Average Error: 0.1 → 0.1
Time: 15.0s
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 r103693 = 1.0;
        double r103694 = x;
        double r103695 = r103693 - r103694;
        double r103696 = y;
        double r103697 = sqrt(r103694);
        double r103698 = r103696 * r103697;
        double r103699 = r103695 + r103698;
        return r103699;
}
↓
double f(double x, double y) {
        double r103700 = 1.0;
        double r103701 = x;
        double r103702 = r103700 - r103701;
        double r103703 = y;
        double r103704 = sqrt(r103701);
        double r103705 = r103703 * r103704;
        double r103706 = r103702 + r103705;
        return r103706;
}

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 2019212 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))