Average Error: 0.0 → 0.0
Time: 13.9s
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 r5369638 = a;
        double r5369639 = r5369638 * r5369638;
        double r5369640 = b;
        double r5369641 = r5369640 * r5369640;
        double r5369642 = r5369639 - r5369641;
        return r5369642;
}
↓
double f(double a, double b) {
        double r5369643 = a;
        double r5369644 = b;
        double r5369645 = r5369643 + r5369644;
        double r5369646 = r5369643 - r5369644;
        double r5369647 = r5369645 * r5369646;
        return r5369647;
}

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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (a b)
  :name "Difference of squares"

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

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