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 r497469 = x;
        double r497470 = 1.0;
        double r497471 = y;
        double r497472 = r497471 * r497471;
        double r497473 = r497470 + r497472;
        double r497474 = r497469 * r497473;
        return r497474;
}
↓
double f(double x, double y) {
        double r497475 = x;
        double r497476 = 1.0;
        double r497477 = y;
        double r497478 = r497477 * r497477;
        double r497479 = r497476 + r497478;
        double r497480 = r497475 * r497479;
        return r497480;
}

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 2020034 
(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))))