Average Error: 0.1 → 0.1
Time: 3.6s
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 r98977 = 1.0;
        double r98978 = x;
        double r98979 = r98977 - r98978;
        double r98980 = y;
        double r98981 = sqrt(r98978);
        double r98982 = r98980 * r98981;
        double r98983 = r98979 + r98982;
        return r98983;
}
↓
double f(double x, double y) {
        double r98984 = 1.0;
        double r98985 = x;
        double r98986 = r98984 - r98985;
        double r98987 = y;
        double r98988 = sqrt(r98985);
        double r98989 = r98987 * r98988;
        double r98990 = r98986 + r98989;
        return r98990;
}

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 2020065 +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))))