each other within a polynomially bounded overhead in time and a constant-factor overhead in space .  The thesis originally appeared in a paper at STOC '84, which was the first paper to show that polynomial-time overhead and constant-space overhead could be simultaneously achieved for a simulation of a Random Access Machine on a Turing machine. 
If I went to a doctor and said “Tell me how to diagnose a patient,” or I went to a judge and said “Tell me how to interpret the law,” or I went to an artist and said “Tell me how to be creative,” do you think they would be able give me a few sentences that completely answer my question and prepare me for professional work as a doctor, judge, or artist? If they had spent years as students learning their subject matter, and additional years teaching or writing a textbook on their specialty, they might be very good in their professions but I’d bet they’d all find it tough to answer such a question in any meaningful way.