Average Error: 0.4 → 0.4
Time: 15.2s
Precision: 64
\[\left(3.0 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1.0}{x \cdot 9.0}\right) - 1.0\right)\]
↓
\[3.0 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1.0}{9.0 \cdot x}\right) - 1.0\right)\right)\]
\left(3.0 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1.0}{x \cdot 9.0}\right) - 1.0\right)
↓
3.0 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1.0}{9.0 \cdot x}\right) - 1.0\right)\right)
double f(double x, double y) {
        double r25581780 = 3.0;
        double r25581781 = x;
        double r25581782 = sqrt(r25581781);
        double r25581783 = r25581780 * r25581782;
        double r25581784 = y;
        double r25581785 = 1.0;
        double r25581786 = 9.0;
        double r25581787 = r25581781 * r25581786;
        double r25581788 = r25581785 / r25581787;
        double r25581789 = r25581784 + r25581788;
        double r25581790 = r25581789 - r25581785;
        double r25581791 = r25581783 * r25581790;
        return r25581791;
}
↓
double f(double x, double y) {
        double r25581792 = 3.0;
        double r25581793 = x;
        double r25581794 = sqrt(r25581793);
        double r25581795 = y;
        double r25581796 = 1.0;
        double r25581797 = 9.0;
        double r25581798 = r25581797 * r25581793;
        double r25581799 = r25581796 / r25581798;
        double r25581800 = r25581795 + r25581799;
        double r25581801 = r25581800 - r25581796;
        double r25581802 = r25581794 * r25581801;
        double r25581803 = r25581792 * r25581802;
        return r25581803;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.4
Herbie0.4
\[3.0 \cdot \left(y \cdot \sqrt{x} + \left(\frac{1.0}{x \cdot 9.0} - 1.0\right) \cdot \sqrt{x}\right)\]

Derivation

  1. Initial program 0.4

    \[\left(3.0 \cdot \sqrt{x}\right) \cdot \left(\left(y + \frac{1.0}{x \cdot 9.0}\right) - 1.0\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.4

    \[\leadsto \color{blue}{3.0 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1.0}{x \cdot 9.0}\right) - 1.0\right)\right)}\]

  4. Final simplification0.4

    \[\leadsto 3.0 \cdot \left(\sqrt{x} \cdot \left(\left(y + \frac{1.0}{9.0 \cdot x}\right) - 1.0\right)\right)\]

Reproduce

herbie shell --seed 2019158 
(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)))