There is no minimum amount below which it is not considered "going to the bathroom" for the sake of making a blessing. The Shulchan Arukh addresses this question explicitly:
אֵין שִׁעוּר לְהַשְׁתִּין מַיִם כִּי אֲפִלּוּ לְטִפָּה אַחַת חַיָּב לְבָרֵךְ, שֶׁאִם יִסָתֵם הַנֶּקֶב מִלְּהוֹצִיא הַטִּפָּה הַהִיא הָיָה קָשֶׁה לוֹ וְחַיָּב לְהוֹדוֹת:
There is no specific amount of urinating required, because even if one urinates a single drop one must bless ["who created man/Asher Yatzar"], because one's opening may have been blocked from urinating that drop and so it may have been difficult for him, and so he is required to give thanks.
SA - OC 7:4
So if even a drop of urine is released, you should make the asher yatzar blessing.