Potential bug

[RuneBlaze]

Take the following tree:

(((((25,2),(3,40)),(((((33,30),((22,34),((((14,39),14),(39,39)),(14,14)))),(((38,43),39),((((((((7,28),9),32),(37,(18,29))),(41,4)),(1,20)),(45,8)),(((((7,28),29),29),((28,7),18)),(37,9))))),(((((48,43),(21,((((9,37),41),4),((1,((21,32),(20,(45,8)))),(28,(29,(18,7))))))),6),27),((42,(16,(24,13))),(((47,5),44),(35,((15,46),(11,26))))))),(((17,(((19,19),19),10)),(23,31)),(36,(((12,36),(36,6)),12))))),(((((((3,40),((42,42),16)),(24,13)),(40,((24,13),(16,(40,3))))),38),((((48,43),43),48),(((5,((44,33),35)),47),(((((4,((37,(1,(8,45))),1)),(9,18)),41),((29,(28,7)),(((9,37),(21,20)),(32,1)))),((((25,31),(22,34)),42),(36,6)))))),((((48,43),((14,39),27)),(10,(((17,(2,19)),23),(((15,46),((11,15),30)),(((33,(35,47)),44),26))))),(6,12)))),(((92,((((((90,93),(70,((54,98),(87,56)))),((54,(70,98)),(((56,54),((93,87),(70,98))),90))),90),(93,((70,98),(98,70)))),((55,(55,55)),((((81,77),(62,(99,83))),94),(56,87))))),(((((((97,(86,58)),80),72),64),(69,((89,50),(95,(74,71))))),(73,52)),((((60,67),(96,63)),(((91,78),(79,49)),((59,(61,66)),(76,57)))),(100,(85,75))))),((((77,((81,((83,(62,99)),99)),62)),((((68,((65,100),75)),(82,85)),((((65,(100,65)),53),100),(51,(84,88)))),((92,(92,92)),(((((82,85),75),(((51,(68,100)),(88,84)),(65,53))),94),((55,77),(92,((81,99),(83,62)))))))),((55,((87,70),((((90,(70,87)),(93,54)),(56,98)),((90,(93,(54,56))),98)))),(((94,94),(94,94)),(83,55)))),(((82,((88,84),51)),(68,(65,53))),((((81,77),55),(55,(62,(99,83)))),((((99,62),(68,(((84,88),(65,100)),94))),(((65,100),(((51,(82,85)),75),(53,(100,65)))),(92,83))),((90,93),(((54,56),70),(98,87)))))))));

The current version produces the following output:

((3,40),25,2);
((45,8),(((((7,28),9),32),(37,(18,29))),(41,4)),(1,20));
((((47,5),44),(35,((15,46),(11,26)))),42,(16,(24,13)));
(47,5,((44,33),35));
((((9,37),(21,20)),(32,1)),29,(28,7));
((36,6),((25,31),(22,34)),42);
(((14,39),27),48,43);
(23,17,(2,19));
(26,(33,(35,47)),44);
((70,((54,98),(87,56))),90,93);
((56,87),((81,77),(62,(99,83))),94);
(((((60,67),(96,63)),(((91,78),(79,49)),((59,(61,66)),(76,57)))),(100,(85,75))),(((((97,(86,58)),80),72),64),(69,((89,50),(95,(74,71))))),(73,52));
((82,85),68,((65,100),75));
(((55,77),(92,((81,99),(83,62)))),(((82,85),75),(((51,(68,100)),(88,84)),(65,53))),94);
((68,(65,53)),82,((88,84),51));
((68,(((84,88),(65,100)),94)),99,62);
((((54,56),70),(98,87)),90,93);

I think that there are trees that have clades that are not maximal (they are subsets of some other clade of one of the output trees)

((82, 85), 68, ((65, 100), 75)) has a clade that is smaller than (((55, 77), (92, ((81, 99), (83, 62)))), (((82, 85), 75), (((51, (68, 100)), (88, 84)), (65, 53))), 94)!
  by {65,68,75,82,85,100} being smaller than {51,53,55,62,65,68,75,77,81,82,83,84,85,88,92,94,99,100}
((68, (65, 53)), 82, ((88, 84), 51)) has a clade that is smaller than (((55, 77), (92, ((81, 99), (83, 62)))), (((82, 85), 75), (((51, (68, 100)), (88, 84)), (65, 53))), 94)!
  by {51,53,65,68,82,84,88} being smaller than {51,53,55,62,65,68,75,77,81,82,83,84,85,88,92,94,99,100}
((68, (((84, 88), (65, 100)), 94)), 99, 62) has a clade that is smaller than (((55, 77), (92, ((81, 99), (83, 62)))), (((82, 85), 75), (((51, (68, 100)), (88, 84)), (65, 53))), 94)!
  by {62,65,68,84,88,94,99,100} being smaller than {51,53,55,62,65,68,75,77,81,82,83,84,85,88,92,94,99,100}

As reference, here is my program's output (but I have not thoroughly debugged mine yet, just in case it is useful)

((25,2),(3,40));
((17,(2,19)),23);
((48,43),((14,39),27));
((5,((44,33),35)),47);
(((33,(35,47)),44),26);
((24,13),(16,(40,3)));
((90,93),(70,((54,98),(87,56))));
(((56,54),((93,87),(70,98))),90);
(((90,(70,87)),(93,54)),(56,98));
((((25,31),(22,34)),42),(36,6));
((90,93),(((54,56),70),(98,87)));
((((81,77),(62,(99,83))),94),(56,87));
((42,(16,(24,13))),(((47,5),44),(35,((15,46),(11,26)))));
((((9,37),41),4),((1,((21,32),(20,(45,8)))),(28,(29,(18,7)))));
(((((82,85),75),(((51,(68,100)),(88,84)),(65,53))),94),((55,77),(92,((81,99),(83,62)))));
(((((((97,(86,58)),80),72),64),(69,((89,50),(95,(74,71))))),(73,52)),((((60,67),(96,63)),(((91,78),(79,49)),((59,(61,66)),(76,57)))),(100,(85,75))));

[JSdoubleL]

I believe this works as intended given the definition of maximal clade we are using. Thanks for taking a look at this!