Decomposion a 1D signal into differnt sub band using wavelet

Hi I am working on wavelet and I am new in this field.I want to decompose a signal into multiple band.So I use wavedec() to decompose a signal into 5 level and use wrcoef() to reconstruct individual band.But problem is that when I sum 5 band then this signal is more differ than Original signal. plz any body help me about this. Here my code..

load sumsin; s = sumsin; 
    figure;plot(s);
    % Perform decomposition at level 5 of s using sym4. 
    [c,l] = wavedec(s,5,'sym4');

      % Reconstruct approximation at level 5, 
      % from the wavelet decomposition structure [c,l].
      a1= wrcoef('a',c,l,'sym4',1);
      a2 = wrcoef('a',c,l,'sym4',2);
      a3 = wrcoef('a',c,l,'sym4',3);
      a4 = wrcoef('a',c,l,'sym4',4);
      a5 = wrcoef('a',c,l,'sym4',5);

       figure; subplot(5,1,1); plot(a1); title('Approximation at level 1');
       subplot(5,1,2); plot(a2); title('Approximation at level 2');
       subplot(5,1,3); plot(a3); title('Approximation at level 3');
       subplot(5,1,4); plot(a4); title('Approximation at level 4');
       subplot(5,1,5); plot(a5); title('Approximation at level 5');
       figure;plot(a1+a2+a3+a4+a5);title('Reconstruct Original signal');

[Maryam]

You should calculate d1+d2+d3+d4+d5+a5 to get the original signal. Check https://au.mathworks.com/help/wavelet/ref/wavedec.html