Average Error: 0.0 → 0.0
Time: 675.0ms
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 r78344 = a;
        double r78345 = r78344 * r78344;
        double r78346 = b;
        double r78347 = r78346 * r78346;
        double r78348 = r78345 - r78347;
        return r78348;
}
↓
double f(double a, double b) {
        double r78349 = a;
        double r78350 = r78349 * r78349;
        double r78351 = b;
        double r78352 = r78351 * r78351;
        double r78353 = r78350 - r78352;
        return r78353;
}

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 2020003 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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