Average Error: 0.1 → 0.1
Time: 16.0s
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 r113069 = 1.0;
        double r113070 = x;
        double r113071 = r113069 - r113070;
        double r113072 = y;
        double r113073 = sqrt(r113070);
        double r113074 = r113072 * r113073;
        double r113075 = r113071 + r113074;
        return r113075;
}
↓
double f(double x, double y) {
        double r113076 = 1.0;
        double r113077 = x;
        double r113078 = r113076 - r113077;
        double r113079 = y;
        double r113080 = sqrt(r113077);
        double r113081 = r113079 * r113080;
        double r113082 = r113078 + r113081;
        return r113082;
}

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 2019212 +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))))