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Numeric warnings during symbolic manipulation

• To: mathgroup at smc.vnet.net
• Subject: [mg112759] Numeric warnings during symbolic manipulation
• From: Yaroslav Bulatov <yaroslavvb at gmail.com>
• Date: Wed, 29 Sep 2010 04:15:45 -0400 (EDT)

Last two expressions are equivalent. Why does the second one gives
"N::meprec" warnings? Also, is there a good way to stop Mathematica
from running N on my intermediate expressions?

a = 2/(4 + 1/E^2 + 2 E^2 + E^6) + E^2/(4 + 1/E^2 + 2 E^2 + E^6) +
   E^6/(4 + 1/E^2 + 2 E^2 + E^6);
b = 4/(4 + 1/E^2 + 2 E^2 + E^6) + 1/(
   E^2 (4 + 1/E^2 + 2 E^2 + E^6)) + (2 E^2)/(
   4 + 1/E^2 + 2 E^2 + E^6) + E^6/(4 + 1/E^2 + 2 E^2 + E^6);
Exp[Log[a/b]]
Exp[Log[a] - Log[b]]

• Follow-Ups:
  • Re: Numeric warnings during symbolic manipulation
    • From: Daniel Lichtblau <danl@wolfram.com>