RosettaCodeData/Task/Evolutionary-algorithm/Mathematica/evolutionary-algorithm.math

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target = "METHINKS IT IS LIKE A WEASEL";
alphabet = CharacterRange["A", "Z"]~Join~{" "};
fitness = HammingDistance[target, #] &;
Mutate[parent_String, rate_: 0.01, fertility_Integer: 25] := Module[
{offspring, kidfits, gen = 0, alphabet = CharacterRange["A", "Z"]~Join~{" "}},
offspring = ConstantArray[Characters[parent], fertility];
Table[
If[RandomReal[] <= rate, offspring[[j, k]] = RandomChoice[alphabet]],
{j, fertility}, {k, StringLength@parent}
];
offspring = StringJoin[#] & /@ offspring;
kidfits = fitness[#] & /@ Flatten[{offspring, parent}];
Return[offspring[[First@Ordering[kidfits]]]];
];
mutationRate = 0.02;
parent = StringJoin[ alphabet[[RandomInteger[{1, Length@alphabet}, StringLength@target]]] ];
results = NestWhileList[Mutate[#, mutationRate, 100] &, parent, fitness[#] > 0 &];
fits = fitness[#] & /@ results;
results = Transpose[{results, fits}];
TableForm[results[[;; ;; 2]], TableHeadings->{Range[1, Length@results, 2],{"String","Fitness"}}, TableSpacing -> {1, 2}]