Average Error: 0.5 → 0.5
Time: 8.1s
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 r120005 = x;
        double r120006 = 1.0;
        double r120007 = r120005 - r120006;
        double r120008 = sqrt(r120007);
        double r120009 = sqrt(r120005);
        double r120010 = r120008 * r120009;
        return r120010;
}
↓
double f(double x) {
        double r120011 = x;
        double r120012 = 1.0;
        double r120013 = r120011 - r120012;
        double r120014 = sqrt(r120013);
        double r120015 = sqrt(r120011);
        double r120016 = r120014 * r120015;
        return r120016;
}

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 2019107 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))