improve on/upon
phrasal verb
            
              improved on/upon; improving on/upon; improves on/upon            
        
    
                                
              
          
                                                      : to do better than (something previously done)                                      
              
                             
After months of study, I improved on my original score.
                                       It'll be hard to improve upon the success they had last year.
                         
                
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  Merriam-Webster unabridged




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