The moderator of the first chaotic presidential debate is feeling a bit stung right now.

"First of all, I'm jealous," admitted Chris Wallace of Fox News, who took a lot of criticism over his handling of that ill-tempered event. "I would have liked to been able to moderate that debate and get a real exchange of views instead of hundreds of interruptions."

In case you forgot the bickering and volatile back-and-forth of that first night, we've summed it all up for you in the video below.

There was little consensus on our voter panel tonight - until the end.

For our final question, we asked voters for a quick thumbs up scale reaction. Thumbs up? Feeling really confident about America after this debate. Thumbs down? Feeling really scared and ready to leave the country.

As you can see, they all agreed. (We swear this wasn't planned.)

After the debate, our two undecided voters had more clarity. Here's what they said:

Noel Brown, undecided voter from North Carolina: “The debate did very little to help me. But I am leaning more towards Trump now because of Biden's answers on economics. I don't agree with him at all."

Andrew Marsteller, undecided voter from Michigan: "Trump appealed to me on only one issue, and I still don't like his personality. I have enough information now. Biden is who I’m going to go for, although he’s not my favourite choice.”

We're watching tonight's debate with voters from battleground states -the places that will ultimately decide the election.

Join our voter panel or submit your questions on the US election.

Image source, Getty Images

There doesn't seem to be a clear winner out of the debate just yet, but in terms of talking time this evening, Trump edged out Biden.

According to a record by CNN, Trump spoke for just over 41 minutes, and Biden for 37 minutes 53 seconds.

The split reflects the relatively measured performances from both candidates - a far cry from their first match-up.

Moderator Kristen Welker and the selective muting of the candidates' microphones are both being credited with the improved showing this time around.

Reality Check

During a heated exchange on immigration, Trump claimed that the Obama-Biden administration built 'cages' where migrant children were locked up as they awaited immigration trials. "They did it, we changed the policy…. They built the cages. Who built the cages, Joe? Who built the cages, Joe?" he demanded.

Trump’s right about the policy. When Barack Obama and Joe Biden were in office, facilities with chain link fencing were built to house the high numbers of unaccompanied children who crossed into the US from Mexico before they were transferred elsewhere.

Jeh Johnson, the head of Homeland Security during the Obama administration referenced this issue in 2019: “Very clearly, chain link, barriers, partitions, fences, cages, whatever you want to call them, were not invented on January 20, 2017, OK.”(This is the date of President Trump’s inauguration).

Republican strategist Ron Christie tells BBC News he doesn't think the debate will change the outcome of the election - despite being better mannered and better managed.

"I think this is largely a wash. If you're scoring this as a boxing match, both candidates landed some blows, they had some jabs... but ultimately the American people are going to look at this... Many millions of people have already voted, and I don't really think there are that many undecided voters in this country.

"But what they both did do, was assure the electorate that yes, the president was a lot less bellicose," Christie said.

"He was a lot less - candidly - combative. And the vice-president came out and had some very strong lines, some very strong performances.

"I think they both did what they needed to do tonight."

Image source, Getty Images

A lot of praise is being handed out online to Kristen Welker, the NBC journalist who moderated tonight's event. The 44-year-old has won plaudits for her handling of the debate - cutting off both candidates as required to keep them to time.

Her NBC colleague Andrea Mitchell praised Welker for "clearly being in command from start to finish", and American author Jon Gordon said he thought she did "an incredible job".

Meanwhile, many people online are sharing a quote from MSNBC journalist Rachel Maddow, who labelled her "the real winner" of the debate.

Reality Check

On the issue of the environment, Trump said: “We have the cleanest air, the cleanest water”.

Trump is right about clean air but not about water.

The Environmental Protection Agency (EPA) says the US currently has the cleanest air on record.

Over the past few decades, air quality - a measure of six major pollutants - has improved significantly in the US.

On water, however, the US is ranked 26th in the world on sanitation and drinking water, according to Yale University.

On this ranking, Finland, Iceland, the Netherlands, Norway, Switzerland and the UK have the cleanest water.

Trump campaign manager Bill Stepien ruled the president "completely unmasked Joe Biden as a Washington politician who is all talk and no action".

He said Trump successfully laid out the case that he has done more "in 47 months than Biden has in 47 years".

