Average Error: 0.1 → 0.1
Time: 3.8s
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 r102945 = 1.0;
        double r102946 = x;
        double r102947 = r102945 - r102946;
        double r102948 = y;
        double r102949 = sqrt(r102946);
        double r102950 = r102948 * r102949;
        double r102951 = r102947 + r102950;
        return r102951;
}
↓
double f(double x, double y) {
        double r102952 = 1.0;
        double r102953 = x;
        double r102954 = r102952 - r102953;
        double r102955 = y;
        double r102956 = sqrt(r102953);
        double r102957 = r102955 * r102956;
        double r102958 = r102954 + r102957;
        return r102958;
}

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 2020060 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))