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 r69762 = 1.0;
        double r69763 = x;
        double r69764 = r69762 - r69763;
        double r69765 = y;
        double r69766 = sqrt(r69763);
        double r69767 = r69765 * r69766;
        double r69768 = r69764 + r69767;
        return r69768;
}
↓
double f(double x, double y) {
        double r69769 = 1.0;
        double r69770 = x;
        double r69771 = r69769 - r69770;
        double r69772 = y;
        double r69773 = sqrt(r69770);
        double r69774 = r69772 * r69773;
        double r69775 = r69771 + r69774;
        return r69775;
}

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 2020027 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))