Average Error: 0.0 → 0.0

Time: 4.7s

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 r59245 = a;
        double r59246 = r59245 * r59245;
        double r59247 = b;
        double r59248 = r59247 * r59247;
        double r59249 = r59246 - r59248;
        return r59249;
}

↓

double f(double a, double b) {
        double r59250 = a;
        double r59251 = r59250 * r59250;
        double r59252 = b;
        double r59253 = r59252 * r59252;
        double r59254 = r59251 - r59253;
        return r59254;
}

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 2019195 
(FPCore (a b)
  :name "Difference of squares"

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

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