Average Error: 0.0 → 0.0
Time: 11.2s
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 r4564324 = a;
        double r4564325 = r4564324 * r4564324;
        double r4564326 = b;
        double r4564327 = r4564326 * r4564326;
        double r4564328 = r4564325 - r4564327;
        return r4564328;
}
↓
double f(double a, double b) {
        double r4564329 = a;
        double r4564330 = r4564329 * r4564329;
        double r4564331 = b;
        double r4564332 = r4564331 * r4564331;
        double r4564333 = r4564330 - r4564332;
        return r4564333;
}

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 2019170 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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