Average Error: 0.1 → 0.1
Time: 3.7s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + y \cdot \sqrt{x}
double f(double x, double y) {
        double r106854 = 1.0;
        double r106855 = x;
        double r106856 = r106854 - r106855;
        double r106857 = y;
        double r106858 = sqrt(r106855);
        double r106859 = r106857 * r106858;
        double r106860 = r106856 + r106859;
        return r106860;
}
↓
double f(double x, double y) {
        double r106861 = 1.0;
        double r106862 = x;
        double r106863 = r106861 - r106862;
        double r106864 = y;
        double r106865 = sqrt(r106862);
        double r106866 = r106864 * r106865;
        double r106867 = r106863 + r106866;
        return r106867;
}

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 0.1

    \[\left(1 - x\right) + y \cdot \sqrt{x}\]

  2. Final simplification0.1

    \[\leadsto \left(1 - x\right) + y \cdot \sqrt{x}\]

Reproduce

herbie shell --seed 2020065 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))