Average Error: 0.5 → 0.5
Time: 11.6s
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 r640812 = x;
        double r640813 = 1.0;
        double r640814 = r640812 - r640813;
        double r640815 = sqrt(r640814);
        double r640816 = sqrt(r640812);
        double r640817 = r640815 * r640816;
        return r640817;
}
↓
double f(double x) {
        double r640818 = x;
        double r640819 = 1.0;
        double r640820 = r640818 - r640819;
        double r640821 = sqrt(r640820);
        double r640822 = sqrt(r640818);
        double r640823 = r640821 * r640822;
        return r640823;
}

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 2019169 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1.0)) (sqrt x)))