וַיֹּ֤אמֶר לוֹ֙ יוֹסֵ֔ף זֶ֖ה פִּתְרֹנ֑וֹ שְׁלֹ֙שֶׁת֙ הַשָּׂ֣רִגִ֔ים שְׁלֹ֥שֶׁת יָמִ֖ים הֵֽם׃
And Joseph said unto him: ‘This is the interpretation of it: the three branches are three days;
Read kabbalistic (mystical) interpretation of Genesis 40:12: and classical mystical sources.