Average Error: 0.0 → 0.0
Time: 5.7s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(b + a\right) \cdot \left(a - b\right)\]
a \cdot a - b \cdot b
↓
\left(b + a\right) \cdot \left(a - b\right)
double f(double a, double b) {
        double r71168 = a;
        double r71169 = r71168 * r71168;
        double r71170 = b;
        double r71171 = r71170 * r71170;
        double r71172 = r71169 - r71171;
        return r71172;
}
↓
double f(double a, double b) {
        double r71173 = b;
        double r71174 = a;
        double r71175 = r71173 + r71174;
        double r71176 = r71174 - r71173;
        double r71177 = r71175 * r71176;
        return r71177;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 
(FPCore (a b)
  :name "Difference of squares"

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

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