Average Error: 0.0 → 0.0
Time: 25.2s
Precision: 64
Internal Precision: 320
\[\frac{\sqrt{x + 1} + \sqrt{x}}{2} + \frac{1}{2 \cdot \left(\sqrt{x + 1} + \sqrt{x}\right)}\]
\[\frac{\sqrt{x + 1} + \sqrt{x}}{2} + \frac{1}{2 \cdot \left(\sqrt{x + 1} + \sqrt{x}\right)}\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\sqrt{x + 1} + \sqrt{x}}{2} + \frac{1}{2 \cdot \left(\sqrt{x + 1} + \sqrt{x}\right)}\]

Runtime

Time bar (total: 25.2s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "(sqrt(x+1)+sqrt(x))/2+1/(2*(sqrt(x+1)+sqrt(x)))"
  (+ (/ (+ (sqrt (+ x 1)) (sqrt x)) 2) (/ 1 (* 2 (+ (sqrt (+ x 1)) (sqrt x))))))