Average Error: 31.4 → 31.4
Time: 1.0s
Precision: binary64
\[\frac{x}{\sqrt{\left(x - 1\right) \cdot \left(x + 1\right)}}\]
↓
\[\frac{x}{\sqrt{\left(x - 1\right) \cdot \left(x + 1\right)}}\]
\frac{x}{\sqrt{\left(x - 1\right) \cdot \left(x + 1\right)}}
↓
\frac{x}{\sqrt{\left(x - 1\right) \cdot \left(x + 1\right)}}
double code(double x) {
	return ((double) (x / ((double) sqrt(((double) (((double) (x - 1.0)) * ((double) (x + 1.0))))))));
}
↓
double code(double x) {
	return ((double) (x / ((double) sqrt(((double) (((double) (x - 1.0)) * ((double) (x + 1.0))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.4

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

  2. Final simplification31.4

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

Reproduce

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