Average Error: 30.0 → 30.0
Time: 2.6s
Precision: binary64
\[\frac{\log \left(x + 1\right)}{x \cdot x + \sqrt{x}}\]
↓
\[\frac{\log \left(x + 1\right)}{x \cdot x + \sqrt{x}}\]
\frac{\log \left(x + 1\right)}{x \cdot x + \sqrt{x}}
↓
\frac{\log \left(x + 1\right)}{x \cdot x + \sqrt{x}}
double code(double x) {
	return ((double) (((double) log(((double) (x + 1.0)))) / ((double) (((double) (x * x)) + ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) (((double) log(((double) (x + 1.0)))) / ((double) (((double) (x * x)) + ((double) sqrt(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.0

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

  2. Final simplification30.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (log (+ x 1)) (+ (* x x) (sqrt x)))"
  :precision binary64
  (/ (log (+ x 1.0)) (+ (* x x) (sqrt x))))