Average Error: 0.0 → 0.0
Time: 351.0ms
Precision: 64
\[x \cdot \left(y + y\right)\]
↓
\[x \cdot \left(y + y\right)\]
x \cdot \left(y + y\right)
↓
x \cdot \left(y + y\right)
double f(double x, double y) {
        double r21599 = x;
        double r21600 = y;
        double r21601 = r21600 + r21600;
        double r21602 = r21599 * r21601;
        return r21602;
}
↓
double f(double x, double y) {
        double r21603 = x;
        double r21604 = y;
        double r21605 = r21604 + r21604;
        double r21606 = r21603 * r21605;
        return r21606;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot \left(y + y\right)\]

  2. Final simplification0.0

    \[\leadsto x \cdot \left(y + y\right)\]

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Integration.TanhSinh:simpson  from integration-0.2.1"
  :precision binary64
  (* x (+ y y)))