Thanks for the tolerance hint. It helps a lot indeed:

   9!:18 ''
5.68434e_14
   9!:19 ]1e_11
   9!:18 ''
1e_11

   data=:(_100 100 runiform 1);((genUniformMatrix 50 50),:(genUniformMatrix
50 50))
   leftR=: 4 : '(0{x) * ( (0{y) + (1{y) )'
   rightR=: 4 : '( (0{x) * (0{y) ) + ( (0{x) * (1{y) )'
   relation=: leftR`rightR
   checkEqOfMatricesScalarsRel=: 4 : '( (>0{y) x@.0 (>1{y) ) -: ( (>0{y) x@.1
(>1{y) )'
   relation checkEqOfMatricesScalarsRel data
1

   run=: 3 : 0
shape=.1+?2#100
m=.(genUniformMatrix shape),:(genUniformMatrix shape)
s=. _100 100 runiform 1
data=.s;m
relation checkEqOfMatricesScalarsRel data
)
   (+/)(run"0)100#0
100
   (+/)(run"0)1000#0
993
   (+/)(run"0)100#0
100
   (+/)(run"0)100#0
100
   (+/)(run"0)100#0
100
   (+/)(run"0)100#0
99

I tried to tweak with equal tolerance but it seems that the limit is here
like with 9:18 (probably they are coupled).
Could you elaborate what is idea behind *x:*  ? I kinda missed the point
(please excuse me - I am just beginning my adventure with J)

Kindest regards,
Pawel Jakubas
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