Average Error: 0.1 → 0.1
Time: 11.2s
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 r107774 = 1.0;
        double r107775 = x;
        double r107776 = r107774 - r107775;
        double r107777 = y;
        double r107778 = sqrt(r107775);
        double r107779 = r107777 * r107778;
        double r107780 = r107776 + r107779;
        return r107780;
}
↓
double f(double x, double y) {
        double r107781 = 1.0;
        double r107782 = x;
        double r107783 = r107781 - r107782;
        double r107784 = y;
        double r107785 = sqrt(r107782);
        double r107786 = r107784 * r107785;
        double r107787 = r107783 + r107786;
        return r107787;
}

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 2020047 +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))))