a ← 61.00000000000001‿61 ⋄ [⍋a, ⍋a×1.1]  # BQN
┌─     
╵ 1 0  
  0 1  
      ┘

   (2⋆53) = 1+2⋆53
1

   (+´ ⋈ ·+´⌽) 1.2‿1‿1.4
⟨ 3.5999999999999996 3.6 ⟩

   /: 61.00000000000001 61  NB. J
1 0
   /: 1.1 * 61.00000000000001 61
0 1

   (2^45) = 1+2^45  NB. tolerant comparison
1
   (2^53) (=!.0) 1+2^53
1
   (2^1023fq) (=!.0) 1+2^1023fq
0

   NB. floating16 gets weird here:
   2^1023fq 1024fq 1025fq
8.98847e307 _. _
   128!:5] 2^1023fq 1024fq 1025fq
0 0 0

   1 + _
_
   1 + 2^1025fq
|NaN error, executing dyad +
|x and y are infinities of opposite sign
|   1    +2^1025j0