Average Error: 0.0 → 0.0
Time: 13.6s
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 r45265 = a;
        double r45266 = r45265 * r45265;
        double r45267 = b;
        double r45268 = r45267 * r45267;
        double r45269 = r45266 - r45268;
        return r45269;
}
↓
double f(double a, double b) {
        double r45270 = a;
        double r45271 = b;
        double r45272 = r45270 - r45271;
        double r45273 = r45270 + r45271;
        double r45274 = r45272 * r45273;
        return r45274;
}

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 2019303 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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