Average Error: 0.0 → 0.0
Time: 14.2s
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 r109994 = a;
        double r109995 = r109994 * r109994;
        double r109996 = b;
        double r109997 = r109996 * r109996;
        double r109998 = r109995 - r109997;
        return r109998;
}
↓
double f(double a, double b) {
        double r109999 = a;
        double r110000 = b;
        double r110001 = r109999 - r110000;
        double r110002 = r109999 + r110000;
        double r110003 = r110001 * r110002;
        return r110003;
}

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)))