head to head
Neither is simply harder - they are hard in different places. Bridge Project demands more variance; Portal demands more execution.

Optimization · Pure Optimization
A bridge-building physics puzzle testing structural engineering under constraints.

Optimization · Pure Optimization
The portal-gun puzzle game whose solutions are everything.
Bridge Project leans Optimization (Pure Optimization); Portal leans Optimization (Pure Optimization).
Portal leans clearly harder on execution.
Bridge Project
Placing parts is point-and-click, no timing
Portal
Portal placement timing modest.
Same score on reads - which means the number cannot separate them. The difference is in what each one asks of you.
Bridge Project
No opponent in a physics building puzzle
Portal
No adversary modeling player.
Bridge Project leans clearly harder on variance.
Bridge Project
Physics deterministic; stress tests are predictable
Portal
Deterministic chambers; no randomness.
Bridge Project leans a little harder on optimization, though the gap is small.
Bridge Project
Designing stable bridges within budget is the entire game
Portal
Pure puzzle-solving optimization.
A matching score does not mean a matching test. Two games can both sit at 10 on execution and demand completely different things of you - which is why the reasoning above matters more than the number beside it.