slightly + comparative adjective

Point 57 in the category of  adjectives in the English Grammar Profile is defined by the adverb:

‘SLIGHTLY’ to modify comparative adjectives to a small degree.

A search in the iWeb corpus:

1 SLIGHTLY HIGHER 29559

1 THAN (CSN ) 9879
2 PRICE (NN1 ) 1458

3 RATE (NN1 ) 1425
4 RATES (NN2 ) 702
5 RISK (NN1 ) 682
6 PRICES (NN2 ) 617
7 COST (NN1 ) 511
8 LEVELS (NN2 ) 409
9 INTEREST (NN1 ) 403
10 TEMPERATURE (NN1 ) 338

2 SLIGHTLY LARGER 22466

1 THAN (CSN ) 9478
2 SIZE (NN1 ) 1150
3 DIAMETER (NN1 ) 712
4 HOLE (NN1 ) 367
5 MALES (NN2 ) 359

3 SLIGHTLY SMALLER 15931

He can produce slightly smaller versions of himself. Each version can do only two things: radio information back to its parent, and produce slightly smaller versions of itself.