Average Error: 0.1 → 0.1
Time: 6.7s
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 r216731 = x;
        double r216732 = y;
        double r216733 = r216731 * r216732;
        double r216734 = z;
        double r216735 = t;
        double r216736 = r216734 * r216735;
        double r216737 = 16.0;
        double r216738 = r216736 / r216737;
        double r216739 = r216733 + r216738;
        double r216740 = a;
        double r216741 = b;
        double r216742 = r216740 * r216741;
        double r216743 = 4.0;
        double r216744 = r216742 / r216743;
        double r216745 = r216739 - r216744;
        double r216746 = c;
        double r216747 = r216745 + r216746;
        return r216747;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r216748 = x;
        double r216749 = y;
        double r216750 = r216748 * r216749;
        double r216751 = z;
        double r216752 = t;
        double r216753 = r216751 * r216752;
        double r216754 = 16.0;
        double r216755 = r216753 / r216754;
        double r216756 = r216750 + r216755;
        double r216757 = a;
        double r216758 = b;
        double r216759 = r216757 * r216758;
        double r216760 = 4.0;
        double r216761 = r216759 / r216760;
        double r216762 = r216756 - r216761;
        double r216763 = c;
        double r216764 = r216762 + r216763;
        return r216764;
}

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 2020060 
(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))