(- m (/ (* sa ma) m))

Average Error: 4.9 → 4.9

Time: 827.0ms

Precision: binary64

Math

\[m - \frac{sa \cdot ma}{m}\]

↓

\[m - \frac{sa \cdot ma}{m}\]

C

double code(double m, double sa, double ma) {
	return ((double) (m - ((double) (((double) (sa * ma)) / m))));
}

↓

double code(double m, double sa, double ma) {
	return ((double) (m - ((double) (((double) (sa * ma)) / m))));
}

Error

Bits error versus m

Bits error versus sa

Bits error versus ma

Derivation

1. Initial program 4.9

   \[m - \frac{sa \cdot ma}{m}\]

2. Final simplification 4.9

   \[\leadsto m - \frac{sa \cdot ma}{m}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (m sa ma)
  :name "(- m (/ (* sa ma) m))"
  :precision binary64
  (- m (/ (* sa ma) m)))