Average Error: 0.1 → 0.1
Time: 3.9s
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 r125895 = 1.0;
        double r125896 = x;
        double r125897 = r125895 - r125896;
        double r125898 = y;
        double r125899 = sqrt(r125896);
        double r125900 = r125898 * r125899;
        double r125901 = r125897 + r125900;
        return r125901;
}
↓
double f(double x, double y) {
        double r125902 = 1.0;
        double r125903 = x;
        double r125904 = r125902 - r125903;
        double r125905 = y;
        double r125906 = sqrt(r125903);
        double r125907 = r125905 * r125906;
        double r125908 = r125904 + r125907;
        return r125908;
}

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 2020062 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))