Average Error: 0.5 → 0.5
Time: 12.1s
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 r526297 = x;
        double r526298 = 1.0;
        double r526299 = r526297 - r526298;
        double r526300 = sqrt(r526299);
        double r526301 = sqrt(r526297);
        double r526302 = r526300 * r526301;
        return r526302;
}
↓
double f(double x) {
        double r526303 = x;
        double r526304 = 1.0;
        double r526305 = r526303 - r526304;
        double r526306 = sqrt(r526305);
        double r526307 = sqrt(r526303);
        double r526308 = r526306 * r526307;
        return r526308;
}

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 2019158 
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))