CVXPY
Minimize
  exp(x)
Subject To
 5: 1.0 <= x
Bounds
 x free
End
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AFTER COMPILATION
Either candidate conic solvers (['GUROBI']) do not support the cones output by the problem (ExpCone, NonNeg), or there are not enough constraints in the problem.
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GUROBI
Minimize
  exp_1
Subject To
 5: x >= 1
Bounds
 x free
 exp_1 free
General Constraints
\ exp_1 = exp(x)
 GC0: exp_1 = NL : ( EXP , -1 , -1 ) ( VARIABLE , x , 0 )
End