This species and variety is similar to the common weed,
Common Purslane (Portulaca oleracea) , but it has wider leaves, and the stems grow straight up instead of trailing on the ground.
The wider leaves should make it more vigorous, because wider leaves mean more photosynthesis, but the larger leaves seem to be enjoyed by the leaf-mining caterpillars of the purslane sawfly (Schizocerella pilicornis). I squish the caterpillars whenever I see them inside the leaves, eating the insides, but the plants are still losing large portions of their leaves.