Average Error: 10.7 → 10.7
Time: 2.5s
Precision: binary64
\[\frac{1 + \sqrt{x - 1}}{{\left(x - 1\right)}^{2}}\]
↓
\[\frac{1 + \sqrt{x - 1}}{{\left(x - 1\right)}^{2}}\]
\frac{1 + \sqrt{x - 1}}{{\left(x - 1\right)}^{2}}
↓
\frac{1 + \sqrt{x - 1}}{{\left(x - 1\right)}^{2}}
double code(double x) {
	return ((double) (((double) (1.0 + ((double) sqrt(((double) (x - 1.0)))))) / ((double) pow(((double) (x - 1.0)), 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 + ((double) sqrt(((double) (x - 1.0)))))) / ((double) pow(((double) (x - 1.0)), 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 10.7

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

  2. Final simplification10.7

    \[\leadsto \frac{1 + \sqrt{x - 1}}{{\left(x - 1\right)}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (+ 1 (sqrt (- x 1))) (pow (- x 1) 2))"
  :precision binary64
  (/ (+ 1.0 (sqrt (- x 1.0))) (pow (- x 1.0) 2.0)))