Average Error: 0.0 → 0.0
Time: 504.0ms
Precision: binary64
\[\frac{2 \cdot a - 1}{a}\]
↓
\[2 - \frac{1}{a}\]
\frac{2 \cdot a - 1}{a}
↓
2 - \frac{1}{a}
double code(double a) {
	return ((double) (((double) (((double) (2.0 * a)) - 1.0)) / a));
}
↓
double code(double a) {
	return ((double) (2.0 - ((double) (1.0 / a))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{2 \cdot a - 1}{a}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{2 - \frac{1}{a}}\]

  3. Final simplification0.0

    \[\leadsto 2 - \frac{1}{a}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(/ (- (* 2 a) 1) a)"
  :precision binary64
  (/ (- (* 2.0 a) 1.0) a))