Average Error: 0.1 → 0.1
Time: 11.5s
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 r249867 = x;
        double r249868 = y;
        double r249869 = r249867 * r249868;
        double r249870 = z;
        double r249871 = t;
        double r249872 = r249870 * r249871;
        double r249873 = 16.0;
        double r249874 = r249872 / r249873;
        double r249875 = r249869 + r249874;
        double r249876 = a;
        double r249877 = b;
        double r249878 = r249876 * r249877;
        double r249879 = 4.0;
        double r249880 = r249878 / r249879;
        double r249881 = r249875 - r249880;
        double r249882 = c;
        double r249883 = r249881 + r249882;
        return r249883;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r249884 = x;
        double r249885 = y;
        double r249886 = r249884 * r249885;
        double r249887 = z;
        double r249888 = t;
        double r249889 = r249887 * r249888;
        double r249890 = 16.0;
        double r249891 = r249889 / r249890;
        double r249892 = r249886 + r249891;
        double r249893 = a;
        double r249894 = b;
        double r249895 = r249893 * r249894;
        double r249896 = 4.0;
        double r249897 = r249895 / r249896;
        double r249898 = r249892 - r249897;
        double r249899 = c;
        double r249900 = r249898 + r249899;
        return r249900;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(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))