Average Error: 0.0 → 0.2
Time: 17.9s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\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(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\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 r34616 = x;
        double r34617 = y;
        double r34618 = 1.0;
        double r34619 = r34617 - r34618;
        double r34620 = z;
        double r34621 = r34619 * r34620;
        double r34622 = r34616 - r34621;
        double r34623 = t;
        double r34624 = r34623 - r34618;
        double r34625 = a;
        double r34626 = r34624 * r34625;
        double r34627 = r34622 - r34626;
        double r34628 = r34617 + r34623;
        double r34629 = 2.0;
        double r34630 = r34628 - r34629;
        double r34631 = b;
        double r34632 = r34630 * r34631;
        double r34633 = r34627 + r34632;
        return r34633;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r34634 = x;
        double r34635 = y;
        double r34636 = 1.0;
        double r34637 = r34635 - r34636;
        double r34638 = z;
        double r34639 = r34637 * r34638;
        double r34640 = r34634 - r34639;
        double r34641 = t;
        double r34642 = r34641 - r34636;
        double r34643 = cbrt(r34642);
        double r34644 = r34643 * r34643;
        double r34645 = a;
        double r34646 = r34643 * r34645;
        double r34647 = r34644 * r34646;
        double r34648 = r34640 - r34647;
        double r34649 = r34635 + r34641;
        double r34650 = 2.0;
        double r34651 = r34649 - r34650;
        double r34652 = b;
        double r34653 = r34651 * r34652;
        double r34654 = r34648 + r34653;
        return r34654;
}

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

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

  4. Applied associate-*l*0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019304 
(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)))