Diario de sarah_oberlin

Two species of Mazus (Mazaceae) are naturalized in North America, Mazus pumilus and Mazus miquelii.
Per http://floranorthamerica.org/Mazus, Mazus sp. in USA may be corolla purplish to violet and white or white with throats usually spotted yellow,
Per Michiganflora.net, [Mazus miquelii] has abundant, very slender stolons, and roots freely at the nodes. A white form is also commonly cultivated and may escape.
Per James S. Pringle "The Identification, Nomenclature, and Naturalized Distribution of Mazus miquelii (Mazaceae) in North America," Castanea 83(2), 216-223, (30 August 2018). https://doi.org/10.2179/17-154

1.Annuals, without stolons; stems generally sparsely to conspicuously puberulent at least proximally with acute, non-glandular hairs to ca. 0.5 mm long, these gradually but sometimes not completely replaced distally by minute, rounded, glandular papillae; larger leaves usually with midveins (abaxially) and petiole-like bases usually – puberulent; inflorescence a raceme or few-branched panicle of (1–)3–15(–25) flowers; calyx (in
flower) 4–6 mm long, lobed 0.5–0.6 3 its length, glabrous or abaxially puberulent along the primary veins;
corolla 7–10 mm long; lower lip of corolla abruptly (nearly 908) becoming wider than the tube where the upper and lower lips diverge; lobes (terminal teeth) of upper lip of corolla 0.6–1 mm long . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . .. . . . . . Mazus pumilus

1.Perennials, with leafy stolons rooting at the nodes; stems without acute, non-glandular hairs, distally withminute glandular papillae to ca. 0.05 mm long; leaves glabrous; inflorescence a raceme of 1–5(–8) flowers; calyx (in flower) 4–8 mm long, lobed 0.45–0.65 3 its length, glabrous except for minute glands;
corolla 13–26 mm long; lower lip of corolla gradually widening (ca. 458) distal to the divergence of the lips; lobes of upper lip of corolla 1.5–4 mm long . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Mazus miquelii

Mazaceae on down in US: https://www.inaturalist.org/observations/identify?place_id=1&taxon_id=571193&per_page=100