Spain reached the quarter-finals of the Women's World Cup for the first time after producing an outstanding display of firepower in Auckland to send Switzerland out.
La Roja were beaten 4-0 in their final group game by Japan five days earlier in Wellington but bounced back in style to score four times during a dominant first half showing in front of 43,217 - a record crowd for a football match in New Zealand.
Aitana Bonmati swept the Spanish ahead before Switzerland equalised when Laia Codina, without looking up, hit a back pass past her own keeper and into the net from 10 yards inside her own half.
Spain soon restored their lead through Alba Redondo's header before Barcelona midfielder Bonmati produced a classy finish to make it 3-1.
In an incredible opening half, Codina made up for her own goal by adding Spain's fourth after a scramble inside the box.
They added another after half-time through Jennifer Hermoso's clinical finish - her third goal of this tournament.
For the last year or so, there has been a bit of a split in the Spain camp and a lot of players are missing from this squad - good players who play for Barcelona, high-quality players who play in the Champions League.
The best player in the world - Alexia Putellas - is on the bench.
Did they get tested by Switzerland today? Probably not. It will be interesting defensively when they play Netherlands or South Africa - but certainly going forwards they pose a threat.
'The Spain that we know'
Switzerland 1-5 Spain
Laura Georges
Former France international on BBC One
It was the Spain that we know - that like to keep the ball, move around, work together as a team.
The difference between this Spain against Switzerland and the Spain we saw against Japan was that they were really precise with the ball, really accurate and really clinical in front of goal.
That made the difference.
Bonmati brilliance
Switzerland 1-5 Spain
Two assists and two goals for Aitana Bonmatí, who was outstanding in that game.
This was a brilliant bit of skill and finish for Spain's third.
Post update
Switzerland 1-5 Spain
Fern Whelan
Former England and Brighton defender on BBC One
It was a bit disappointing from the Swiss but credit to Spain, it was a fantastic performance from them.
'Spain showed their class'
Switzerland 1-5 Spain
Steph Houghton
Manchester City defender on BBC One
I think it was the reaction we expected from Spain - but we wanted more from Switzerland in attack.
Spain were clinical today - they really showed their class, technique and movement. Every goal was unbelievable in terms of build-up, technique and finishes.
Post update
Switzerland 1-5 Spain
Some of Switzerland's players are in tears as their World Cup comes to an end but they can be proud of their run to the knockouts.
A shame for goalkeeper Gaëlle Thalmann. She's made some good saves in this tournament and, at 37, this could be the last time we see her on the world stage.
Post update
Switzerland 1-5 Spain
It will be a first quarter-final appearance for Spain, who will next meet either Netherlands or South Africa.
Neither side will relish facing Spain on that showing.
FULL-TIME
Switzerland 1-5 Spain
All over!
A statement win for Spain as they march into the quarter-finals.
Getty ImagesCopyright: Getty Images
Post update
Switzerland 1-5 Spain
A chance for a second for Switzerland as Fabienne Humm tries to catch Cata Coll off her line but she sends her shot wide.
Post update
Switzerland 1-5 Spain
Just the four minutes of time added on at the end of the 90.
Post update
Switzerland 1-5 Spain
Gilly Flaherty
Former England defender on BBC One
Switzerland have shown more fight in this last 10-15 minutes when they are 5-1 down, than they have done the whole game.
You question why was that fight not there from minute one?
Post update
Switzerland 1-5 Spain
Into the final minute of a game that was in truth over a long, long time ago.
The winner of the tie between South Africa and the Netherlands await Spain in the quarter-finals.
'A long time coming'
Switzerland 1-5 Spain
Sanny Rudravajhala
Reporting for 5 Live Sport
It’s
quite incredible to think Spain have never won a tournament knock-out game
before. They came mighty close against England at the Euros and since then have
had the controversy around ‘las quince’ - the 15 players who demanded an end to
the Jorge Vilda regime.
The Spain head coach remained in post, froze out the
majority of those players and, in winning this tie, they’ll be on the road to
replicating the success he’s had with the junior sides. He won eight medals in
five years across U17 and U19 sides, so this has been a long time coming
given this is his eighth year with the senior women’s side.
Watch: Hermoso gets Spain's fifth
Switzerland 1-5 Spain
Post update
Switzerland 1-5 Spain
Alexia Putellas is almost put in on goal as Athenea del Castillo does well on the flank, cutting inside before slipping the ball between defenders but Putellas just can't quite reach the pass.
Post update
Switzerland 1-5 Spain
Another change for Spain as Salma Paralluelo is replaced by Athenea del Castillo.
Switzerland also make a change as Lara Marti comes on for Nadine Riesen.
Five minutes to go.
Post update
Switzerland 1-5 Spain
Twenty four shots on goal for Spain, in contrast to just the one for Switzerland.
I suspect that number for Spain will be closer to 30 by full time.
Getty ImagesCopyright: Getty Images
New Zealand record crowd
Switzerland 1-5 Spain
Neil Johnston
BBC Sport at Eden Park
Oh wow. History is being made at Eden Park. There are 43,217 here for this match - a New Zealand record crowd for a football match. The crowd roar its approval as it is announced over the speakers.
Live Reporting
Gary Rose
All times stated are UK
Rex FeaturesCopyright: Rex Features 
Getty ImagesCopyright: Getty Images 
Getty ImagesCopyright: Getty Images 
Getty ImagesCopyright: Getty Images
Latest PostPost update
What a way to start the knockouts.
