Average Error: 0.1 → 0.1
Time: 604.0ms
Precision: binary64
\[a \cdot 2 - b \cdot 3\]
↓
\[a \cdot 2 - b \cdot 3\]
a \cdot 2 - b \cdot 3
↓
a \cdot 2 - b \cdot 3
double code(double a, double b) {
	return ((double) (((double) (a * 2.0)) - ((double) (b * 3.0))));
}
↓
double code(double a, double b) {
	return ((double) (((double) (a * 2.0)) - ((double) (b * 3.0))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[a \cdot 2 - b \cdot 3\]

  2. Final simplification0.1

    \[\leadsto a \cdot 2 - b \cdot 3\]

Reproduce

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