Average Error: 0.0 → 0.0
Time: 645.0ms
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 r82220 = a;
        double r82221 = r82220 * r82220;
        double r82222 = b;
        double r82223 = r82222 * r82222;
        double r82224 = r82221 - r82223;
        return r82224;
}
↓
double f(double a, double b) {
        double r82225 = a;
        double r82226 = r82225 * r82225;
        double r82227 = b;
        double r82228 = r82227 * r82227;
        double r82229 = r82226 - r82228;
        return r82229;
}

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 2020062 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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