(- (* x2 y3) (* y2 x3))

Average Error: 0.0 → 0.0

Time: 1.0s

Precision: binary64

Math

\[x2 \cdot y3 - y2 \cdot x3\]

↓

\[x2 \cdot y3 - y2 \cdot x3\]

C

double code(double x2, double y3, double y2, double x3) {
	return ((double) (((double) (x2 * y3)) - ((double) (y2 * x3))));
}

↓

double code(double x2, double y3, double y2, double x3) {
	return ((double) (((double) (x2 * y3)) - ((double) (y2 * x3))));
}

Error

Bits error versus x2

Bits error versus y3

Bits error versus y2

Bits error versus x3

Derivation

1. Initial program 0.0

   \[x2 \cdot y3 - y2 \cdot x3\]

2. Final simplification 0.0

   \[\leadsto x2 \cdot y3 - y2 \cdot x3\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x2 y3 y2 x3)
  :name "(- (* x2 y3) (* y2 x3))"
  :precision binary64
  (- (* x2 y3) (* y2 x3)))