Average Error: 0.0 → 0.0
Time: 632.0ms
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[a \cdot a - b \cdot b\]
a \cdot a - b \cdot b
↓
a \cdot a - b \cdot b
double f(double a, double b) {
        double r108302 = a;
        double r108303 = r108302 * r108302;
        double r108304 = b;
        double r108305 = r108304 * r108304;
        double r108306 = r108303 - r108305;
        return r108306;
}
↓
double f(double a, double b) {
        double r108307 = a;
        double r108308 = r108307 * r108307;
        double r108309 = b;
        double r108310 = r108309 * r108309;
        double r108311 = r108308 - r108310;
        return r108311;
}

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. Final simplification0.0

    \[\leadsto a \cdot a - b \cdot b\]

Reproduce

herbie shell --seed 2020027 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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