Is it fine to use the following sentence:

We propose an algorithm that has a reduced complexity but achieves only a fraction of the...

More specifically, do I need to add something (for instance: "that" or "which") after "but"?

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    Yes, no. And welcome! – Stephie Oct 27 '15 at 13:17
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    Usually advised in personal business communication, so take it with a grain of salt: try replacing "but" with "and", it might sound better. – Victor Bazarov Oct 27 '15 at 13:28
  • @VictorBazarov But "but" here is used to express the fact that "has a reduced complexity" is a positive aspect whereas "achieves only a fraction of the.." is a negative one. So you still think that "and" could replace "but" ? – tam Oct 27 '15 at 13:59
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    @mat, it was unclear from your question what is positive, what's negative. Try using "yet" instead, or put the negative first so you end on a positive statement. – Victor Bazarov Oct 27 '15 at 14:00
  • @VictorBazarov you mean: "We propose an algorithm that achieves only a fraction of the region yet has a reduced complexity". Thank you! – tam Oct 27 '15 at 15:04

Your sentence is correct as is.

It would be incorrect to add "that" or "which" after "but."

Source: Native speaker

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