Average Error: 30.1 → 30.1
Time: 1.5s
Precision: binary64
\[\sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}\]
↓
\[\sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}\]
\sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}
↓
\sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) (2.0 * x)))))) - ((double) sqrt(((double) (2.0 * x))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) (2.0 * x)))))) - ((double) sqrt(((double) (2.0 * x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.1

    \[\sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}\]

  2. Final simplification30.1

    \[\leadsto \sqrt{1 + 2 \cdot x} - \sqrt{2 \cdot x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (+ 1 (* 2 x))) (sqrt (* 2 x)))"
  :precision binary64
  (- (sqrt (+ 1.0 (* 2.0 x))) (sqrt (* 2.0 x))))