Embodiments of the present disclosure demonstrate a lapping carrier system for a bar to be lapped. The lapping carrier system may be configured with a single piece insert whose bridge is separated from a plurality of joints of the carrier insert by a varying distance. The varying distance can be greater at a medial portion of the bridge than at an end portion of the bridge to collectively form a parabolic shape. In some embodiments, a lapping insert can include a bridge with its length longer than the bar. In some embodiments in a lapping insert, the centerline between the end joint edge and the end finger edge extends beyond the edge of bar.