Average Error: 0.0 → 0.2
Time: 10.0s
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 r34427 = x;
        double r34428 = y;
        double r34429 = 1.0;
        double r34430 = r34428 - r34429;
        double r34431 = z;
        double r34432 = r34430 * r34431;
        double r34433 = r34427 - r34432;
        double r34434 = t;
        double r34435 = r34434 - r34429;
        double r34436 = a;
        double r34437 = r34435 * r34436;
        double r34438 = r34433 - r34437;
        double r34439 = r34428 + r34434;
        double r34440 = 2.0;
        double r34441 = r34439 - r34440;
        double r34442 = b;
        double r34443 = r34441 * r34442;
        double r34444 = r34438 + r34443;
        return r34444;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r34445 = x;
        double r34446 = y;
        double r34447 = 1.0;
        double r34448 = r34446 - r34447;
        double r34449 = cbrt(r34448);
        double r34450 = r34449 * r34449;
        double r34451 = z;
        double r34452 = r34449 * r34451;
        double r34453 = r34450 * r34452;
        double r34454 = r34445 - r34453;
        double r34455 = t;
        double r34456 = r34455 - r34447;
        double r34457 = a;
        double r34458 = r34456 * r34457;
        double r34459 = r34454 - r34458;
        double r34460 = r34446 + r34455;
        double r34461 = 2.0;
        double r34462 = r34460 - r34461;
        double r34463 = b;
        double r34464 = r34462 * r34463;
        double r34465 = r34459 + r34464;
        return r34465;
}

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 2019305 
(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)))