Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(b + a\right) \cdot \left(a - b\right)\]
a \cdot a - b \cdot b
↓
\left(b + a\right) \cdot \left(a - b\right)
double f(double a, double b) {
        double r24065168 = a;
        double r24065169 = r24065168 * r24065168;
        double r24065170 = b;
        double r24065171 = r24065170 * r24065170;
        double r24065172 = r24065169 - r24065171;
        return r24065172;
}
↓
double f(double a, double b) {
        double r24065173 = b;
        double r24065174 = a;
        double r24065175 = r24065173 + r24065174;
        double r24065176 = r24065174 - r24065173;
        double r24065177 = r24065175 * r24065176;
        return r24065177;
}

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. Using strategy rm

  3. Applied difference-of-squares0.0

    \[\leadsto \color{blue}{\left(a + b\right) \cdot \left(a - b\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(b + a\right) \cdot \left(a - b\right)\]

Reproduce

herbie shell --seed 2019119 
(FPCore (a b)
  :name "Difference of squares"

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

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