(- (* x y) (* w z))

Average Error: 0.0 → 0.0

Time: 1.0s

Precision: binary64

Math

\[x \cdot y - w \cdot z\]

↓

\[x \cdot y - w \cdot z\]

C

double code(double x, double y, double w, double z) {
	return ((double) (((double) (x * y)) - ((double) (w * z))));
}

↓

double code(double x, double y, double w, double z) {
	return ((double) (((double) (x * y)) - ((double) (w * z))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus w

Bits error versus z

Derivation

1. Initial program 0.0

   \[x \cdot y - w \cdot z\]

2. Final simplification 0.0

   \[\leadsto x \cdot y - w \cdot z\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y w z)
  :name "(- (* x y) (* w z))"
  :precision binary64
  (- (* x y) (* w z)))