Average Error: 0.0 → 0.3
Time: 56.7s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\left(t - 1\right) \cdot \left(\sqrt[3]{a} \cdot \sqrt[3]{a}\right)\right) \cdot \sqrt[3]{a}\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\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(y - 1\right) \cdot z\right) - \left(\left(t - 1\right) \cdot \left(\sqrt[3]{a} \cdot \sqrt[3]{a}\right)\right) \cdot \sqrt[3]{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 r33461 = x;
        double r33462 = y;
        double r33463 = 1.0;
        double r33464 = r33462 - r33463;
        double r33465 = z;
        double r33466 = r33464 * r33465;
        double r33467 = r33461 - r33466;
        double r33468 = t;
        double r33469 = r33468 - r33463;
        double r33470 = a;
        double r33471 = r33469 * r33470;
        double r33472 = r33467 - r33471;
        double r33473 = r33462 + r33468;
        double r33474 = 2.0;
        double r33475 = r33473 - r33474;
        double r33476 = b;
        double r33477 = r33475 * r33476;
        double r33478 = r33472 + r33477;
        return r33478;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r33479 = x;
        double r33480 = y;
        double r33481 = 1.0;
        double r33482 = r33480 - r33481;
        double r33483 = z;
        double r33484 = r33482 * r33483;
        double r33485 = r33479 - r33484;
        double r33486 = t;
        double r33487 = r33486 - r33481;
        double r33488 = a;
        double r33489 = cbrt(r33488);
        double r33490 = r33489 * r33489;
        double r33491 = r33487 * r33490;
        double r33492 = r33491 * r33489;
        double r33493 = r33485 - r33492;
        double r33494 = r33480 + r33486;
        double r33495 = 2.0;
        double r33496 = r33494 - r33495;
        double r33497 = b;
        double r33498 = r33496 * r33497;
        double r33499 = r33493 + r33498;
        return r33499;
}

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-cbrt0.3

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

  4. Applied associate-*r*0.3

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

  5. Final simplification0.3

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

Reproduce

herbie shell --seed 2019202 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))