Average Error: 0.0 → 0.0
Time: 6.2s
Precision: 64
Internal Precision: 576
\[\left(\left(\left(a + b\right) + c\right) + d\right) + e\]
\[\left(\left(a + d\right) + c\right) + \left(e + b\right)\]

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Bits error versus e

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\left(a + b\right) + c\right) + d\right) + e\]
  2. Initial simplification0.0

    \[\leadsto \left(c + \left(a + d\right)\right) + \left(e + b\right)\]
  3. Final simplification0.0

    \[\leadsto \left(\left(a + d\right) + c\right) + \left(e + b\right)\]

Runtime

Time bar (total: 6.2s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (a b c d e)
  :name "a + b + c + d + e"
  (+ (+ (+ (+ a b) c) d) e))