Average Error: 0.1 → 0
Time: 8.1s
Precision: 64
Internal Precision: 576
\[\left(\left(\left(\left(x \cdot x\right) \cdot x\right) \cdot x\right) \cdot x\right) \cdot x\]
\[{x}^{6}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(\left(\left(x \cdot x\right) \cdot x\right) \cdot x\right) \cdot x\right) \cdot x\]
  2. Taylor expanded around inf 0

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

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

Runtime

Time bar (total: 8.1s)Debug log

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