Average Error: 0.0 → 0.0
Time: 20.2s
Precision: 64
Internal Precision: 576
\[\sqrt{x + \frac{1}{x}} + \sqrt{x - \frac{1}{x}}\]
\[\sqrt{x + \frac{1}{x}} + \sqrt{x - \frac{1}{x}}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + \frac{1}{x}} + \sqrt{x - \frac{1}{x}}\]
  2. Final simplification0.0

    \[\leadsto \sqrt{x + \frac{1}{x}} + \sqrt{x - \frac{1}{x}}\]

Runtime

Time bar (total: 20.2s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "sqrt(x+1/x)+sqrt(x-1/x)"
  (+ (sqrt (+ x (/ 1 x))) (sqrt (- x (/ 1 x)))))