Average Error: 0.0 → 0
Time: 10.8s
Precision: 64
Internal Precision: 1664
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]
↓
\[0\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Initial program 0.0

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

  2. Applied simplify0

    \[\leadsto \color{blue}{0}\]
  3. Removed slow pow expressions.

Runtime

Time bar (total: 10.8s)Debug logProfile

herbie shell --seed '#(1063760577 370469966 3494666894 3951773381 1386229053 3458497743)' 
(FPCore (x y z)
  :name "Commute and associate"
  (- (+ (+ x y) z) (+ x (+ y z))))