Average Error: 0.8 → 0
Time: 457.0ms
Precision: binary64
\[a \cdot 2 - a \cdot 3\]
↓
\[a \cdot \left(2 - 3\right)\]
a \cdot 2 - a \cdot 3
↓
a \cdot \left(2 - 3\right)
double code(double a) {
	return ((double) (((double) (a * 2.0)) - ((double) (a * 3.0))));
}
↓
double code(double a) {
	return ((double) (a * ((double) (2.0 - 3.0))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.8

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

  2. Simplified0

    \[\leadsto \color{blue}{a \cdot \left(2 - 3\right)}\]

  3. Final simplification0

    \[\leadsto a \cdot \left(2 - 3\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(- (* a 2) (* a 3))"
  :precision binary64
  (- (* a 2.0) (* a 3.0)))