The Bhāradvāja mūla-bheda heads establish a new accuracy–complexity bound for ellipse perimeter geometry, outperforming the classical Ramanujan II benchmark by a factor of approximately 5.5 million on the stated benchmark domain. This result is driven by the Circle-Distance Identity, which represents ellipse speed as a pointwise circular-distance law and the perimeter as a mean circular-distance law. By bringing Mahāvīra’s 9th-century āyata-vṛtta endpoint intuition into a modern minimax framework, this work identifies the mūla-bheda coordinate as a natural analytic basis for compact algebraic evaluation.
Rāma Bhāradvāja (Tue,) studied this question.