Average Error: 0.0 → 0.0
Time: 5.1s
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 r2986441 = a;
        double r2986442 = r2986441 * r2986441;
        double r2986443 = b;
        double r2986444 = r2986443 * r2986443;
        double r2986445 = r2986442 - r2986444;
        return r2986445;
}
↓
double f(double a, double b) {
        double r2986446 = a;
        double r2986447 = r2986446 * r2986446;
        double r2986448 = b;
        double r2986449 = r2986448 * r2986448;
        double r2986450 = r2986447 - r2986449;
        return r2986450;
}

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 2019172 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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