Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[e^{\left(x \cdot y\right) \cdot y}\]
↓
\[e^{\left(\sqrt[3]{\left(x \cdot y\right) \cdot y} \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}\right) \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}}\]
e^{\left(x \cdot y\right) \cdot y}
↓
e^{\left(\sqrt[3]{\left(x \cdot y\right) \cdot y} \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}\right) \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}}
double f(double x, double y) {
        double r245447 = x;
        double r245448 = y;
        double r245449 = r245447 * r245448;
        double r245450 = r245449 * r245448;
        double r245451 = exp(r245450);
        return r245451;
}
↓
double f(double x, double y) {
        double r245452 = x;
        double r245453 = y;
        double r245454 = r245452 * r245453;
        double r245455 = r245454 * r245453;
        double r245456 = cbrt(r245455);
        double r245457 = r245456 * r245456;
        double r245458 = r245457 * r245456;
        double r245459 = exp(r245458);
        return r245459;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{\left(x \cdot y\right) \cdot y}\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.0

    \[\leadsto e^{\color{blue}{\left(\sqrt[3]{\left(x \cdot y\right) \cdot y} \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}\right) \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}}}\]

  4. Final simplification0.0

    \[\leadsto e^{\left(\sqrt[3]{\left(x \cdot y\right) \cdot y} \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}\right) \cdot \sqrt[3]{\left(x \cdot y\right) \cdot y}}\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y)
  :name "Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2"
  :precision binary64
  (exp (* (* x y) y)))