Average Error: 0.0 → 0.0
Time: 7.9s
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 r79314 = a;
        double r79315 = r79314 * r79314;
        double r79316 = b;
        double r79317 = r79316 * r79316;
        double r79318 = r79315 - r79317;
        return r79318;
}
↓
double f(double a, double b) {
        double r79319 = a;
        double r79320 = b;
        double r79321 = r79319 - r79320;
        double r79322 = r79319 + r79320;
        double r79323 = r79321 * r79322;
        return r79323;
}

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 2019199 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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