Average Error: 0.0 → 0.0
Time: 749.0ms
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 r92625 = a;
        double r92626 = r92625 * r92625;
        double r92627 = b;
        double r92628 = r92627 * r92627;
        double r92629 = r92626 - r92628;
        return r92629;
}
↓
double f(double a, double b) {
        double r92630 = a;
        double r92631 = b;
        double r92632 = r92630 + r92631;
        double r92633 = r92630 - r92631;
        double r92634 = r92632 * r92633;
        return r92634;
}

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 2020057 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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