Average Error: 0.0 → 0.0

Time: 5.8s

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 r66037 = a;
        double r66038 = r66037 * r66037;
        double r66039 = b;
        double r66040 = r66039 * r66039;
        double r66041 = r66038 - r66040;
        return r66041;
}

↓

double f(double a, double b) {
        double r66042 = a;
        double r66043 = r66042 * r66042;
        double r66044 = b;
        double r66045 = r66044 * r66044;
        double r66046 = r66043 - r66045;
        return r66046;
}

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 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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