"Most shockingly, Biden declared his intention to end the oil industry," Stepien said, adding that Trump is the "champion of workers, farmers and Main Street".

"President Trump won this debate in a blowout.”

Laura Trevelyan
BBC World News America presenter, Nashville, Tennessee

This was more substantive. The Trump campaign people were telling me going into it that there would be personal attacks on Joe Biden, and the president would outline his vision for a second term.

Well, you got the personal attacks, but in terms of the second term, the president said he was going to rebuild the economy back to where it was again, but he was a little short on specifics.

Meanwhile Joe Biden talked about what he called "Bidencare" saying he would be building on Obamacare, and committed himself to a minimum wage of $15. He also said he would send a bill to Congress giving a pathway to citizenship to 11 million undocumented immigrants. So a lot of specifics from Biden, not quite as many from the president.

The president started off a little weakly on the coronavirus section and gained in confidence throughout - but Joe Biden had one of the lines of the night: he [Trump] is talking about learning to live with it - well, people are learning to die with it.

The reality of course is that more than 1,000 people died from coronavirus yesterday.

Both candidates leaned on rehearsed lines at some points. President Trump cast himself as the outsider, referring to "you politicians". But the difference from 2016 is that now he has a record to run on.

Anthony Zurcher
BBC North America reporter

In the first presidential debate, Trump talked himself into trouble when the topic turned to race relations, as he danced around whether to directly condemn white supremacist groups. This time around, the president was considerably more nimble.

He boasted about his bipartisan criminal justice reform and funding for historically black colleges. He attacked Biden for his sponsorship of a draconian crime bill in the 1990s that led to a sharp rise in the number of black Americans in prisons.

And, perhaps, most potently, when Biden began talking about his proposals for reform, he questioned why the former vice-president didn’t accomplish more when he served with President Barack Obama.

“It’s all talk but no action with these politicians,” Trump said. “Why didn’t you get it done? You had eight years to get it done.”

Anyone who lived through the “tough on crime” 1990s in the US would probably be shocked by this debate exchange, where both candidates talked about the number of felons to whom they gave clemency and their efforts at reducing the number of incarcerated Americans.

As the mass demonstrations against institutional racism demonstrated earlier this year, the times have indeed changed.

Moments ago, Donald Trump attacked the Obama administration's immigration policies, calling out the practice of "catch and release", in which undocumented migrants are released pending trial.

Tonight he suggested that this practice only works for those with the "lowest IQs".

Trump has long been a critic of Obama-era immigration policies, repeatedly denouncing the policies before his administration began criminally prosecuting adult migrants and holding their children separately to deter border crossings in April, 2018.

Reality Check

In the section on national security, President Trump insisted he was tough on Russia and said: "I've got the Nato countries to put up an extra $130 billion going to $420 billion a year, that's to guard against Russia".

Trump's statement implies these figures are annual increases, but that's not correct.

Since 2016, European countries and Canada have increased investment in their defence budgets by $130 billion. But this has been over a number of years, rather than every year.

“By the end of 2020, European Allies and Canada will have spent an extra 130 billion US dollars on defence since 2016. This figure is due to rise to 400 billion by the end of 2024,” says a Nato report.

We've looked at the issue of President Trump and Nato contributions before.

On Twitter, Abraham Lincoln is now the third-top trend in the US after the back-and-forth between the candidates about the 16th president. People are tweeting about Scranton, primarily focussing on Trump's statement that Biden left the Pennsylvania city at a young age, and some are also searching for 'coyotes' - the term used earlier to mean people who smuggle migrants across the US-Mexico border.

There have been just over 100,000 tweets about debate moderator Kristen Welker, with the majority praising her for cutting off both candidates when they run over time.

And elsewhere, according to data provided by search giant Google, one of the most popular searches online concerns the claim that Hunter Biden received $3.5m (£2.6m) from the wife of the former mayor of Moscow. (The claim is unproven.)

We just went into overtime, apparently, as the debate has passed the 90 minutes agreed upon by each campaign. The last topic of the night was leadership, but it was very truncated.

The moderator's question was what the candidates would say in their inauguration speech to the voters who did not want them to win.

Trump says that before the virus, he would hear from people from all walks of life telling him of how much their lives had improved under his presidency. "Success is going to bring us together. We are on the road to success," he says.

