Average Error: 0.5 → 0.5
Time: 6.0s
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 r71044 = x;
        double r71045 = 1.0;
        double r71046 = r71044 - r71045;
        double r71047 = sqrt(r71046);
        double r71048 = sqrt(r71044);
        double r71049 = r71047 * r71048;
        return r71049;
}
↓
double f(double x) {
        double r71050 = x;
        double r71051 = 1.0;
        double r71052 = r71050 - r71051;
        double r71053 = sqrt(r71052);
        double r71054 = sqrt(r71050);
        double r71055 = r71053 * r71054;
        return r71055;
}

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 2019153 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))