Average Error: 0.1 → 0.1
Time: 6.1s
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 r157767 = x;
        double r157768 = y;
        double r157769 = r157767 * r157768;
        double r157770 = z;
        double r157771 = t;
        double r157772 = r157770 * r157771;
        double r157773 = 16.0;
        double r157774 = r157772 / r157773;
        double r157775 = r157769 + r157774;
        double r157776 = a;
        double r157777 = b;
        double r157778 = r157776 * r157777;
        double r157779 = 4.0;
        double r157780 = r157778 / r157779;
        double r157781 = r157775 - r157780;
        double r157782 = c;
        double r157783 = r157781 + r157782;
        return r157783;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r157784 = x;
        double r157785 = y;
        double r157786 = r157784 * r157785;
        double r157787 = z;
        double r157788 = t;
        double r157789 = r157787 * r157788;
        double r157790 = 16.0;
        double r157791 = r157789 / r157790;
        double r157792 = r157786 + r157791;
        double r157793 = a;
        double r157794 = b;
        double r157795 = r157793 * r157794;
        double r157796 = 4.0;
        double r157797 = r157795 / r157796;
        double r157798 = r157792 - r157797;
        double r157799 = c;
        double r157800 = r157798 + r157799;
        return r157800;
}

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 2019304 
(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))