Average Error: 30.0 → 30.0
Time: 1.2s
Precision: binary64
\[\sqrt{1 + q} - \sqrt{q}\]
↓
\[\sqrt{1 + q} - \sqrt{q}\]
\sqrt{1 + q} - \sqrt{q}
↓
\sqrt{1 + q} - \sqrt{q}
double code(double q) {
	return ((double) (((double) sqrt(((double) (1.0 + q)))) - ((double) sqrt(q))));
}
↓
double code(double q) {
	return ((double) (((double) sqrt(((double) (1.0 + q)))) - ((double) sqrt(q))));
}

Error

Bits error versus q

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.0

    \[\sqrt{1 + q} - \sqrt{q}\]

  2. Final simplification30.0

    \[\leadsto \sqrt{1 + q} - \sqrt{q}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (q)
  :name "(- (sqrt (+ 1 q)) (sqrt q))"
  :precision binary64
  (- (sqrt (+ 1.0 q)) (sqrt q)))