Average Error: 0.1 → 0.1
Time: 6.4s
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 r271824 = x;
        double r271825 = y;
        double r271826 = r271824 * r271825;
        double r271827 = z;
        double r271828 = t;
        double r271829 = r271827 * r271828;
        double r271830 = 16.0;
        double r271831 = r271829 / r271830;
        double r271832 = r271826 + r271831;
        double r271833 = a;
        double r271834 = b;
        double r271835 = r271833 * r271834;
        double r271836 = 4.0;
        double r271837 = r271835 / r271836;
        double r271838 = r271832 - r271837;
        double r271839 = c;
        double r271840 = r271838 + r271839;
        return r271840;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r271841 = x;
        double r271842 = y;
        double r271843 = r271841 * r271842;
        double r271844 = z;
        double r271845 = t;
        double r271846 = r271844 * r271845;
        double r271847 = 16.0;
        double r271848 = r271846 / r271847;
        double r271849 = r271843 + r271848;
        double r271850 = a;
        double r271851 = b;
        double r271852 = r271850 * r271851;
        double r271853 = 4.0;
        double r271854 = r271852 / r271853;
        double r271855 = r271849 - r271854;
        double r271856 = c;
        double r271857 = r271855 + r271856;
        return r271857;
}

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 2020035 
(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))