Average Error: 30.7 → 0
Time: 429.0ms
Precision: binary64
\[\sqrt{x \cdot x}\]
↓
\[\left|x\right|\]
\sqrt{x \cdot x}
↓
\left|x\right|
double code(double x) {
	return ((double) sqrt(((double) (x * x))));
}
↓
double code(double x) {
	return ((double) fabs(x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.7

    \[\sqrt{x \cdot x}\]

  2. Simplified0

    \[\leadsto \color{blue}{\left|x\right|}\]

  3. Final simplification0

    \[\leadsto \left|x\right|\]

Reproduce

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