Average Error: 0.5 → 0.5
Time: 7.2s
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 r305145 = x;
        double r305146 = 1.0;
        double r305147 = r305145 - r305146;
        double r305148 = sqrt(r305147);
        double r305149 = sqrt(r305145);
        double r305150 = r305148 * r305149;
        return r305150;
}
↓
double f(double x) {
        double r305151 = x;
        double r305152 = 1.0;
        double r305153 = r305151 - r305152;
        double r305154 = sqrt(r305153);
        double r305155 = sqrt(r305151);
        double r305156 = r305154 * r305155;
        return r305156;
}

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 2019165 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))