Average Error: 23.5 → 23.5
Time: 751.0ms
Precision: binary64
\[\sqrt{x \cdot x + 1} - x\]
↓
\[\sqrt{x \cdot x + 1} - x\]
\sqrt{x \cdot x + 1} - x
↓
\sqrt{x \cdot x + 1} - x
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (x * x)) + 1.0)))) - x));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (x * x)) + 1.0)))) - x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.5

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

  2. Final simplification23.5

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (+ (* x x) 1)) x)"
  :precision binary64
  (- (sqrt (+ (* x x) 1.0)) x))