Just to clarify (apologies) cycling for leisure is prohibited.
I'm sure it is allowed if that is how you get to work/shops.
It was initially allowed for exercise - in moderation and staying close to home, but clearly people started taking the piss. A lot of people round here take their cycling very seriously.
The same with walking dogs or going for a run. It was initially OK to carry on as normal, but exercise is now restricted to within 2kms of your home (your form must include your home address) and you can take the dog out to pee/poo but you can't go far from your house.
We are in the middle of nowhere, so it would be easy for us to do the whole "....but we never see a single human being for miles and there is almost no traffic (apart from the odd tractor)..." but there is no way that there can be different rules for everyone, so everyone ends up with the most draconian rules to allow for the "surely they don't apply to me" brigade.
You are, of course, allowed to travel if you have elderly/disabled relatives to care/shop for, but this needs to be rigourously documented. You can't just make stuff up - your reason for being out has to be clearly stated on the form you carry.
We are very rural so it might be more helpful to look on the existing threads for a balanced view from others living less remotely.
www.mumsnet.com/Talk/coronavirus/3850860-Lockdown-conditions-in-France
www.mumsnet.com/Talk/coronavirus/3851311-In-France-under-lockdown-AMA
There is at least one Spanish thread too.