If the number of candidates for each pixel grows too large (as is common in algorithms such as Knoll and Yliluoma) then sorting the candidate list for every pixel can have a significant impact on performance. A solution is to instead sort the palette in advance and keep a separate tally of weights for every palette colour. The weights can then be accumulated by iterating linearly through the tally of sorted colours.
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Initially I aimed to test with at least 10 formulas for each model for SAT/UNSAT, but it turned out to be more expensive than I expected, so I tested ~5 formulas for each case/model. First, I used the openrouter API to automate the process, but I experienced response stops in the middle due to long reasoning process, so I reverted to using the chat interface (I don't if this was a problem from the model provider or if it's an openrouter issue). For this reason I don't have standard outputs for each testing, but I linked to the output for each case I mentioned in results.