Average Error: 0.0 → 0.2
Time: 18.2s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r46514 = x;
        double r46515 = y;
        double r46516 = 1.0;
        double r46517 = r46515 - r46516;
        double r46518 = z;
        double r46519 = r46517 * r46518;
        double r46520 = r46514 - r46519;
        double r46521 = t;
        double r46522 = r46521 - r46516;
        double r46523 = a;
        double r46524 = r46522 * r46523;
        double r46525 = r46520 - r46524;
        double r46526 = r46515 + r46521;
        double r46527 = 2.0;
        double r46528 = r46526 - r46527;
        double r46529 = b;
        double r46530 = r46528 * r46529;
        double r46531 = r46525 + r46530;
        return r46531;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r46532 = x;
        double r46533 = y;
        double r46534 = 1.0;
        double r46535 = r46533 - r46534;
        double r46536 = cbrt(r46535);
        double r46537 = r46536 * r46536;
        double r46538 = z;
        double r46539 = r46536 * r46538;
        double r46540 = r46537 * r46539;
        double r46541 = r46532 - r46540;
        double r46542 = t;
        double r46543 = r46542 - r46534;
        double r46544 = a;
        double r46545 = r46543 * r46544;
        double r46546 = r46541 - r46545;
        double r46547 = r46533 + r46542;
        double r46548 = 2.0;
        double r46549 = r46547 - r46548;
        double r46550 = b;
        double r46551 = r46549 * r46550;
        double r46552 = r46546 + r46551;
        return r46552;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \sqrt[3]{y - 1}\right)} \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

Reproduce

herbie shell --seed 2019208 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))