Average Error: 0.2 → 0.2
Time: 13.7s
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 r219837 = x;
        double r219838 = y;
        double r219839 = r219837 * r219838;
        double r219840 = z;
        double r219841 = t;
        double r219842 = r219840 * r219841;
        double r219843 = 16.0;
        double r219844 = r219842 / r219843;
        double r219845 = r219839 + r219844;
        double r219846 = a;
        double r219847 = b;
        double r219848 = r219846 * r219847;
        double r219849 = 4.0;
        double r219850 = r219848 / r219849;
        double r219851 = r219845 - r219850;
        double r219852 = c;
        double r219853 = r219851 + r219852;
        return r219853;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r219854 = x;
        double r219855 = y;
        double r219856 = r219854 * r219855;
        double r219857 = z;
        double r219858 = t;
        double r219859 = r219857 * r219858;
        double r219860 = 16.0;
        double r219861 = r219859 / r219860;
        double r219862 = r219856 + r219861;
        double r219863 = a;
        double r219864 = b;
        double r219865 = r219863 * r219864;
        double r219866 = 4.0;
        double r219867 = r219865 / r219866;
        double r219868 = r219862 - r219867;
        double r219869 = c;
        double r219870 = r219868 + r219869;
        return r219870;
}

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 2020001 
(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))