Average Error: 0.1 → 0.1
Time: 4.4s
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 r87136 = 1.0;
        double r87137 = x;
        double r87138 = r87136 - r87137;
        double r87139 = y;
        double r87140 = sqrt(r87137);
        double r87141 = r87139 * r87140;
        double r87142 = r87138 + r87141;
        return r87142;
}
↓
double f(double x, double y) {
        double r87143 = 1.0;
        double r87144 = x;
        double r87145 = r87143 - r87144;
        double r87146 = y;
        double r87147 = sqrt(r87144);
        double r87148 = r87146 * r87147;
        double r87149 = r87145 + r87148;
        return r87149;
}

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 2020033 +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))))