Average Error: 0.0 → 0.0
Time: 14.0s
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 r63358 = a;
        double r63359 = r63358 * r63358;
        double r63360 = b;
        double r63361 = r63360 * r63360;
        double r63362 = r63359 - r63361;
        return r63362;
}
↓
double f(double a, double b) {
        double r63363 = a;
        double r63364 = b;
        double r63365 = r63363 - r63364;
        double r63366 = r63363 + r63364;
        double r63367 = r63365 * r63366;
        return r63367;
}

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 2019347 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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