Average Error: 0.0 → 0.0
Time: 1.5s
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 r82307 = a;
        double r82308 = r82307 * r82307;
        double r82309 = b;
        double r82310 = r82309 * r82309;
        double r82311 = r82308 - r82310;
        return r82311;
}
↓
double f(double a, double b) {
        double r82312 = a;
        double r82313 = b;
        double r82314 = r82312 - r82313;
        double r82315 = r82312 + r82313;
        double r82316 = r82314 * r82315;
        return r82316;
}

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 2020047 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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