Average Error: 11.7 → 11.7
Time: 1.6s
Precision: binary64
\[\left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}\]
↓
\[\left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}\]
\left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}
↓
\left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}
double code(double l_M2, double r_M2, double delta, double l_count, double r_count, double n_count) {
	return ((double) (((double) (l_M2 + r_M2)) + ((double) (((double) (((double) (((double) (delta * delta)) * l_count)) * r_count)) / n_count))));
}
↓
double code(double l_M2, double r_M2, double delta, double l_count, double r_count, double n_count) {
	return ((double) (((double) (l_M2 + r_M2)) + ((double) (((double) (((double) (((double) (delta * delta)) * l_count)) * r_count)) / n_count))));
}

Error

Bits error versus l_M2

Bits error versus r_M2

Bits error versus delta

Bits error versus l_count

Bits error versus r_count

Bits error versus n_count

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 11.7

    \[\left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}\]

  2. Final simplification11.7

    \[\leadsto \left(l_M2 + r_M2\right) + \frac{\left(\left(delta \cdot delta\right) \cdot l_count\right) \cdot r_count}{n_count}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (l_M2 r_M2 delta l_count r_count n_count)
  :name "(+ (+ l_M2 r_M2) (/ (* (* (* delta delta) l_count) r_count) n_count))"
  :precision binary64
  (+ (+ l_M2 r_M2) (/ (* (* (* delta delta) l_count) r_count) n_count)))