Average Error: 0.1 → 0.1
Time: 10.1s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(\frac{z \cdot t}{16} + x \cdot y\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(\left(\frac{z \cdot t}{16} + x \cdot y\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 r166843 = x;
        double r166844 = y;
        double r166845 = r166843 * r166844;
        double r166846 = z;
        double r166847 = t;
        double r166848 = r166846 * r166847;
        double r166849 = 16.0;
        double r166850 = r166848 / r166849;
        double r166851 = r166845 + r166850;
        double r166852 = a;
        double r166853 = b;
        double r166854 = r166852 * r166853;
        double r166855 = 4.0;
        double r166856 = r166854 / r166855;
        double r166857 = r166851 - r166856;
        double r166858 = c;
        double r166859 = r166857 + r166858;
        return r166859;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r166860 = z;
        double r166861 = t;
        double r166862 = r166860 * r166861;
        double r166863 = 16.0;
        double r166864 = r166862 / r166863;
        double r166865 = x;
        double r166866 = y;
        double r166867 = r166865 * r166866;
        double r166868 = r166864 + r166867;
        double r166869 = a;
        double r166870 = b;
        double r166871 = r166869 * r166870;
        double r166872 = 4.0;
        double r166873 = r166871 / r166872;
        double r166874 = r166868 - r166873;
        double r166875 = c;
        double r166876 = r166874 + r166875;
        return r166876;
}

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

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))