Average Error: 0.0 → 0.0
Time: 2.8s
Precision: 64
Internal Precision: 1856
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]
↓
\[\left(z + \left(y + x\right)\right) - \left(\left(y + z\right) + x\right)\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Runtime

Time bar (total: 2.8s)Debug logProfile

herbie shell --seed 2018219 
(FPCore (x y z)
  :name "Commute and associate"
  (- (+ (+ x y) z) (+ x (+ y z))))