Joshua Boyle, his American wife and three children arrived in Toronto on Friday after being freed from captivity in Pakistan, the Canadian government announced.

Boyle and his wife Caitlan Coleman were captured by the Taliban while hiking in Afghanistan in 2012, and then turned over to the affiliated militant Haqqani network in Pakistan.

Boyle said upon arriving back in Canada that the Haqqani network in Afghanistan had killed his infant daughter and raped his wife during the years they were held in captivity.

The couple was rescued on Wednesday, five years after they had been abducted by the Taliban-linked extremist network while in Afghanistan as part of a backpacking trip. Coleman was pregnant at the time and had four children in captivity. The birth of the fourth child had not been publicly known before Boyle appeared before journalists at the Toronto airport.

“The stupidity and evil of the Haqqani network's kidnapping of a pilgrim and his heavily pregnant wife engaged in helping ordinary villagers in Taliban-controlled regions of Afghanistan was eclipsed only by the stupidity and evil of authorising the murder of my infant daughter,” he said.

Boyle said his wife was raped by a guard who was assisted by his superiors. He asked for the Afghan government to bring them to justice.

“God willing, this litany of stupidity will be the epitaph of the Haqqani network,” he said.

He said he was in Afghanistan to help villagers “who live deep inside Taliban-controlled Afghanistan where no NGO, no aid worker and no government has ever successfully been able to bring the necessary help”.

On the plane from London, Boyle provided a written statement to The Associated Press saying his family has “unparalleled resilience and determination”. Coleman, who is from Stewartstown, Pennsylvania, sat in the aisle of the business-class cabin wearing a tan-colored headscarf.

She nodded wordlessly when she confirmed her identity to a reporter on board the flight. In the two seats next to her were her two elder children. In the seat beyond that was Boyle, with their youngest child in his lap. US State Department officials were on the plane with them.

The handwritten statement that Boyle gave the AP expressed disagreement with US foreign policy.

“God has given me and my family unparalleled resilience and determination, and to allow that to stagnate, to pursue personal pleasure or comfort while there is still deliberate and organised injustice in the world would be a betrayal of all I believe, and tantamount to sacrilege,” he wrote.

He nodded to one of the State Department officials and said, “Their interests are not my interests.” He added that one of his children is in poor health and had to be force-fed by their Pakistani rescuers.

The family was able to leave the plane with their escorts before the rest of the passengers. There was a short delay before everyone else was allowed out.

“It will be of incredible importance to my family that we are able to build a secure sanctuary for our three surviving children to call a home,” he said in his later statement at the airport. “To try to regain some portion of the childhood that they have lost.”

Dan Boyle, Joshua's younger brother, said outside the family home in Smiths Falls, Ontario, that he had spoken to his brother a few times in the past few days.

“He's doing very well. He sounds a lot like how he sounded five years ago. He sounds like he had his head on his shoulders and his wits about him,” he said.

'Kill the hostage'

The Canadian government said in a statement they will “continue to support him and his family now that they have returned”.

“Today, we join the Boyle family in rejoicing over the long-awaited return to Canada of their loved ones,” the Canadian government said.

Foreign Office spokesman Nafees Zakaria said the Pakistan Army raid that led to the family's rescue was based on a tip from US intelligence and shows that Pakistan will act against a “common enemy” when Washington shares information.

US officials have long accused Pakistan of ignoring groups like the Haqqani network. US officials consider it a terrorist organisation and have targeted its leaders with drone strikes. But the Haqqani group also operates like a criminal network. Unlike the militant Islamic State (IS) group, it does not typically execute Western hostages, preferring to ransom them for cash.

A US national security official, who was not authorised to discuss operational details of the release and spoke only on condition of anonymity, said the US obtained actionable information, passed it to Pakistani government officials, asked them to interdict and recover the hostages and they did.

President Donald Trump, who previously had warned Pakistan to stop harbouring militants, praised Pakistan for its “cooperation on many fronts”. On Twitter, he wrote Friday that the US is starting to develop “a much better relationship with Pakistan and its leaders”.

The operation appeared to have unfolded quickly and ended with what some described as a dangerous raid, a shootout and a captor's final, terrifying threat to “kill the hostage”.

Boyle told his parents that he, his wife and their children were intercepted by Pakistani forces while being transported in the back or trunk of their captors' car and that some of his captors were killed. He suffered only a shrapnel wound, his family said. US officials did not confirm those details.

'Horrible coincidence'

A US military official said that a military hostage team had flown to Pakistan on Wednesday prepared to fly the family out. The team did a preliminary health assessment and had a transport plane ready to go, but sometime after daybreak Thursday, as the family members were walking to the plane, Boyle said he did not want to board, the official said.

Boyle's father said his son did not want to board the plane because it was headed to Bagram Air Base and the family wanted to return directly to North America. Another US official said Boyle was nervous about being in “custody” given his family ties.

Boyle chose to fly back from Islamabad to Canada on commercial airlines via London.

He was once married to Zaynab Khadr, the older sister of former Guantanamo Bay detainee Omar Khadr and the daughter of a senior Al Qaeda financier. Her father, the late Ahmed Said Khadr, and the family stayed with Osama bin Laden briefly when Omar Khadr was a boy.

See: Canada to apologise, pay former Gitmo prisoner Omar Khadr $8m

The Canadian-born Omar Khadr was 15 when he was captured by US troops following a firefight and was taken to the US detention centre at Guantanamo Bay. Officials had discounted any link between that background and Boyle's capture, with one official describing it in 2014 as a “horrible coincidence”.

The US Justice Department said neither Boyle nor Coleman is wanted for any federal crime. On Thursday, Canadian Foreign Minister Chrystia Freeland said Boyle was not a target of investigation in Canada.

The Haqqani network had previously demanded the release of Anas Haqqani, a son of the founder of the group, in exchange for turning over the American-Canadian family. In one of the videos released by their captors, Boyle implored the Afghan government not to execute Taliban prisoners, or he and his wife would be killed.

US officials have said that several other Americans are being held by militant groups in Afghanistan or Pakistan.

They include Kevin King, 60, a teacher at the American University of Afghanistan in Kabul who was abducted in August 2016, and Paul Overby, an author in his 70s who had traveled to the region several times but disappeared in eastern Afghanistan in mid-2014.