Average Error: 15.6 → 15.6
Time: 877.0ms
Precision: binary64
\[\frac{x}{1 + \sqrt{1 + {x}^{2}}}\]
↓
\[\frac{x}{1 + \sqrt{1 + {x}^{2}}}\]
\frac{x}{1 + \sqrt{1 + {x}^{2}}}
↓
\frac{x}{1 + \sqrt{1 + {x}^{2}}}
double code(double x) {
	return ((double) (x / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) pow(x, 2.0))))))))));
}
↓
double code(double x) {
	return ((double) (x / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) pow(x, 2.0))))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.6

    \[\frac{x}{1 + \sqrt{1 + {x}^{2}}}\]

  2. Final simplification15.6

    \[\leadsto \frac{x}{1 + \sqrt{1 + {x}^{2}}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ x (+ 1 (sqrt (+ 1 (pow x 2)))))"
  :precision binary64
  (/ x (+ 1.0 (sqrt (+ 1.0 (pow x 2.0))))))