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SHARE INCENTIVE PLANS: (Details 5) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Share-based compensation expense      
Total share-based compensation expense $ 71,118 $ 50,764 $ 47,235
Total unrecognized share-based compensation costs related to non-vested awards $ 121,200    
Weighted average period for recognition of unrecognized share-based compensation costs (in years) 2 years 9 months 18 days    
Employee stock option [Member]      
Share-based compensation expense      
Total share-based compensation expense $ 2,711 6,680 8,974
ESPP [Member]      
Share-based compensation expense      
Total share-based compensation expense 6,394 4,007 3,976
Restricted Stock Units (RSUs) [Member]      
Share-based compensation expense      
Total share-based compensation expense 62,013 40,077 34,285
Cost of sales [Member]      
Share-based compensation expense      
Total share-based compensation expense 2,375 2,366 2,162
Research and development expense [Member]      
Share-based compensation expense      
Total share-based compensation expense 40,475 28,821 26,979
Sales and marketing [Member]      
Share-based compensation expense      
Total share-based compensation expense 15,183 10,309 9,755
General and administrative expense [Member]      
Share-based compensation expense      
Total share-based compensation expense 13,085 $ 9,268 $ 8,339
EZchip [Member]      
Share-based compensation expense      
Share-based compensation $ 4,800