Average Error: 0.0 → 0.0
Time: 5.0s
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 r6116636 = a;
        double r6116637 = r6116636 * r6116636;
        double r6116638 = b;
        double r6116639 = r6116638 * r6116638;
        double r6116640 = r6116637 - r6116639;
        return r6116640;
}
↓
double f(double a, double b) {
        double r6116641 = b;
        double r6116642 = a;
        double r6116643 = r6116641 + r6116642;
        double r6116644 = r6116642 - r6116641;
        double r6116645 = r6116643 * r6116644;
        return r6116645;
}

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. Using strategy rm

  3. Applied difference-of-squares0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019192 
(FPCore (a b)
  :name "Difference of squares"

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

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