( ( ( ( They ( can ( reproduce ( ( asexually or ) sexually ) ) ) ) and ) ( ( during ( asexual reproduction ) ) ( ( the cell ) ( ( divides ( as ( a ( new bud ) ) ) ) ( to ( produce ( a ( new ( yeast cell ) ) ) ) ) ) ) ) ) . )
(ROOT (S (S (NP (PRP They)) (VP (MD can) (VP (VB reproduce) (ADVP (ADVP (RB asexually)) (CC or) (ADVP (RB sexually)))))) (CC and) (S (PP (IN during) (NP (JJ asexual) (NN reproduction))) (NP (DT the) (NN cell)) (VP (VBZ divides) (PP (IN as) (NP (DT a) (JJ new) (NN bud))) (S (VP (TO to) (VP (VB produce) (NP (DT a) (JJ new) (NN yeast) (NN cell))))))) (. .)))
They  can reproduce asexually or sexually and during asexual reproduction the  cell divides as a new bud to produce a new yeast cell.
(ROOT (S (NP (NNP Trees)) (VP (VBP send) (PRT (RP out)) (NP (NP (JJ rootlike) (NNS extensions)) (SBAR (WHNP (WDT that)) (S (VP (VBP produce) (SBAR (S (NP (JJ new) (NNS stems)) (VP (VBZ is) (NP (NP (DT an) (NN example)) (PP (IN of) (NP (JJ asexual) (NN reproduction)))))))))))) (. .)))
Trees send out rootlike extensions that produce new stems is an example of asexual reproduction.