Average Error: 31.7 → 0
Time: 659.0ms
Precision: binary64
\[\sqrt{\left(x1 - x2\right) \cdot \left(x1 - x2\right)}\]
↓
\[\left|x1 - x2\right|\]
\sqrt{\left(x1 - x2\right) \cdot \left(x1 - x2\right)}
↓
\left|x1 - x2\right|
double code(double x1, double x2) {
	return ((double) sqrt(((double) (((double) (x1 - x2)) * ((double) (x1 - x2))))));
}
↓
double code(double x1, double x2) {
	return ((double) fabs(((double) (x1 - x2))));
}

Error

Bits error versus x1

Bits error versus x2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.7

    \[\sqrt{\left(x1 - x2\right) \cdot \left(x1 - x2\right)}\]

  2. Simplified0

    \[\leadsto \color{blue}{\left|x1 - x2\right|}\]

  3. Final simplification0

    \[\leadsto \left|x1 - x2\right|\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x1 x2)
  :name "(sqrt (* (- x1 x2) (- x1 x2)))"
  :precision binary64
  (sqrt (* (- x1 x2) (- x1 x2))))