Average Error: 5.5 → 5.5
Time: 2.6s
Precision: 64
\[x \cdot \left(1 + y \cdot y\right)\]
↓
\[x \cdot \left(1 + y \cdot y\right)\]
x \cdot \left(1 + y \cdot y\right)
↓
x \cdot \left(1 + y \cdot y\right)
double f(double x, double y) {
        double r484589 = x;
        double r484590 = 1.0;
        double r484591 = y;
        double r484592 = r484591 * r484591;
        double r484593 = r484590 + r484592;
        double r484594 = r484589 * r484593;
        return r484594;
}
↓
double f(double x, double y) {
        double r484595 = x;
        double r484596 = 1.0;
        double r484597 = y;
        double r484598 = r484597 * r484597;
        double r484599 = r484596 + r484598;
        double r484600 = r484595 * r484599;
        return r484600;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.5
Target0.1
Herbie5.5
\[x + \left(x \cdot y\right) \cdot y\]

Derivation

  1. Initial program 5.5

    \[x \cdot \left(1 + y \cdot y\right)\]

  2. Final simplification5.5

    \[\leadsto x \cdot \left(1 + y \cdot y\right)\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y)
  :name "Numeric.Integration.TanhSinh:everywhere from integration-0.2.1"
  :precision binary64

  :herbie-target
  (+ x (* (* x y) y))

  (* x (+ 1 (* y y))))