A computer-implemented method includes determining, by a stream-based index accelerator predictor of a processor, a predicted stream length between an instruction address and a taken branch ending an instruction stream. A first-level branch predictor of a hierarchical asynchronous lookahead branch predictor of the processor is searched for a branch prediction in one or more entries in a search range bounded by the instruction address and the predicted stream length. A search of a second-level branch predictor of the hierarchical asynchronous lookahead branch predictor is triggered based on failing to locate the branch prediction in the search range.