Average Error: 0.1 → 0.1
Time: 9.6s
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 r84943 = 1.0;
        double r84944 = x;
        double r84945 = r84943 - r84944;
        double r84946 = y;
        double r84947 = sqrt(r84944);
        double r84948 = r84946 * r84947;
        double r84949 = r84945 + r84948;
        return r84949;
}
↓
double f(double x, double y) {
        double r84950 = 1.0;
        double r84951 = x;
        double r84952 = r84950 - r84951;
        double r84953 = y;
        double r84954 = sqrt(r84951);
        double r84955 = r84953 * r84954;
        double r84956 = r84952 + r84955;
        return r84956;
}

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