Average Error: 0.1 → 0.1
Time: 3.3s
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 r76817 = 1.0;
        double r76818 = x;
        double r76819 = r76817 - r76818;
        double r76820 = y;
        double r76821 = sqrt(r76818);
        double r76822 = r76820 * r76821;
        double r76823 = r76819 + r76822;
        return r76823;
}
↓
double f(double x, double y) {
        double r76824 = 1.0;
        double r76825 = x;
        double r76826 = r76824 - r76825;
        double r76827 = y;
        double r76828 = sqrt(r76825);
        double r76829 = r76827 * r76828;
        double r76830 = r76826 + r76829;
        return r76830;
}

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 2020036 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))