Average Error: 0.4 → 0.4
Time: 13.3s
Precision: 64
\[\left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\]
↓
\[3 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\right)\]
\left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)
↓
3 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\right)
double f(double x, double y) {
        double r350795 = 3.0;
        double r350796 = x;
        double r350797 = sqrt(r350796);
        double r350798 = r350795 * r350797;
        double r350799 = y;
        double r350800 = 1.0;
        double r350801 = 9.0;
        double r350802 = r350796 * r350801;
        double r350803 = r350800 / r350802;
        double r350804 = r350799 + r350803;
        double r350805 = r350804 - r350800;
        double r350806 = r350798 * r350805;
        return r350806;
}
↓
double f(double x, double y) {
        double r350807 = 3.0;
        double r350808 = x;
        double r350809 = sqrt(r350808);
        double r350810 = y;
        double r350811 = 1.0;
        double r350812 = 9.0;
        double r350813 = r350808 * r350812;
        double r350814 = r350811 / r350813;
        double r350815 = r350810 + r350814;
        double r350816 = r350815 - r350811;
        double r350817 = r350809 * r350816;
        double r350818 = r350807 * r350817;
        return r350818;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original0.4
Target0.4
Herbie0.4
\[3 \cdot \left(y \cdot \sqrt{x} + \left(\frac{1}{x \cdot 9} - 1\right) \cdot \sqrt{x}\right)\]

Derivation

  1. Initial program 0.4

    \[\left(3 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.4

    \[\leadsto \color{blue}{3 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\right)}\]

  4. Final simplification0.4

    \[\leadsto 3 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1}{x \cdot 9}\right) - 1\right)\right)\]

Reproduce

herbie shell --seed 2019198 
(FPCore (x y)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B"

  :herbie-target
  (* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))

  (* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))