Average Error: 0 → 0
Time: 2.0s
Precision: 64
Internal Precision: 1664
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]
↓
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Initial program 0

    \[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]

Runtime

Time bar (total: 2.0s)Debug logProfile

herbie shell --seed '#(1064397287 3527694221 3797617954 1138343853 2854031332 1153838279)' +o rules:numerics
(FPCore (x y z)
  :name "Commute and associate"
  (- (+ (+ x y) z) (+ x (+ y z))))