Average Error: 0.0 → 0.0
Time: 734.0ms
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 r88247 = a;
        double r88248 = r88247 * r88247;
        double r88249 = b;
        double r88250 = r88249 * r88249;
        double r88251 = r88248 - r88250;
        return r88251;
}
↓
double f(double a, double b) {
        double r88252 = a;
        double r88253 = b;
        double r88254 = r88252 + r88253;
        double r88255 = r88252 - r88253;
        double r88256 = r88254 * r88255;
        return r88256;
}

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 2020056 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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