WORST_CASE(?,O(n^2))
* Step 1: NaturalPI WORST_CASE(?,O(n^2))
    + Considered Problem:
        - Strict TRS:
            *(x,+(y,z)) -> +(*(x,y),*(x,z))
            *(x,1()) -> x
            *(+(x,y),z) -> +(*(x,z),*(y,z))
            *(1(),y) -> y
        - Signature:
            {*/2} / {+/2,1/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*} and constructors {+,1}
    + Applied Processor:
        NaturalPI {shape = Mixed 2, restrict = Restrict, uargs = UArgs, urules = URules, selector = Just any strict-rules}
    + Details:
        We apply a polynomial interpretation of kind constructor-based(mixed(2)):
        The following argument positions are considered usable:
          uargs(+) = {1,2}
        
        Following symbols are considered usable:
          {*}
        TcT has computed the following interpretation:
          p(*) = 1 + 2*x1 + 3*x1*x2 + 5*x2
          p(+) = 2 + x1 + x2              
          p(1) = 1                        
        
        Following rules are strictly oriented:
        *(x,+(y,z)) = 11 + 8*x + 3*x*y + 3*x*z + 5*y + 5*z
                    > 4 + 4*x + 3*x*y + 3*x*z + 5*y + 5*z 
                    = +(*(x,y),*(x,z))                    
        
           *(x,1()) = 6 + 5*x                             
                    > x                                   
                    = x                                   
        
        *(+(x,y),z) = 5 + 2*x + 3*x*z + 2*y + 3*y*z + 11*z
                    > 4 + 2*x + 3*x*z + 2*y + 3*y*z + 10*z
                    = +(*(x,z),*(y,z))                    
        
           *(1(),y) = 3 + 8*y                             
                    > y                                   
                    = y                                   
        
        
        Following rules are (at-least) weakly oriented:
        
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            *(x,+(y,z)) -> +(*(x,y),*(x,z))
            *(x,1()) -> x
            *(+(x,y),z) -> +(*(x,z),*(y,z))
            *(1(),y) -> y
        - Signature:
            {*/2} / {+/2,1/0}
        - Obligation:
            innermost runtime complexity wrt. defined symbols {*} and constructors {+,1}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^2))