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Tr[list] vs Plus@@list

• To: mathgroup at smc.vnet.net
• Subject: [mg73718] Tr[list] vs Plus@@list
• From: "dimitris" <dimmechan at yahoo.com>
• Date: Sun, 25 Feb 2007 04:41:12 -0500 (EST)

Can somebody explain me the difference in timing performances
between the settings Tr[list] and Plus@@list?

Thanks a lot!

In[1]:=
lst[i_] := Table[Random[], {i}]

In[2]:=
{Timing[Tr[lst[10^4]]; ], Timing[Tr[lst[10^5]]; ],
Timing[Tr[lst[10^6]]; ], Timing[Tr[lst[10^7]]; ]}

Out[2]=
{{0.*Second, Null}, {0.030999999999999972*Second, Null},
{0.15600000000000003*Second, Null}, {2.0469999999999997*Second, Null}}

In[3]:=
{Timing[Plus @@ lst[10^4]; ], Timing[Plus @@ lst[10^5]; ], Timing[Plus
@@ lst[10^6]; ], Timing[Plus @@ lst[10^7]; ]}

Out[3]=
{{0.*Second, Null}, {0.04700000000000015*Second, Null}, {0.484*Second,
Null}, {4.922000000000001*Second, Null}}

• Follow-Ups:
  • Re: Tr[list] vs Plus@@list
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>