Average Error: 0.2 → 0
Time: 5.6s
Precision: 64
Internal Precision: 576
\[{\left(\left(x \cdot x\right) \cdot x\right)}^{2}\]
\[{x}^{6}\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[{\left(\left(x \cdot x\right) \cdot x\right)}^{2}\]
  2. Taylor expanded around 0 0

    \[\leadsto \color{blue}{{x}^{6}}\]
  3. Final simplification0

    \[\leadsto {x}^{6}\]

Runtime

Time bar (total: 5.6s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "(x*x*x)^2"
  (pow (* (* x x) x) 2))