Average Error: 0.0 → 0.3
Time: 5.6s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(\left(y - 1\right) \cdot \left(\sqrt[3]{z} \cdot \sqrt[3]{z}\right)\right) \cdot \sqrt[3]{z}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(\left(y - 1\right) \cdot \left(\sqrt[3]{z} \cdot \sqrt[3]{z}\right)\right) \cdot \sqrt[3]{z}\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 r48648 = x;
        double r48649 = y;
        double r48650 = 1.0;
        double r48651 = r48649 - r48650;
        double r48652 = z;
        double r48653 = r48651 * r48652;
        double r48654 = r48648 - r48653;
        double r48655 = t;
        double r48656 = r48655 - r48650;
        double r48657 = a;
        double r48658 = r48656 * r48657;
        double r48659 = r48654 - r48658;
        double r48660 = r48649 + r48655;
        double r48661 = 2.0;
        double r48662 = r48660 - r48661;
        double r48663 = b;
        double r48664 = r48662 * r48663;
        double r48665 = r48659 + r48664;
        return r48665;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r48666 = x;
        double r48667 = y;
        double r48668 = 1.0;
        double r48669 = r48667 - r48668;
        double r48670 = z;
        double r48671 = cbrt(r48670);
        double r48672 = r48671 * r48671;
        double r48673 = r48669 * r48672;
        double r48674 = r48673 * r48671;
        double r48675 = r48666 - r48674;
        double r48676 = t;
        double r48677 = r48676 - r48668;
        double r48678 = a;
        double r48679 = r48677 * r48678;
        double r48680 = r48675 - r48679;
        double r48681 = r48667 + r48676;
        double r48682 = 2.0;
        double r48683 = r48681 - r48682;
        double r48684 = b;
        double r48685 = r48683 * r48684;
        double r48686 = r48680 + r48685;
        return r48686;
}

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

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

  4. Applied associate-*r*0.3

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

  5. Final simplification0.3

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

Reproduce

herbie shell --seed 2019347 
(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)))