Average Error: 0.1 → 0.1
Time: 4.1s
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 r115436 = 1.0;
        double r115437 = x;
        double r115438 = r115436 - r115437;
        double r115439 = y;
        double r115440 = sqrt(r115437);
        double r115441 = r115439 * r115440;
        double r115442 = r115438 + r115441;
        return r115442;
}
↓
double f(double x, double y) {
        double r115443 = 1.0;
        double r115444 = x;
        double r115445 = r115443 - r115444;
        double r115446 = y;
        double r115447 = sqrt(r115444);
        double r115448 = r115446 * r115447;
        double r115449 = r115445 + r115448;
        return r115449;
}

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 2019346 +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))))