Average Error: 0.0 → 0.0
Time: 1.6s
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 r26716423 = a;
        double r26716424 = r26716423 * r26716423;
        double r26716425 = b;
        double r26716426 = r26716425 * r26716425;
        double r26716427 = r26716424 - r26716426;
        return r26716427;
}
↓
double f(double a, double b) {
        double r26716428 = a;
        double r26716429 = r26716428 * r26716428;
        double r26716430 = b;
        double r26716431 = r26716430 * r26716430;
        double r26716432 = r26716429 - r26716431;
        return r26716432;
}

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 2019112 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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