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In total, evaluation using the Knuth–Eve algorithm for a polynomial of degree <math>n</math> requires <math>n</math> additions and <math>\lfloor n/2 \rfloor + 2</math> multiplications, assuming <math>t</math> is chosen optimally.<ref name="eve1964"/>
No algorithm to evaluate a given polynomial of degree <math>n</math> can use fewer than <math>n</math> additions or fewer than <math>\lceil n/2 \rceil</math> multiplications during evaluation. This result assumes only addition and multiplication are allowed during both preprocessing and evaluation.<ref name="erickson2003"/>{{Better source needed|date=July 2025}}
The Knuth–Eve algorithm is not [[Condition number|well-conditioned]].<ref name="mesztenyi1967"/>
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