Average Error: 0.1 → 0.1
Time: 1.0s
Precision: binary64
\[\frac{2}{x \cdot \sqrt{x}} - 1\]
↓
\[\frac{2}{x \cdot \sqrt{x}} - 1\]
\frac{2}{x \cdot \sqrt{x}} - 1
↓
\frac{2}{x \cdot \sqrt{x}} - 1
double code(double x) {
	return ((double) (((double) (2.0 / ((double) (x * ((double) sqrt(x)))))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) (2.0 / ((double) (x * ((double) sqrt(x)))))) - 1.0));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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