Average Error: 0.0 → 0.0
Time: 737.0ms
Precision: binary64
\[\sqrt{x + 1} - sqrtx\]
↓
\[\sqrt{x + 1} - sqrtx\]
\sqrt{x + 1} - sqrtx
↓
\sqrt{x + 1} - sqrtx
double code(double x, double sqrtx) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - sqrtx));
}
↓
double code(double x, double sqrtx) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - sqrtx));
}

Error

Bits error versus x

Bits error versus sqrtx

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + 1} - sqrtx\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x + 1} - sqrtx\]

Reproduce

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