has been trying exercising vs has been trying exercise

Some examples from the web:

• He was getting out more, exercising, trying to get on with his life.
• He was getting out more, exercising, trying to get on with his life.
• Whatever's coming has been trying to send us a message.
• For years, Coney Island has been trying to attract this kind of development.
• Mr. Max has been trying to quit.
• The resistance has been trying to jam the network for five years.
• I believe that's daughter... has been trying to tell you.
• Your godfather has been trying to convince them to.
• One of yours has gone rogue and has been trying to kill us.
• Science has been trying to crack the technology but without much luck.
• Stahl has been trying to undermine me for the last two years.
• In recent days we have heard that Mrs Sanders has been trying to make the first reading suffice.
• Someone has been trying to crack NCIS's private files from the outside.
• The key has been trying to find how those forces interact.
• Ralph has been trying to call him all morning.
• And he has been trying to hard lately.
• And he has been trying to hard lately.
• Zoila has been trying to undermine my relationship with Genevieve.
• Angelo has been trying to reach you.
• It seems your friend Claire has been trying to get in touch.

Some examples from the web:

• The Union has therefore raised with the Chinese Government the cases of Xu Wenli and others who have been trying to exercise basic rights that are specified by the United Nation's Covenant on Civil and Political Rights, which was actually signed by China in October 1998.
• I've been trying all those rehabilitation exercises... the... the Epley Maneuver and a couple others... for the last month or so.
• There are many tools at our disposal that we are not even trying to exercise.
• We should be trying to exercise those powers in a way that is even more democratically accountable.
• That too is unacceptable, just like the influence which ambassadors are systematically trying to exercise.
• Mr President, 58 people lost their lives on Sunday trying to exercise their right to vote in the Iraqi elections, and 140 were seriously injured.
• Tonight we're trying a little exercise in team building.
• (11a) Each institution should encourage and educate the staff concerned to assist citizens trying to exercise their rights arising from this Regulation and should establish contact points.
• Whatever's coming has been trying to send us a message.
• For years, Coney Island has been trying to attract this kind of development.
• Mr. Max has been trying to quit.
• The resistance has been trying to jam the network for five years.
• I believe that's daughter... has been trying to tell you.
• Your godfather has been trying to convince them to.
• One of yours has gone rogue and has been trying to kill us.
• Science has been trying to crack the technology but without much luck.
• Stahl has been trying to undermine me for the last two years.
• In recent days we have heard that Mrs Sanders has been trying to make the first reading suffice.
• Someone has been trying to crack NCIS's private files from the outside.
• The key has been trying to find how those forces interact.