Average Error: 0.0 → 0.0
Time: 21.6s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[b \cdot \left(-2\right) + \left(x - \left(\left(\left(t - 1\right) \cdot a - \left(y + t\right) \cdot b\right) + \left(y - 1\right) \cdot z\right)\right)\]
\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
↓
b \cdot \left(-2\right) + \left(x - \left(\left(\left(t - 1\right) \cdot a - \left(y + t\right) \cdot b\right) + \left(y - 1\right) \cdot z\right)\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r50970 = x;
        double r50971 = y;
        double r50972 = 1.0;
        double r50973 = r50971 - r50972;
        double r50974 = z;
        double r50975 = r50973 * r50974;
        double r50976 = r50970 - r50975;
        double r50977 = t;
        double r50978 = r50977 - r50972;
        double r50979 = a;
        double r50980 = r50978 * r50979;
        double r50981 = r50976 - r50980;
        double r50982 = r50971 + r50977;
        double r50983 = 2.0;
        double r50984 = r50982 - r50983;
        double r50985 = b;
        double r50986 = r50984 * r50985;
        double r50987 = r50981 + r50986;
        return r50987;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r50988 = b;
        double r50989 = 2.0;
        double r50990 = -r50989;
        double r50991 = r50988 * r50990;
        double r50992 = x;
        double r50993 = t;
        double r50994 = 1.0;
        double r50995 = r50993 - r50994;
        double r50996 = a;
        double r50997 = r50995 * r50996;
        double r50998 = y;
        double r50999 = r50998 + r50993;
        double r51000 = r50999 * r50988;
        double r51001 = r50997 - r51000;
        double r51002 = r50998 - r50994;
        double r51003 = z;
        double r51004 = r51002 * r51003;
        double r51005 = r51001 + r51004;
        double r51006 = r50992 - r51005;
        double r51007 = r50991 + r51006;
        return r51007;
}

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. Simplified0.0

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

  4. Applied sub-neg0.0

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

  5. Applied distribute-rgt-in0.0

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

  6. Applied associate-+r+0.0

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

  7. Simplified0.0

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

  8. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(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)))