GOP's Carly Fiorina, rising in the polls, shows off a lighter side on 'The Tonight Show'

Republican presidential candidate Carly Fiorina impressed many with her strong performance in the second presidential debate, as she railed passionately against Planned Parenthood and outlined her hardline views on foreign policy.

But she showed off a lighter side on Monday night during an appearance on "The Tonight Show Starring Jimmy Fallon."

Fiorina, the former Hewlett-Packard CEO who has jumped to second-place in several public opinion polls, ended her appearance on the show by sharing a song she'd made up about her lazy dog, Snickers, who'd prefer to sleep than take walks.

"My name's Snick and you're going to have to carry me," she sang to the tune of "Rock Around the Clock," earning loud applause.

Fiorina, one of a long list of Republican hopefuls, has been working to introduce herself to voters. She talked about rising from a secretary to the CEO of Hewlett-Packard, where her tenure has been criticized.

She also took a couple of jabs at current GOP front-runner Donald Trump, criticizing his willingness to meet with Russian President Vladimir Putin.

"The two of them have a lot in common, actually," she said of Trump to laughs from the crowd.

Fiorina talked about meeting Putin while the two were waiting to speak at an event in Beijing. She described Putin as "a formidable adversary," who could be "quite funny and charming."

She also denounced rival Ben Carson's recent comments about not wanting a Muslim elected to the White House.

"Well I think that's wrong," said Fiorina.

"You know it says in our Constitution that religion cannot be a test for office," she added. "It is also true that this country was founded on the principle that we judge each individual and that anyone of any faith is welcome here."