(+ x (sqrt (- y x)))

Average Error: 0.0 → 0.0

Time: 1000.0ms

Precision: binary64

Math

\[x + \sqrt{y - x}\]

↓

\[x + \sqrt{y - x}\]

C

double code(double x, double y) {
	return ((double) (x + ((double) sqrt(((double) (y - x))))));
}

↓

double code(double x, double y) {
	return ((double) (x + ((double) sqrt(((double) (y - x))))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[x + \sqrt{y - x}\]

2. Final simplification 0.0

   \[\leadsto x + \sqrt{y - x}\]

Reproduce

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