Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{\frac{\left(a - b\right) + 1}{a + b}}\]
↓
\[\sqrt{\frac{\left(a - b\right) + 1}{a + b}}\]
\sqrt{\frac{\left(a - b\right) + 1}{a + b}}
↓
\sqrt{\frac{\left(a - b\right) + 1}{a + b}}
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) (((double) (a - b)) + 1.0)) / ((double) (a + b))))));
}
↓
double code(double a, double b) {
	return ((double) sqrt(((double) (((double) (((double) (a - b)) + 1.0)) / ((double) (a + b))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\frac{\left(a - b\right) + 1}{a + b}}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\frac{\left(a - b\right) + 1}{a + b}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(sqrt (/ (+ (- a b) 1) (+ a b)))"
  :precision binary64
  (sqrt (/ (+ (- a b) 1.0) (+ a b))))