Average Error: 0.5 → 0.5
Time: 7.6s
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 r101409 = x;
        double r101410 = 1.0;
        double r101411 = r101409 - r101410;
        double r101412 = sqrt(r101411);
        double r101413 = sqrt(r101409);
        double r101414 = r101412 * r101413;
        return r101414;
}
↓
double f(double x) {
        double r101415 = x;
        double r101416 = 1.0;
        double r101417 = r101415 - r101416;
        double r101418 = sqrt(r101417);
        double r101419 = sqrt(r101415);
        double r101420 = r101418 * r101419;
        return r101420;
}

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 2019112 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))