(- (* a1 b2) (* a2 b1))

Average Error: 0.0 → 0.0

Time: 1.0s

Precision: binary64

Math

\[a1 \cdot b2 - a2 \cdot b1\]

↓

\[a1 \cdot b2 - a2 \cdot b1\]

C

double code(double a1, double b2, double a2, double b1) {
	return ((double) (((double) (a1 * b2)) - ((double) (a2 * b1))));
}

↓

double code(double a1, double b2, double a2, double b1) {
	return ((double) (((double) (a1 * b2)) - ((double) (a2 * b1))));
}

Error

Bits error versus a1

Bits error versus b2

Bits error versus a2

Bits error versus b1

Derivation

1. Initial program 0.0

   \[a1 \cdot b2 - a2 \cdot b1\]

2. Final simplification 0.0

   \[\leadsto a1 \cdot b2 - a2 \cdot b1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a1 b2 a2 b1)
  :name "(- (* a1 b2) (* a2 b1))"
  :precision binary64
  (- (* a1 b2) (* a2 b1)))