Hi

The command 'bool(3<pi)' takes 0.1 second on my machine.  This
makes plotting/computing piecewise-defined trigonometric functions
rather slow.  

The culprit seems to be sage.calculus.SymbolicExpression.__lt__(self, right).
It always yields a SymbolicEquation, which is then solved in Maxima.
Maybe we can speed this up with a check along the line of,

  if ( self is constant
       and  type(right) is Integer, RealNumber,... ):

       temp = self, coerced into RealNumber with appropriate precision.
       return temp.__lt__(right)

Related issue: '3<4' yields a bool, while '3<pi' yields an
instance of SymbolicEquation.  Maybe '3<pi' should just yield a
bool too.

Paisa

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