Average Error: 0.1 → 0.1
Time: 3.7s
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 r116348 = 1.0;
        double r116349 = x;
        double r116350 = r116348 - r116349;
        double r116351 = y;
        double r116352 = sqrt(r116349);
        double r116353 = r116351 * r116352;
        double r116354 = r116350 + r116353;
        return r116354;
}
↓
double f(double x, double y) {
        double r116355 = 1.0;
        double r116356 = x;
        double r116357 = r116355 - r116356;
        double r116358 = y;
        double r116359 = sqrt(r116356);
        double r116360 = r116358 * r116359;
        double r116361 = r116357 + r116360;
        return r116361;
}

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 2020039 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))