Average Error: 30.2 → 30.2
Time: 1.2s
Precision: binary64
\[\sqrt{x + 0.0200000000000000004} - \sqrt{x}\]
↓
\[\sqrt{x + 0.0200000000000000004} - \sqrt{x}\]
\sqrt{x + 0.0200000000000000004} - \sqrt{x}
↓
\sqrt{x + 0.0200000000000000004} - \sqrt{x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 0.02)))) - ((double) sqrt(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 0.02)))) - ((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 30.2

    \[\sqrt{x + 0.0200000000000000004} - \sqrt{x}\]

  2. Final simplification30.2

    \[\leadsto \sqrt{x + 0.0200000000000000004} - \sqrt{x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (+ x 0.02)) (sqrt x))"
  :precision binary64
  (- (sqrt (+ x 0.02)) (sqrt x)))