Average Error: 0.2 → 0.2
Time: 935.0ms
Precision: binary64
\[\sqrt{x + 1} - \sqrt{x} \cdot 4\]
↓
\[\sqrt{x + 1} - \sqrt{x} \cdot 4\]
\sqrt{x + 1} - \sqrt{x} \cdot 4
↓
\sqrt{x + 1} - \sqrt{x} \cdot 4
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) (((double) sqrt(x)) * 4.0))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) (((double) sqrt(x)) * 4.0))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.2

    \[\sqrt{x + 1} - \sqrt{x} \cdot 4\]

  2. Final simplification0.2

    \[\leadsto \sqrt{x + 1} - \sqrt{x} \cdot 4\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (+ x 1)) (* (sqrt x) 4))"
  :precision binary64
  (- (sqrt (+ x 1.0)) (* (sqrt x) 4.0)))