Average Error: 0.1 → 0.1
Time: 19.0s
Precision: 64
\[\left(1.0 - x\right) + y \cdot \sqrt{x}\]
↓
\[y \cdot \sqrt{x} + \left(1.0 - x\right)\]
\left(1.0 - x\right) + y \cdot \sqrt{x}
↓
y \cdot \sqrt{x} + \left(1.0 - x\right)
double f(double x, double y) {
        double r5409088 = 1.0;
        double r5409089 = x;
        double r5409090 = r5409088 - r5409089;
        double r5409091 = y;
        double r5409092 = sqrt(r5409089);
        double r5409093 = r5409091 * r5409092;
        double r5409094 = r5409090 + r5409093;
        return r5409094;
}
↓
double f(double x, double y) {
        double r5409095 = y;
        double r5409096 = x;
        double r5409097 = sqrt(r5409096);
        double r5409098 = r5409095 * r5409097;
        double r5409099 = 1.0;
        double r5409100 = r5409099 - r5409096;
        double r5409101 = r5409098 + r5409100;
        return r5409101;
}

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

    \[\left(1.0 - x\right) + y \cdot \sqrt{x}\]

  2. Final simplification0.1

    \[\leadsto y \cdot \sqrt{x} + \left(1.0 - x\right)\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))