Average Error: 0.0 → 0.0
Time: 9.8s
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 r110225 = a;
        double r110226 = r110225 * r110225;
        double r110227 = b;
        double r110228 = r110227 * r110227;
        double r110229 = r110226 - r110228;
        return r110229;
}
↓
double f(double a, double b) {
        double r110230 = a;
        double r110231 = b;
        double r110232 = r110230 - r110231;
        double r110233 = r110230 + r110231;
        double r110234 = r110232 * r110233;
        return r110234;
}

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 2019351 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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