Japan, who beat this Spain side 4-0 in the group stage, face Norway in today's other last-16 match.
That gets under way at 09:00 BST and we'll have live coverage of that game here, starting at 08:30.
See you later!
Spain sweep into quarter-finals
Neil Johnston
BBC Sport at Eden Park
Spain reached the quarter-finals of the Women's World Cup for the first time after producing an outstanding display of firepower in Auckland to send Switzerland out.
La Roja were beaten 4-0 in their final group game by Japan five days earlier in Wellington but bounced back in style to score four times during a dominant first half showing in front of 43,217 - a record crowd for a football match in New Zealand.
Aitana Bonmati swept the Spanish ahead before Switzerland equalised when Laia Codina, without looking up, hit a back pass past her own keeper and into the net from 10 yards inside her own half.
Spain soon restored their lead through Alba Redondo's header before Barcelona midfielder Bonmati produced a classy finish to make it 3-1.
In an incredible opening half, Codina made up for her own goal by adding Spain's fourth after a scramble inside the box.
They added another after half-time through Jennifer Hermoso's clinical finish - her third goal of this tournament.
Read the full report here
'Going forwards they pose a threat'
Switzerland 1-5 Spain
Steph Houghton
Manchester City defender on BBC One
For the last year or so, there has been a bit of a split in the Spain camp and a lot of players are missing from this squad - good players who play for Barcelona, high-quality players who play in the Champions League.
The best player in the world - Alexia Putellas - is on the bench.
Did they get tested by Switzerland today? Probably not. It will be interesting defensively when they play Netherlands or South Africa - but certainly going forwards they pose a threat.
'The Spain that we know'
Switzerland 1-5 Spain
Laura Georges
Former France international on BBC One
It was the Spain that we know - that like to keep the ball, move around, work together as a team.
The difference between this Spain against Switzerland and the Spain we saw against Japan was that they were really precise with the ball, really accurate and really clinical in front of goal.
That made the difference.
Bonmati brilliance
Switzerland 1-5 Spain
Two assists and two goals for Aitana Bonmatí, who was outstanding in that game.
This was a brilliant bit of skill and finish for Spain's third.
Post update
Switzerland 1-5 Spain
Fern Whelan
Former England and Brighton defender on BBC One
It was a bit disappointing from the Swiss but credit to Spain, it was a fantastic performance from them.
'Spain showed their class'
Switzerland 1-5 Spain
Steph Houghton
Manchester City defender on BBC One
I think it was the reaction we expected from Spain - but we wanted more from Switzerland in attack.
Spain were clinical today - they really showed their class, technique and movement. Every goal was unbelievable in terms of build-up, technique and finishes.
Post update
Switzerland 1-5 Spain
Some of Switzerland's players are in tears as their World Cup comes to an end but they can be proud of their run to the knockouts.
A shame for goalkeeper Gaëlle Thalmann. She's made some good saves in this tournament and, at 37, this could be the last time we see her on the world stage.
Post update
Switzerland 1-5 Spain
It will be a first quarter-final appearance for Spain, who will next meet either Netherlands or South Africa.
Neither side will relish facing Spain on that showing.
FULL-TIME
Switzerland 1-5 Spain
All over!
A statement win for Spain as they march into the quarter-finals.
Post update
Switzerland 1-5 Spain
A chance for a second for Switzerland as Fabienne Humm tries to catch Cata Coll off her line but she sends her shot wide.
Post update
Switzerland 1-5 Spain
Just the four minutes of time added on at the end of the 90.
Post update
Switzerland 1-5 Spain
Gilly Flaherty
Former England defender on BBC One
Switzerland have shown more fight in this last 10-15 minutes when they are 5-1 down, than they have done the whole game.
You question why was that fight not there from minute one?
Post update
Switzerland 1-5 Spain
Into the final minute of a game that was in truth over a long, long time ago.
The winner of the tie between South Africa and the Netherlands await Spain in the quarter-finals.
'A long time coming'
Switzerland 1-5 Spain
Sanny Rudravajhala
Reporting for 5 Live Sport
It’s quite incredible to think Spain have never won a tournament knock-out game before. They came mighty close against England at the Euros and since then have had the controversy around ‘las quince’ - the 15 players who demanded an end to the Jorge Vilda regime.
The Spain head coach remained in post, froze out the majority of those players and, in winning this tie, they’ll be on the road to replicating the success he’s had with the junior sides. He won eight medals in five years across U17 and U19 sides, so this has been a long time coming given this is his eighth year with the senior women’s side.
Watch: Hermoso gets Spain's fifth
Switzerland 1-5 Spain
Post update
Switzerland 1-5 Spain
Alexia Putellas is almost put in on goal as Athenea del Castillo does well on the flank, cutting inside before slipping the ball between defenders but Putellas just can't quite reach the pass.
Post update
Switzerland 1-5 Spain
Another change for Spain as Salma Paralluelo is replaced by Athenea del Castillo.
Switzerland also make a change as Lara Marti comes on for Nadine Riesen.
Five minutes to go.
Post update
Switzerland 1-5 Spain
Twenty four shots on goal for Spain, in contrast to just the one for Switzerland.
I suspect that number for Spain will be closer to 30 by full time.
New Zealand record crowd
Switzerland 1-5 Spain
Neil Johnston
BBC Sport at Eden Park
Oh wow. History is being made at Eden Park. There are 43,217 here for this match - a New Zealand record crowd for a football match. The crowd roar its approval as it is announced over the speakers.