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

Error

Bits error versus hmm

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.0

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

  2. Final simplification30.0

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

Reproduce

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