Average Error: 0.1 → 0.1
Time: 4.2s
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 r127301 = 1.0;
        double r127302 = x;
        double r127303 = r127301 - r127302;
        double r127304 = y;
        double r127305 = sqrt(r127302);
        double r127306 = r127304 * r127305;
        double r127307 = r127303 + r127306;
        return r127307;
}
↓
double f(double x, double y) {
        double r127308 = 1.0;
        double r127309 = x;
        double r127310 = r127308 - r127309;
        double r127311 = y;
        double r127312 = sqrt(r127309);
        double r127313 = r127311 * r127312;
        double r127314 = r127310 + r127313;
        return r127314;
}

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 2020001 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))