Average Error: 0.5 → 0.5
Time: 6.0s
Precision: 64
\[\sqrt{x - 1} \cdot \sqrt{x}\]
↓
\[\sqrt{x - 1} \cdot \sqrt{x}\]
\sqrt{x - 1} \cdot \sqrt{x}
↓
\sqrt{x - 1} \cdot \sqrt{x}
double f(double x) {
        double r71535 = x;
        double r71536 = 1.0;
        double r71537 = r71535 - r71536;
        double r71538 = sqrt(r71537);
        double r71539 = sqrt(r71535);
        double r71540 = r71538 * r71539;
        return r71540;
}
↓
double f(double x) {
        double r71541 = x;
        double r71542 = 1.0;
        double r71543 = r71541 - r71542;
        double r71544 = sqrt(r71543);
        double r71545 = sqrt(r71541);
        double r71546 = r71544 * r71545;
        return r71546;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\sqrt{x - 1} \cdot \sqrt{x}\]

  2. Final simplification0.5

    \[\leadsto \sqrt{x - 1} \cdot \sqrt{x}\]

Reproduce

herbie shell --seed 2019153 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))