Timings of rank-based operations

exponent type	char				short				short
monomial operations	vectorized				vectorized				not vectorized
Example	$\displaystyle \frac{t_{<}}{t_{r,<}}$	%R	%comp	$\displaystyle \frac{t}{t_{r}}$	$\displaystyle \frac{t_{<}}{t_{r,<}}$	%R	%comp	$\displaystyle \frac{t}{t_{r}}$	$\displaystyle \frac{t_{<}}{t_{r,<}}$	%R	%comp	$\displaystyle \frac{t}{t_{r}}$
homog cyclic 7	1.4	28.6	24.8	0.7	1.6	24.3	24.2	0.8	2.8	22.0	33.7	1.1
2mat3	1.3	7.6	69.0	1.1	1.7	6.5	74.4	1.4	1.9	5.0	76.3	1.6
averages of 30+ examples
Pentium Pro	1.3	17.1	33.6	0.8	1.4	13.8	33.8	0.9	2.1	12.6	40.3	1.1
HP C160	1.4	9.1	36.6	0.8	1.6	8.4	39.0	0.9	1.7	9.1	41.6	1.1
DEC Alpha	1.8	11.8	33.1	0.8	1.5	11.7	31.5	0.8	2.4	10.2	35.5	1.0