On Some Efficient Techniques for Solving Systems of Nonlinear Equations

Table 1

Estimation of computational cost of elementary functions computed with Mathematica 7.0 in a processor Intel(R) Core (TM) i5-480M CPU @ 2.67 GHz (64-bit Machine) Microsoft Windows 7 Home Basic 2009, where 𝑥=√3−1 and 𝑦=√5.

Digits	𝑥∗𝑦	𝑙=𝑥/𝑦	√𝑥	exp(𝑥)	ln(𝑥)	sin(𝑥)	cos(𝑥)	arccos(𝑥)	arctan(𝑥)	𝑥^𝑦
4096	0.4665 ms	2.8	1.3	81	78	102	102	166	162	178