Average Error: 0.1 → 0.1
Time: 8.2s
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 r101967 = 1.0;
        double r101968 = x;
        double r101969 = r101967 - r101968;
        double r101970 = y;
        double r101971 = sqrt(r101968);
        double r101972 = r101970 * r101971;
        double r101973 = r101969 + r101972;
        return r101973;
}
↓
double f(double x, double y) {
        double r101974 = 1.0;
        double r101975 = x;
        double r101976 = r101974 - r101975;
        double r101977 = y;
        double r101978 = sqrt(r101975);
        double r101979 = r101977 * r101978;
        double r101980 = r101976 + r101979;
        return r101980;
}

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))))