§5.7 of the authors’ online textbook. Its difference-based error estimation is distinguished from a universal accuracy guarantee; no online-edition date is inferred.
Cited passages: §5.7.1, equation 5.7.4: a difference-based error estimate; §5.7.2: interval bisection; Example 5.7.2 and concluding discussion: requested accuracy is not guaranteed.

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  1. Fundamentals of Numerical Computation by Tobin A. Driscoll and others
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