Average Error: 0.0 → 0.0
Time: 1.4s
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 r72168 = a;
        double r72169 = r72168 * r72168;
        double r72170 = b;
        double r72171 = r72170 * r72170;
        double r72172 = r72169 - r72171;
        return r72172;
}
↓
double f(double a, double b) {
        double r72173 = a;
        double r72174 = b;
        double r72175 = r72173 - r72174;
        double r72176 = r72173 + r72174;
        double r72177 = r72175 * r72176;
        return r72177;
}

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 2020045 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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