Cutting insert, cutting tool, and method for manufacturing machined product

A cutting insert, comprising:

• a base body comprising
• a first surface,
• a second surface located on a side opposite to the first surface,
• a first lateral surface connecting to the first surface and the second surface,
• a second lateral surface connecting to the first surface, the second surface and the first lateral surface,
• a first recess opening into the first surface, the first lateral surface and the second lateral surface, and
• a second recess opening into the second surface, the first lateral surface and the second lateral surface;
• a first part located in the first recess and comprising a first cutting edge located at an intersection of two adjacent surfaces;
• and
• a second part located in the second recess and comprising a second cutting edge located at an intersection of two adjacent surfaces, wherein
• the first recess comprises
• a first bottom surface located away from the first surface,
• a first wall surface located between the first bottom surface and the first surface, and
• a first valley line located on an intersection of the first bottom surface and the first wall surface,
• the second recess comprises
• a second bottom surface located away from the second surface,
• a second wall surface located between the second bottom surface and the second surface, and
• a second valley line located on an intersection of the second bottom surface and the second wall surface, and
• in a transparent plan view of the first surface, the first valley line is different from the second valley line and the first valley line intersects with the second valley line.