Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(a - b\right) \cdot \left(a + b\right)\]
a \cdot a - b \cdot b
↓
\left(a - b\right) \cdot \left(a + b\right)
double f(double a, double b) {
        double r60732 = a;
        double r60733 = r60732 * r60732;
        double r60734 = b;
        double r60735 = r60734 * r60734;
        double r60736 = r60733 - r60735;
        return r60736;
}
↓
double f(double a, double b) {
        double r60737 = a;
        double r60738 = b;
        double r60739 = r60737 - r60738;
        double r60740 = r60737 + r60738;
        double r60741 = r60739 * r60740;
        return r60741;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(a + b\right) \cdot \left(a - b\right)\]

Derivation

  1. Initial program 0.0

    \[a \cdot a - b \cdot b\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(a - b\right) \cdot \left(a + b\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(a - b\right) \cdot \left(a + b\right)\]

Reproduce

herbie shell --seed 2020045 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

  :herbie-target
  (* (+ a b) (- a b))

  (- (* a a) (* b b)))