Average Error: 0.5 → 0.5
Time: 9.5s
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 r267164 = x;
        double r267165 = 1.0;
        double r267166 = r267164 - r267165;
        double r267167 = sqrt(r267166);
        double r267168 = sqrt(r267164);
        double r267169 = r267167 * r267168;
        return r267169;
}
↓
double f(double x) {
        double r267170 = x;
        double r267171 = 1.0;
        double r267172 = r267170 - r267171;
        double r267173 = sqrt(r267172);
        double r267174 = sqrt(r267170);
        double r267175 = r267173 * r267174;
        return r267175;
}

Error

Bits error versus x

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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 2019134 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))