Extended Data Fig. 1: Convergence rates of the PCFs.
From: Generating conjectures on fundamental constants with the Ramanujan Machine
The plots present the absolute difference between the PCF value and the corresponding fundamental constant (that is, the error) versus the number of terms calculated in the PCF. On the left are PCFs with exponential/super-exponential convergence rates, and on the right are PCFs that converge polynomially. The majority of previously known PCFs for π converge polynomially, whereas all of our newly found results converge exponentially.
