Average Error: 0.2 → 0.2
Time: 21.5s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r202884 = x;
        double r202885 = y;
        double r202886 = r202884 * r202885;
        double r202887 = z;
        double r202888 = t;
        double r202889 = r202887 * r202888;
        double r202890 = 16.0;
        double r202891 = r202889 / r202890;
        double r202892 = r202886 + r202891;
        double r202893 = a;
        double r202894 = b;
        double r202895 = r202893 * r202894;
        double r202896 = 4.0;
        double r202897 = r202895 / r202896;
        double r202898 = r202892 - r202897;
        double r202899 = c;
        double r202900 = r202898 + r202899;
        return r202900;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r202901 = x;
        double r202902 = y;
        double r202903 = r202901 * r202902;
        double r202904 = z;
        double r202905 = t;
        double r202906 = r202904 * r202905;
        double r202907 = 16.0;
        double r202908 = r202906 / r202907;
        double r202909 = r202903 + r202908;
        double r202910 = a;
        double r202911 = b;
        double r202912 = r202910 * r202911;
        double r202913 = 4.0;
        double r202914 = r202912 / r202913;
        double r202915 = r202909 - r202914;
        double r202916 = c;
        double r202917 = r202915 + r202916;
        return r202917;
}

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

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

  2. Final simplification0.2

    \[\leadsto \left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

Reproduce

herbie shell --seed 2019235 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  :precision binary64
  (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c))