Average Error: 0.1 → 0.1
Time: 4.3s
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 r97813 = 1.0;
        double r97814 = x;
        double r97815 = r97813 - r97814;
        double r97816 = y;
        double r97817 = sqrt(r97814);
        double r97818 = r97816 * r97817;
        double r97819 = r97815 + r97818;
        return r97819;
}
↓
double f(double x, double y) {
        double r97820 = 1.0;
        double r97821 = x;
        double r97822 = r97820 - r97821;
        double r97823 = y;
        double r97824 = sqrt(r97821);
        double r97825 = r97823 * r97824;
        double r97826 = r97822 + r97825;
        return r97826;
}

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 2019354 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))