(- (* 2 x) (* 3 y))

Average Error: 0.1 → 0.1

Time: 607.0ms

Precision: binary64

Math

\[2 \cdot x - 3 \cdot y\]

↓

\[2 \cdot x - 3 \cdot y\]

C

double code(double x, double y) {
	return ((double) (((double) (2.0 * x)) - ((double) (3.0 * y))));
}

↓

double code(double x, double y) {
	return ((double) (((double) (2.0 * x)) - ((double) (3.0 * y))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[2 \cdot x - 3 \cdot y\]

2. Final simplification 0.1

   \[\leadsto 2 \cdot x - 3 \cdot y\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- (* 2 x) (* 3 y))"
  :precision binary64
  (- (* 2.0 x) (* 3.0 y)))