Average Error: 0.0 → 0.2
Time: 22.9s
Precision: 64
\[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)\]
\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b
↓
\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r2879560 = x;
        double r2879561 = y;
        double r2879562 = 1.0;
        double r2879563 = r2879561 - r2879562;
        double r2879564 = z;
        double r2879565 = r2879563 * r2879564;
        double r2879566 = r2879560 - r2879565;
        double r2879567 = t;
        double r2879568 = r2879567 - r2879562;
        double r2879569 = a;
        double r2879570 = r2879568 * r2879569;
        double r2879571 = r2879566 - r2879570;
        double r2879572 = r2879561 + r2879567;
        double r2879573 = 2.0;
        double r2879574 = r2879572 - r2879573;
        double r2879575 = b;
        double r2879576 = r2879574 * r2879575;
        double r2879577 = r2879571 + r2879576;
        return r2879577;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r2879578 = x;
        double r2879579 = y;
        double r2879580 = 1.0;
        double r2879581 = r2879579 - r2879580;
        double r2879582 = z;
        double r2879583 = r2879581 * r2879582;
        double r2879584 = r2879578 - r2879583;
        double r2879585 = a;
        double r2879586 = t;
        double r2879587 = r2879586 - r2879580;
        double r2879588 = cbrt(r2879587);
        double r2879589 = r2879585 * r2879588;
        double r2879590 = r2879588 * r2879588;
        double r2879591 = r2879589 * r2879590;
        double r2879592 = r2879584 - r2879591;
        double r2879593 = b;
        double r2879594 = r2879586 + r2879579;
        double r2879595 = 2.0;
        double r2879596 = r2879594 - r2879595;
        double r2879597 = r2879593 * r2879596;
        double r2879598 = r2879592 + r2879597;
        return r2879598;
}

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

    \[\left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(t - 1.0\right) \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \color{blue}{\left(\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \sqrt[3]{t - 1.0}\right)} \cdot a\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \color{blue}{\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot a\right)}\right) + \left(\left(y + t\right) - 2.0\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(y - 1.0\right) \cdot z\right) - \left(a \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right)\right) + b \cdot \left(\left(t + y\right) - 2.0\right)\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))