"I'm gonna give you hope," Biden says when asked the same question. "We're going to choose science over fiction. We're going to choose hope over fear."

That, was pretty much a wrap.

The conversation turned to the Trump and Obama administration's handling of migrants at the border. Here's what our voters said.

Noel Brown, undecided voter: “I think Biden threw Obama under the bus, which I don’t like. I think there is blame on both sides.”

Lesley Batson, Biden voter: “I agree, Biden should have not said it that way. But the only reason why Obama's immigration plan didn’t go through was because Republicans stopped it.”

Eliana Girard, Trump voter: “I trust Trump on immigration because I used to live close to the border and saw how much human trafficking was going on."

Then the conversation turned to the candidates' records in politics.

Rom Solene, Trump voter: “Biden has been in government since I was 11 years old, now I'm 59. I don’t care what party anybody belongs to, if you've have been in office for that long, it’s far too long.”

Jessica Altobelli, Biden voter: “I think it’s rich that Trump just keeps going after Biden’s records in the '80s and '90s. He said himself he regrets some things he did back then."

Andrew Marsteller, undecided voter: “Trump says things that are very racist, for example, when he said Mexican rapists came over the border."

We're watching tonight's debate with voters from battleground states -the places that will ultimately decide the election.

Join our voter panel or submit your questions on the US election.

Chelsea Bailey
Digital producer, BBC News, Washington DC

Many Americans who support President Trump are drawn to his leadership style.

Jim Vasilko, a Trump supporter in Johnstown, Pennsylvania, said he likes the fact that the president can be brash at times because he’s sharing his unvarnished opinion, instead of political spin. "I'll give you any adjective that you want to use to describe President Trump. If you want to say he's arrogant, bombastic. Okay, I'll give you that," Vasilko said. "Now, tell me why he's a bad president. Nobody has an answer."

Vasilko lives in a part of rural Pennsylvania that has embraced being called "Trump Country".

But not everyone in Johnstown backs the president.

Jim and Tammy Fiffick voted for Trump in 2016, but now say they regret their decision because of how the administration has handled the pandemic.

"He’s not the kind of person you want in a disaster, which is what we’re in," Tammy said. Her husband said he also doesn't like Trump’s character.

"I mean, realistically, you want someone in leadership that has compassion,” he said.

"I think President Trump is so removed from that - just because [of] his status and his affluence - he really doesn't realise what people have to go through to live day by day."

Still on the topic of climate change, Trump criticises "massive windmills" involved in wind power, and says he "loves solar, but it's not powerful yet to really run our big, beautiful factories."

This is questionable.

Figures for 2019, external show renewable energy provided more of America's energy than coal for the first time in over 130 years.

However, the crux of Trump's arguments resisting Democrats' enthusiasm for alternative energy investment - that these options are too expensive and require too big of a shift for traditional energy workers - is one that will resonate with a discernible swathe of American voters.

Tara McKelvey
BBC News, Washington

Image source, Getty Images

Progressives have condemned the president’s hardline policies regarding protests. They’ve been appalled by his rhetoric and his actions. Trump says he has been misunderstood: “I’m the least racist person,” he told the audience in the debate hall.

In conservative states many people say that he’s right and that his handling of the protests has been measured. Rosella Roberts of Steelville, Missouri, told me she’s been concerned about violence: "I'm not saying that all of the people who are protesting are evil. But when you shoot at a policeman - that's just evil."

Left-wingers may be horrified. But Roberts says the president is doing what is necessary to keep cities and suburbs safe.

Read more about what Trump states make of this summer's unrest.

Moderator Kristen Welker observes the two candidates have very different visions on climate change, and asks how they would combat it while preserving jobs

Trump says he loves the environment and wants the cleanest water and air. "We have the best, lowest number of carbon emissions," he says.

By contrast, he accuses China and Russia of being "filthy".

In fact, US emissions have fallen in part due to the decline in America's coal industry. State support for renewable energy and cheaper natural gas have contributed to less coal use - and coal is the dirtiest fossil fuel.

Biden says we have a moral obligation to deal with climate change, and four more years of Trump eliminating pollution regulations will put the US in real trouble.

He says his climate plan will "create millions of jobs".