Average Error: 0.1 → 0.1
Time: 4.1s
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 r97770 = 1.0;
        double r97771 = x;
        double r97772 = r97770 - r97771;
        double r97773 = y;
        double r97774 = sqrt(r97771);
        double r97775 = r97773 * r97774;
        double r97776 = r97772 + r97775;
        return r97776;
}
↓
double f(double x, double y) {
        double r97777 = 1.0;
        double r97778 = x;
        double r97779 = r97777 - r97778;
        double r97780 = y;
        double r97781 = sqrt(r97778);
        double r97782 = r97780 * r97781;
        double r97783 = r97779 + r97782;
        return r97783;
}

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 2020046 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))