be on the increase (/rise) daily (/day by day); be steadily on the increase; grow with each passing day; multiply (/increase) daily
❍ 两国之间的技术合作和文化交流正在～。The technical cooperation and cultural exchanges between the two countries are daily on the increase.
❍ 他们谣言的制造厂，“共产党暴动”、“八路军退却”一类的谣言，今后将要～。(《毛泽东选集》366) They are manufacturing rumours,and stories such as “the Communists are engaged in insurrection” and “the Eighth Route Army is in retreat”are sure to multiply daily.
与日俱增
grow with each passing day;be steadily on the increase;multiply daily;increasing
祝我们两国友谊～。May the friendship between our two countries grow (or increase)with each passing day.
与日俱增yǔ rì jù zēnɡ
随时间的推移而不断地增加。形容不断增长，也指增长非常快。be steadily on the increase, increase daily, grow in time