Average Error: 8.4 → 8.4
Time: 962.0ms
Precision: binary64
\[\frac{a - \frac{b \cdot b}{n}}{n - 1}\]
↓
\[\frac{a - \frac{b \cdot b}{n}}{n - 1}\]
\frac{a - \frac{b \cdot b}{n}}{n - 1}
↓
\frac{a - \frac{b \cdot b}{n}}{n - 1}
double code(double a, double b, double n) {
	return ((double) (((double) (a - ((double) (((double) (b * b)) / n)))) / ((double) (n - 1.0))));
}
↓
double code(double a, double b, double n) {
	return ((double) (((double) (a - ((double) (((double) (b * b)) / n)))) / ((double) (n - 1.0))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 8.4

    \[\frac{a - \frac{b \cdot b}{n}}{n - 1}\]

  2. Final simplification8.4

    \[\leadsto \frac{a - \frac{b \cdot b}{n}}{n - 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b n)
  :name "(/ (- a (/ (* b b) n)) (- n 1))"
  :precision binary64
  (/ (- a (/ (* b b) n)) (- n 1.0)))