curious ill conditioned numerical problem

Posted by aaa on Stack Overflow See other posts from Stack Overflow or by aaa
Published on 2010-05-07T02:20:59Z Indexed on 2010/05/07 2:28 UTC
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hello.

somebody today showed me this curious ill conditioned problem (apparently pretty famous), which looks relatively simple

ƒ = (333.75 - a^2)b^6 + a^2 (11a^2 b^2 - 121b^4 - 2) + 5.5b^8  + a/(2^b)
where a = 77617 and b = 33096

can you determine correct answer?

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