Table 2.

Effect of turning off optimizations XOR-Rewriting (−xor), Common-Rewriting (−com) and Vanishing Constraints (−vc) keeping Adder-Rewriting disabled

mult	n	Mathematica				Singular
		+inc	−xor	−com	−vc	+inc	−xor	−com	−vc
btor	16	2	5	2	3	1	1	1	1
btor	32	14	31	4	15	10	28	5	12
btor	64	131	292	22	128	MO	MO	MO	MO
btor	128	TO	TO	186	TO	EE	EE	EE	EE
sp-ar-rc	16	4	17	TO	4	1	6	TO	1
sp-ar-rc	32	30	171	TO	31	28	242	TO	28
sp-ar-rc	64	300	TO	TO	303	MO	EE	MO	MO
sp-ar-rc	128	TO	TO	TO	TO	EE	EE	EE	EE