Average Error: 0.1 → 0.1
Time: 1.6s
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 r163864 = x;
        double r163865 = y;
        double r163866 = r163864 * r163865;
        double r163867 = z;
        double r163868 = t;
        double r163869 = r163867 * r163868;
        double r163870 = 16.0;
        double r163871 = r163869 / r163870;
        double r163872 = r163866 + r163871;
        double r163873 = a;
        double r163874 = b;
        double r163875 = r163873 * r163874;
        double r163876 = 4.0;
        double r163877 = r163875 / r163876;
        double r163878 = r163872 - r163877;
        double r163879 = c;
        double r163880 = r163878 + r163879;
        return r163880;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r163881 = x;
        double r163882 = y;
        double r163883 = r163881 * r163882;
        double r163884 = z;
        double r163885 = t;
        double r163886 = r163884 * r163885;
        double r163887 = 16.0;
        double r163888 = r163886 / r163887;
        double r163889 = r163883 + r163888;
        double r163890 = a;
        double r163891 = b;
        double r163892 = r163890 * r163891;
        double r163893 = 4.0;
        double r163894 = r163892 / r163893;
        double r163895 = r163889 - r163894;
        double r163896 = c;
        double r163897 = r163895 + r163896;
        return r163897;
}

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 2020024 
(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))