Sorenson-Dice tends to return relatively low percentages even for small differences, especially for short words. We need to "lower the bar" to get any results at all. Different variations of the algorithm do or don't regularize case. This one does, though it doesn't much matter for the tested words.
Using unixdict.txt from www.puzzlers.org
sub sorenson ($phrase, %hash) {
my $match = bigram $phrase;
%hash.race.map: { [(2 * ($match ∩ .value) / ($match + .value)).round(.001), .key] }
}
sub bigram (\these) { Bag.new( flat these.fc.words.map: { .comb.rotor(2 => -1)».join } ) }
# Load the dictionary
my %hash = './unixdict.txt'.IO.slurp.words.race.map: { $_ => .&bigram };
# Testing
for <complition inconsqual Sørenson> -> $w {
say "\n$w:";
.say for sorenson($w, %hash).grep(*.[0] >= .55).sort({-.[0],~.[1]}).head(10);
}