MySQL: sum time ranges exluding overlapping ones

I need to sum up the time which results from multiple time ranges. For example - we have enter / exit ranges of some office:

Query has to:

• Exclude overlapping ranges (8:00 - 10:00)

• Exclude "missing" part (12:00 - 14:00)

Expected result in this case is 8:00 (8:00 to 12:00 + 14:00 to 18:00)

Example table structure:

DAY        | TIME_ENTER | TIME_EXIT
2016-01-01 | 08:00      | 10:00
2016-01-01 | 08:00      | 12:00
2016-01-01 | 14:00      | 18:00

Expected result:

DAY        | TOTAL
2016-01-01 | 08:00

Table structure:

CREATE TABLE Registry
 (`Date` DATE,
  `Enter` TIME,
  `Exit` TIME);

Example inserts

INSERT INTO Registry
VALUES
 ('2016-01-01', '08:00', '09:00'),
 ('2016-01-01', '08:00', '12:00'),
 ('2016-01-01', '14:00', '18:00')

Original

You want to sum up all time ranges, except those that fit inside other time ranges on the same day:

SELECT DATE_FORMAT(DAY, '%Y-%m-%d')
        ,TIME_FORMAT(SEC_TO_TIME(TIME_TO_SEC(
            SUM(TIMEDIFF(TIME_EXIT,TIME_ENTER))
          )), '%H:%i') AS Total
FROM Table1 AS t
WHERE NOT EXISTS (
  SELECT *
  FROM Table1
  WHERE DAY = t.DAY
  AND TIME_ENTER = t.TIME_EXIT
  # not the same row; if you have an ID column, use it instead
  # eg AND NOT ID = t.ID
  AND NOT (TIME_ENTER = t.TIME_ENTER AND TIME_EXIT = t.TIME_EXIT)
)
GROUP BY DAY;

SqlFiddle

Edit: the above solution won't always work, as pointed out by ypercube. The following solution should cover all scenarios.

Revised solution

SELECT DATE_FORMAT(DAY, '%Y-%m-%d')
        ,TIME_FORMAT(SEC_TO_TIME(TIME_TO_SEC(
            SUM(TIMEDIFF(TIME_EXIT,TIME_ENTER))
          )), '%H:%i') AS Total
FROM (
  SELECT   DISTINCT t.DAY
        ,(SELECT MIN(TIME_ENTER) FROM Table1
          WHERE TIME_EXIT BETWEEN t.TIME_ENTER AND t.TIME_EXIT) AS TIME_ENTER
        ,(SELECT MAX(TIME_EXIT) FROM Table1
          WHERE TIME_ENTER BETWEEN t.TIME_ENTER AND t.TIME_EXIT) AS TIME_EXIT
  FROM Table1 t
  ) AS o
GROUP BY DAY;

SqlFiddle

StackExchange Database Administrators Q#127092, answer score: 3