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* scanning the compiler trace for the eligible column * committing to the eligible columns * replacing the eligible subcolumns with their stitching * local opening constraints * eligible expression for the compilation * ignoring the queries over the eligible columns * local constraints *global constraints * supporting the verifier col in the expression * expanding the verifier columns per expression * adding the verifier's checks for the very small columns --------- Signed-off-by: Leo Jeong <dreamerty@postech.ac.kr> Co-authored-by: Leo Jeong <dreamerty@postech.ac.kr>