Average Error: 0.0 → 0.0
Time: 4.3s
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 r99401 = a;
        double r99402 = r99401 * r99401;
        double r99403 = b;
        double r99404 = r99403 * r99403;
        double r99405 = r99402 - r99404;
        return r99405;
}
↓
double f(double a, double b) {
        double r99406 = a;
        double r99407 = b;
        double r99408 = r99406 - r99407;
        double r99409 = r99406 + r99407;
        double r99410 = r99408 * r99409;
        return r99410;
}

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 2020045 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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