Average Error: 0.0 → 0.0

Time: 4.8s

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 r84274 = a;
        double r84275 = r84274 * r84274;
        double r84276 = b;
        double r84277 = r84276 * r84276;
        double r84278 = r84275 - r84277;
        return r84278;
}

↓

double f(double a, double b) {
        double r84279 = a;
        double r84280 = r84279 * r84279;
        double r84281 = b;
        double r84282 = r84281 * r84281;
        double r84283 = r84280 - r84282;
        return r84283;
}

Error

The X axis uses an exponential scale — Bits error versus `a`

Try it out

In
Out

Enter valid numbers for all inputs

Target

Original	0.0
Target	0.0
Herbie	0.0

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

Derivation

Initial program 0.0
\[a \cdot a - b \cdot b\]
Final simplification0.0
\[\leadsto a \cdot a - b \cdot b\]

Reproduce

herbie shell --seed 2019196 
(FPCore (a b)
  :name "Difference of squares"

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

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