Calculating the rating for clans!

Still, a single linear result doesn't say anything. The fact that one player completed a map in 10 days, and another in 12, doesn't reflect the real ratio of their strength. It's one thing if these are the first and second results. It's another if they are the fifth and sixth, and a third if they are the second and fourth, and so on. Indeed, a non-linear system is simple. But it's the kind of simplicity that is worse than theft, IMHO. That's why suggestions are made to introduce additional parameters: the player's place, the number of players in the tournament, the player's rating in similar tournaments, the average rating of the tournament, etc. This is not a complication of the formula, but its addition and development.
But the non-linear part itself is certainly key, but not the only determining factor.

I absolutely disagree. Especially with the examples given. I'll repeat my example: when the first place is completed in 1 day, and the second in 1000. Which one better shows the strength? The non-linear part, DEFINITELY. And when using the linear part and bonuses, the result obtained by the non-linear part will be distorted beyond recognition :) And you've somehow twisted your example :D You're starting to compare results between 5th and 6th, between 7th and 8th place :) You're not mentioning that ALL results are compared in relation to the leader's result. Therefore, the place is absolutely irrelevant and unnecessary. The number of people is even more so. It's like with the question about the Clan: they explain very well that the number is not needed there :) But is it needed in a speed tournament? Does it matter how many people are playing in the tournament. How does it complicate the game for you?