Average Error: 0 → 0
Time: 661.0ms
Precision: binary64
\[\sqrt{x} + \sqrt{x}\]
↓
\[2 \cdot \sqrt{x}\]
\sqrt{x} + \sqrt{x}
↓
2 \cdot \sqrt{x}
double code(double x) {
	return ((double) (((double) sqrt(x)) + ((double) sqrt(x))));
}
↓
double code(double x) {
	return ((double) (2.0 * ((double) sqrt(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\sqrt{x} + \sqrt{x}\]

  2. Simplified0

    \[\leadsto \color{blue}{2 \cdot \sqrt{x}}\]

  3. Final simplification0

    \[\leadsto 2 \cdot \sqrt{x}\]

Reproduce

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