योगवासिष्ठः yogavāsiṣṭhaḥ - book-4, chapter-21, verse-31

निर्निमित्तोत्थसौम्याम्बुबुद्बुदौघैरिवोत्थितैः ।
स्वनिश्चितैरिति प्रौढा नानाकारा हि रीतयः ॥ ३१ ॥

nirnimittotthasaumyāmbubudbudaughairivotthitaiḥ ,
svaniścitairiti prauḍhā nānākārā hi rītayaḥ 31

31. nirnimitta-uttha-saumyā-ambu-budbuda-oghaiḥ iva
utthitaiḥ svaniścitaiḥ iti prauḍhāḥ nānākārāḥ hi rītayaḥ

31. nirnimittotthasaumyāmbubudbudaughaiḥ iva utthitaiḥ
svaniścitaiḥ iti nānākārāḥ prauḍhāḥ rītayaḥ hi

31. Indeed, these diverse and fully developed doctrines are like masses of gentle water bubbles that have arisen without any apparent cause, produced solely by their own firm convictions.

Words meanings summery:

• निर्निमित्तोत्थसौम्याम्बुबुद्बुदौघैः (nirnimittotthasaumyāmbubudbudaughaiḥ) - describing the doctrines as illusory and self-generated (by masses of gentle water bubbles arisen without cause)

• इव (iva) - like, as, as if

• उत्थितैः (utthitaiḥ) - which are arisen (referring to the bubble-masses) (by those arisen, by those produced)

• स्वनिश्चितैः (svaniścitaiḥ) - by their own determinations, by their own firm convictions

• इति (iti) - thus, in this manner

• प्रौढाः (prauḍhāḥ) - well-established, fully conceptualized (mature, fully developed, strong, bold)

• नानाकाराः (nānākārāḥ) - of various forms, diverse in nature

• हि (hi) - emphasizes the statement (indeed, surely, for)

• रीतयः (rītayaḥ) - philosophical systems or tenets (doctrines, methods, ways, systems)

Words meanings and morphology

निर्निमित्तोत्थसौम्याम्बुबुद्बुदौघैः (nirnimittotthasaumyāmbubudbudaughaiḥ) - describing the doctrines as illusory and self-generated (by masses of gentle water bubbles arisen without cause)

(noun)

Instrumental, masculine, plural of nirnimittotthasaumyāmbubudbudogha

nirnimittotthasaumyāmbubudbudogha - masses of gentle water bubbles arisen without cause

Compound type : tatpurusha (nirnimitta+uttha+saumya+ambu+budbuda+ogha)

• nirnimitta – without cause, uncaused
  adjective (neuter)
  nis (without) + nimitta (cause)
  Prefix: nis
• uttha – arisen, produced from
  adjective (masculine)
  from ut + √sthā (to stand)
  Prefix: ud
  Root: sthā (class 1)
• saumya – gentle, mild, pleasant, lunar
  adjective (masculine)
  from soma (moon, a deity)
• ambu – water
  noun (neuter)
• budbuda – bubble
  noun (masculine)
  onomatopoeic or derived from √budh (to awaken, bubble up)
• ogha – flood, mass, heap, multitude
  noun (masculine)
  from √vah (to carry)
  Root: vah (class 1)

Note: Acts as the standard of comparison (upamāna) in a simile.

इव (iva) - like, as, as if

(indeclinable)

particle

उत्थितैः (utthitaiḥ) - which are arisen (referring to the bubble-masses) (by those arisen, by those produced)

(participle)

Instrumental, masculine, plural of utthita

utthita - arisen, produced, standing up

past passive participle

from ut + √sthā (to stand) + ta suffix

Prefix: ud

Root: sthā (class 1)

Note: Agrees with nirnimittotthasaumyāmbubudbudoghaiḥ.

स्वनिश्चितैः (svaniścitaiḥ) - by their own determinations, by their own firm convictions

(adjective)

Instrumental, masculine, plural of svaniścita

svaniścita - self-determined, firmly concluded, firmly convinced by oneself

Compound type : tatpurusha (sva+niścita)

• sva – own, one's own, self
  pronoun
• niścita – determined, concluded, ascertained, firm
  adjective (masculine)
  past passive participle
  from nis + √ci (to gather, perceive)
  Prefix: nis
  Root: ci (class 5)

Note: Refers to the firm convictions of the proponents, which are the means for creating these doctrines.

इति (iti) - thus, in this manner

(indeclinable)

particle

प्रौढाः (prauḍhāḥ) - well-established, fully conceptualized (mature, fully developed, strong, bold)

(adjective)

Nominative, feminine, plural of prauḍha

prauḍha - grown up, mature, fully developed, strong, bold

from pra + √vah (to carry) in sense of 'carried forward, developed' or pra + ūḍha (from √vah).

Prefix: pra

Root: vah (class 1)

नानाकाराः (nānākārāḥ) - of various forms, diverse in nature

(adjective)

Nominative, feminine, plural of nānākāra

nānākāra - having various forms, diverse, multiform

Compound type : bahuvrīhi (nānā+ākāra)

• nānā – various, diverse, manifold
  indeclinable
• ākāra – form, shape, appearance, aspect
  noun (masculine)
  from ā + √kṛ (to do, make)
  Prefix: ā
  Root: kṛ (class 8)

हि (hi) - emphasizes the statement (indeed, surely, for)

(indeclinable)

particle

रीतयः (rītayaḥ) - philosophical systems or tenets (doctrines, methods, ways, systems)

(noun)

Nominative, feminine, plural of rīti

rīti - manner, method, custom, style, doctrine, system

from √rī (to flow)

Root: rī (class 4)

Note: Subject of the implicit verb 'santi' (are).