Average Error: 30.7 → 0
Time: 489.0ms
Precision: binary64
\[\sqrt{a \cdot a}\]
↓
\[\left|a\right|\]
\sqrt{a \cdot a}
↓
\left|a\right|
double code(double a) {
	return ((double) sqrt(((double) (a * a))));
}
↓
double code(double a) {
	return ((double) fabs(a));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.7

    \[\sqrt{a \cdot a}\]

  2. Simplified0

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

  3. Final simplification0

    \[\leadsto \left|a\right|\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(sqrt (* a a))"
  :precision binary64
  (sqrt (* a a)))