Average Error: 28.3 → 28.4
Time: 37.3s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
↓
\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3279583 = x;
        double r3279584 = y;
        double r3279585 = r3279583 * r3279584;
        double r3279586 = z;
        double r3279587 = r3279585 + r3279586;
        double r3279588 = r3279587 * r3279584;
        double r3279589 = 27464.7644705;
        double r3279590 = r3279588 + r3279589;
        double r3279591 = r3279590 * r3279584;
        double r3279592 = 230661.510616;
        double r3279593 = r3279591 + r3279592;
        double r3279594 = r3279593 * r3279584;
        double r3279595 = t;
        double r3279596 = r3279594 + r3279595;
        double r3279597 = a;
        double r3279598 = r3279584 + r3279597;
        double r3279599 = r3279598 * r3279584;
        double r3279600 = b;
        double r3279601 = r3279599 + r3279600;
        double r3279602 = r3279601 * r3279584;
        double r3279603 = c;
        double r3279604 = r3279602 + r3279603;
        double r3279605 = r3279604 * r3279584;
        double r3279606 = i;
        double r3279607 = r3279605 + r3279606;
        double r3279608 = r3279596 / r3279607;
        return r3279608;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3279609 = t;
        double r3279610 = y;
        double r3279611 = z;
        double r3279612 = x;
        double r3279613 = r3279612 * r3279610;
        double r3279614 = r3279611 + r3279613;
        double r3279615 = r3279610 * r3279614;
        double r3279616 = 27464.7644705;
        double r3279617 = r3279615 + r3279616;
        double r3279618 = r3279610 * r3279617;
        double r3279619 = 230661.510616;
        double r3279620 = r3279618 + r3279619;
        double r3279621 = r3279620 * r3279610;
        double r3279622 = r3279609 + r3279621;
        double r3279623 = 1.0;
        double r3279624 = i;
        double r3279625 = a;
        double r3279626 = r3279625 + r3279610;
        double r3279627 = r3279626 * r3279610;
        double r3279628 = b;
        double r3279629 = r3279627 + r3279628;
        double r3279630 = r3279629 * r3279610;
        double r3279631 = c;
        double r3279632 = r3279630 + r3279631;
        double r3279633 = r3279610 * r3279632;
        double r3279634 = r3279624 + r3279633;
        double r3279635 = r3279623 / r3279634;
        double r3279636 = r3279622 * r3279635;
        return r3279636;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 28.3

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
  2. Using strategy rm

  3. Applied div-inv28.4

    \[\leadsto \color{blue}{\left(\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t\right) \cdot \frac{1}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\]

  4. Final simplification28.4

    \[\leadsto \left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}\]

Reproduce

herbie shell --seed 2019146 
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))