Average Error: 0.0 → 0.0
Time: 1.0s
Precision: binary64
\[a \cdot x - b \cdot y\]
↓
\[a \cdot x - b \cdot y\]
a \cdot x - b \cdot y
↓
a \cdot x - b \cdot y
double code(double a, double x, double b, double y) {
	return ((double) (((double) (a * x)) - ((double) (b * y))));
}
↓
double code(double a, double x, double b, double y) {
	return ((double) (((double) (a * x)) - ((double) (b * y))));
}

Error

Bits error versus a

Bits error versus x

Bits error versus b

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[a \cdot x - b \cdot y\]

  2. Final simplification0.0

    \[\leadsto a \cdot x - b \cdot y\]

Reproduce

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