Average Error: 0.1 → 0.1
Time: 4.6s
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 r172719 = 1.0;
        double r172720 = x;
        double r172721 = r172719 - r172720;
        double r172722 = y;
        double r172723 = sqrt(r172720);
        double r172724 = r172722 * r172723;
        double r172725 = r172721 + r172724;
        return r172725;
}
↓
double f(double x, double y) {
        double r172726 = 1.0;
        double r172727 = x;
        double r172728 = r172726 - r172727;
        double r172729 = y;
        double r172730 = sqrt(r172727);
        double r172731 = r172729 * r172730;
        double r172732 = r172728 + r172731;
        return r172732;
}

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 2020081 +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))))