सहस्रेण संमितौ घः

Operational rule vidhi

The affix घ comes in the sense of 'like' after the word सहस्र in the Instrumental -3rd case in construction, in the छन्दस् (Vedas).

Word by word (padaccheda)

With / by सहस्रेण tṛtīyā · ekavacanaRight context संमितौ saptamī · ekavacanaSubstitute / term prathamā · ekavacana

With / by Tṛtīyā (3rd case): accompaniment or means.
Right context Saptamī (7th case): "when X follows", the operation applies to what precedes (1.1.66 तस्मिन्निति निर्दिष्टे पूर्वस्य). Also a condition or domain ("in the sense of").
Substitute / term Prathamā (1st case): in operational rules, the substitute or the thing introduced; in definitions, the term or its referent.

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Full reading

सहस्रेण संमितौ

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

The affix घ comes in the sense of 'like' after the word सहस्र in the Instrumental -3rd case in construction, in the छन्दस् (Vedas).
The case of construction is indicated by the sutra. Thus सहस्रेण संमितः = सहस्रियः 'like unto thousand'. As in the following verse:- सहस्रिथासोऽपां नोर्मयः ॥ अयमग्निः सहस्रियः The word संमित means तुल्य 'equal to'. Some read the word समित instead of सम्मित, but the meaning will be the same.

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.