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As a valuable feature of my software product, I want to say that results are
calculated on-the-fly, meaning the user does not have to wait and receive
results by email: results are displayed after two seconds.

Should I say オンザフライ as advised by my friend [alc](http://eow.alc.co.jp/On-the-
fly)?

The context would be something like "オンザフライ結果表示" in a bullet list
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word-choice translation
Computer calculation: is there a better word than "オンザフライ" to say "on-the-fly"?
Doubt there is anything better than katakana for the exact term "on the fly",
but if you mean to say "real-time"/"immediate", perhaps 即時に【そくじに】 would do?
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2011-06-17T08:17:29.110
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If you want to state that the calculations are done as needed in response to
demand, [随時](http://eow.alc.co.jp/%E9%9A%8F%E6%99%82/UTF-8/) (ずいじ) would be a
possible option. (随時更新される結果表示, maybe?) The ALC page I linked gives "running",
"continuous", "as-needed", and similar terms as candidate translations for 随時.
But if the quickness of your calculations is the main focus, I think Dave's 即時
would be better.
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2011-06-17T14:57:33.487
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You could say

  * **その場で** 結果を表示

For example, an article introducing Google's Instant Previews was titled
"[Google、検索結果をその場でプレビューできる「Instant
Previews」発表](http://www.itmedia.co.jp/news/articles/1011/10/news024.html)".

I think this is the most natural way to put it. The downside is you lose the
conciseness coming from the use of all-kanji/katakana compound nouns.
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