Average Error: 0.0 → 0.0
Time: 6.3s
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 r6506758 = a;
        double r6506759 = r6506758 * r6506758;
        double r6506760 = b;
        double r6506761 = r6506760 * r6506760;
        double r6506762 = r6506759 - r6506761;
        return r6506762;
}
↓
double f(double a, double b) {
        double r6506763 = b;
        double r6506764 = a;
        double r6506765 = r6506763 + r6506764;
        double r6506766 = r6506764 - r6506763;
        double r6506767 = r6506765 * r6506766;
        return r6506767;
}

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 2019104 
(FPCore (a b)
  :name "Difference of squares"

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

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