Average Error: 0.0 → 0.0
Time: 5.0s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)\]
\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
↓
x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r34618 = x;
        double r34619 = y;
        double r34620 = 1.0;
        double r34621 = r34619 - r34620;
        double r34622 = z;
        double r34623 = r34621 * r34622;
        double r34624 = r34618 - r34623;
        double r34625 = t;
        double r34626 = r34625 - r34620;
        double r34627 = a;
        double r34628 = r34626 * r34627;
        double r34629 = r34624 - r34628;
        double r34630 = r34619 + r34625;
        double r34631 = 2.0;
        double r34632 = r34630 - r34631;
        double r34633 = b;
        double r34634 = r34632 * r34633;
        double r34635 = r34629 + r34634;
        return r34635;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r34636 = x;
        double r34637 = y;
        double r34638 = 1.0;
        double r34639 = r34637 - r34638;
        double r34640 = z;
        double r34641 = r34639 * r34640;
        double r34642 = -r34641;
        double r34643 = t;
        double r34644 = r34643 - r34638;
        double r34645 = a;
        double r34646 = r34644 * r34645;
        double r34647 = r34642 - r34646;
        double r34648 = r34637 + r34643;
        double r34649 = 2.0;
        double r34650 = r34648 - r34649;
        double r34651 = b;
        double r34652 = r34650 * r34651;
        double r34653 = r34647 + r34652;
        double r34654 = r34636 + 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 sub-neg0.0

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

  4. Applied associate--l+0.0

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

  5. Applied associate-+l+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 
(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)))