Average Error: 0.0 → 0.0
Time: 13.0s
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 r72329 = a;
        double r72330 = r72329 * r72329;
        double r72331 = b;
        double r72332 = r72331 * r72331;
        double r72333 = r72330 - r72332;
        return r72333;
}
↓
double f(double a, double b) {
        double r72334 = a;
        double r72335 = b;
        double r72336 = r72334 - r72335;
        double r72337 = r72334 + r72335;
        double r72338 = r72336 * r72337;
        return r72338;
}

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 2019326 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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