Average Error: 29.1 → 29.1
Time: 3.4s
Precision: 64
Internal Precision: 1408
\[\sqrt{x + 1} - \sqrt{x}\]
↓
\[\sqrt{x + 1} - \sqrt{x}\]

Error

Bits error versus x

Target

Original29.1
Target0.2
Herbie29.1
\[\frac{1}{\sqrt{x + 1} + \sqrt{x}}\]

Derivation

  1. Initial program 29.1

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

Runtime

Time bar (total: 3.4s)Debug logProfile

herbie shell --seed '#(1070991898 1055468627 4280279443 640792587 928206309 3646738750)' 
(FPCore (x)
  :name "2sqrt (example 3.1)"

  :herbie-target
  (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))

  (- (sqrt (+ x 1)) (sqrt x)))