(- 5 (sqrt (+ 25 (* x x))))

Average Error: 31.3 → 31.3

Time: 927.0ms

Precision: binary64

Math

\[5 - \sqrt{25 + x \cdot x}\]

↓

\[5 - \sqrt{25 + x \cdot x}\]

C

double code(double x) {
	return ((double) (5.0 - ((double) sqrt(((double) (25.0 + ((double) (x * x))))))));
}

↓

double code(double x) {
	return ((double) (5.0 - ((double) sqrt(((double) (25.0 + ((double) (x * x))))))));
}

Error

Bits error versus x

Derivation

1. Initial program 31.3

   \[5 - \sqrt{25 + x \cdot x}\]

2. Final simplification 31.3

   \[\leadsto 5 - \sqrt{25 + x \cdot x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- 5 (sqrt (+ 25 (* x x))))"
  :precision binary64
  (- 5.0 (sqrt (+ 25.0 (* x x)))))