Average Error: 0.1 → 0.1
Time: 3.1s
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 r96126 = 1.0;
        double r96127 = x;
        double r96128 = r96126 - r96127;
        double r96129 = y;
        double r96130 = sqrt(r96127);
        double r96131 = r96129 * r96130;
        double r96132 = r96128 + r96131;
        return r96132;
}
↓
double f(double x, double y) {
        double r96133 = 1.0;
        double r96134 = x;
        double r96135 = r96133 - r96134;
        double r96136 = y;
        double r96137 = sqrt(r96134);
        double r96138 = r96136 * r96137;
        double r96139 = r96135 + r96138;
        return r96139;
}

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 2020002 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))