Average Error: 0.1 → 0.1
Time: 4.4s
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 r83854 = 1.0;
        double r83855 = x;
        double r83856 = r83854 - r83855;
        double r83857 = y;
        double r83858 = sqrt(r83855);
        double r83859 = r83857 * r83858;
        double r83860 = r83856 + r83859;
        return r83860;
}
↓
double f(double x, double y) {
        double r83861 = 1.0;
        double r83862 = x;
        double r83863 = r83861 - r83862;
        double r83864 = y;
        double r83865 = sqrt(r83862);
        double r83866 = r83864 * r83865;
        double r83867 = r83863 + r83866;
        return r83867;
}

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 2020021 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))