Average Error: 0.0 → 0.0
Time: 7.5s
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 r70004 = a;
        double r70005 = r70004 * r70004;
        double r70006 = b;
        double r70007 = r70006 * r70006;
        double r70008 = r70005 - r70007;
        return r70008;
}
↓
double f(double a, double b) {
        double r70009 = a;
        double r70010 = b;
        double r70011 = r70009 - r70010;
        double r70012 = r70009 + r70010;
        double r70013 = r70011 * r70012;
        return r70013;
}

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 2020043 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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