test_multiply = ->
	if DEBUG then console.log "test_multiply ----------------------------"
	run_test [

			"0*a",
			"0",

			"a*0",
			"0",

			"1*a",
			"a",

			"a*1",
			"a",

			"a*a",
			"a^2",

			"a^2*a",
			"a^3",

			"a*a^2",
			"a^3",

			"a^2*a^2",
			"a^4",

			"2^a*2^(3-a)",		# symbolic exponents cancel
			"8",

			"sqrt(2)/2",
			"2^(-1/2)",

			"2/sqrt(2)",
			"2^(1/2)",

			"-sqrt(2)/2",
			"-1/(2^(1/2))",

			"2^(1/2-a)*2^a/10",
			"1/(5*2^(1/2))",

			"i/4",
			"1/4*i",

			"1/(4 i)",
			"-1/4*i",

			# ensure 1.0 is not discarded

			"1.0 pi 1/2",
			"0.5*pi",

			"1.0 1/2 pi",
			"0.5*pi",
		]