Average Error: 5.5 → 5.5
Time: 3.1s
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 r488791 = x;
        double r488792 = 1.0;
        double r488793 = y;
        double r488794 = r488793 * r488793;
        double r488795 = r488792 + r488794;
        double r488796 = r488791 * r488795;
        return r488796;
}
↓
double f(double x, double y) {
        double r488797 = x;
        double r488798 = 1.0;
        double r488799 = y;
        double r488800 = r488799 * r488799;
        double r488801 = r488798 + r488800;
        double r488802 = r488797 * r488801;
        return r488802;
}

Error

Bits error versus x

Bits error versus y

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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 2020021 
(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))))