Average Error: 0.1 → 0.1
Time: 20.4s
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 r53957 = 1.0;
        double r53958 = x;
        double r53959 = r53957 - r53958;
        double r53960 = y;
        double r53961 = sqrt(r53958);
        double r53962 = r53960 * r53961;
        double r53963 = r53959 + r53962;
        return r53963;
}
↓
double f(double x, double y) {
        double r53964 = 1.0;
        double r53965 = x;
        double r53966 = r53964 - r53965;
        double r53967 = y;
        double r53968 = sqrt(r53965);
        double r53969 = r53967 * r53968;
        double r53970 = r53966 + r53969;
        return r53970;
}

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 2019306 +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))))