This is very common that pianists practice mechanically or just try to fulfill all the marks that are written into the note sheet. This approach is not very much about music. Before practicing the piece try to visualize the music in your head and bind all the notation marks into your vision. When you have a beautiful conception ready in your head it will show you the way to practice efficiently.
Most students I have, in the beginning rush while playing the piano. Even every note is rushed. If you listen to the sound of every note that comes after hitting the key you will give much color and space to the music. Music is between hitting keys not about hitting keys. Lengthen every note until it reaches its natural and real musical value and starts to speak. Then the music will start to live.
Talented people often perform under their abilities and this creates stress. Learn how to change your performance anxiety and stage fright to inspiration and creative power.
You can only think one thought at the same time. It means that you have to link and synchronize your hands into one movement and one thought.
In this video I am speaking about Ivo Pogorelich (born October 20 1958), who is a Croatian pianist.
Chopin Scherzo No. 3, Op. 39 played by Ivo Pogorelich at the 1980 Chopin competition in Warsaw (the competition that made him famous):
On of his later so called crazy performances, he plays Liszt Mephisto Waltz No. 1 (Part 1):
Let the musical values guide you instead of trying to be a perfect accomplisher.
The performance I mentioned in the video is here: