Average Error: 7.7 → 7.7
Time: 1.3s
Precision: binary64
\[\frac{x \cdot x}{n} - y \cdot y\]
↓
\[\frac{x \cdot x}{n} - y \cdot y\]
\frac{x \cdot x}{n} - y \cdot y
↓
\frac{x \cdot x}{n} - y \cdot y
double code(double x, double n, double y) {
	return ((double) (((double) (((double) (x * x)) / n)) - ((double) (y * y))));
}
↓
double code(double x, double n, double y) {
	return ((double) (((double) (((double) (x * x)) / n)) - ((double) (y * y))));
}

Error

Bits error versus x

Bits error versus n

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.7

    \[\frac{x \cdot x}{n} - y \cdot y\]

  2. Final simplification7.7

    \[\leadsto \frac{x \cdot x}{n} - y \cdot y\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x n y)
  :name "(- (/ (* x x) n) (* y y))"
  :precision binary64
  (- (/ (* x x) n) (* y y)))