According to worldometers stats, NY is at 40 tests per death, while the US average is at 100 tests per death. Spain and Italy are in the vicinity of 75 and even Belgium (hardest hit nation state in Europe) is still managing 55. New York is definitely not "testing like crazy", they are hardly keeping up. Portugal for example is at more than 400 tests/death, Czechia at 1000. Testing like crazy is what Singapore or Australia are doing.