A drip emitter formed from an elastomer component and a rigid polymer component for welding to the inner surface of an irrigation hose. The drip emitter has a fluid flow pathway including a flow restriction, typically in the form of a labyrinth, formed at least partially within the elastomer to provide a variable geometry flow restriction. The flow restriction may include under- tooth bypass spaces located between the base and the sequence of baffles, over- tooth bypass clearances or may employ baffles with a thickened root portion which forms a sloped transition region between an upright upper wall portion and the base. In each case, flow through the drip emitter when deployed is regulated by pressure-responsive deformation of the elastomer component. Some implementations employ a thermoset elastomer component such as silicone with mechanical interlocking between the components.