Average Error: 59.7 → 0.3
Time: 16.9s
Precision: 64
Internal Precision: 1344
\[\sqrt{x - 2} - \sqrt{x}\]
\[\frac{-2}{\sqrt{x - 2} + \sqrt{x}}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.7

    \[\sqrt{x - 2} - \sqrt{x}\]
  2. Using strategy rm
  3. Applied flip--59.2

    \[\leadsto \color{blue}{\frac{\sqrt{x - 2} \cdot \sqrt{x - 2} - \sqrt{x} \cdot \sqrt{x}}{\sqrt{x - 2} + \sqrt{x}}}\]
  4. Applied simplify0.3

    \[\leadsto \frac{\color{blue}{-2}}{\sqrt{x - 2} + \sqrt{x}}\]

Runtime

Time bar (total: 16.9s)Debug log

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