Average Error: 0.2 → 0.2
Time: 21.3s
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 r196704 = x;
        double r196705 = y;
        double r196706 = r196704 * r196705;
        double r196707 = z;
        double r196708 = t;
        double r196709 = r196707 * r196708;
        double r196710 = 16.0;
        double r196711 = r196709 / r196710;
        double r196712 = r196706 + r196711;
        double r196713 = a;
        double r196714 = b;
        double r196715 = r196713 * r196714;
        double r196716 = 4.0;
        double r196717 = r196715 / r196716;
        double r196718 = r196712 - r196717;
        double r196719 = c;
        double r196720 = r196718 + r196719;
        return r196720;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r196721 = x;
        double r196722 = y;
        double r196723 = r196721 * r196722;
        double r196724 = z;
        double r196725 = t;
        double r196726 = r196724 * r196725;
        double r196727 = 16.0;
        double r196728 = r196726 / r196727;
        double r196729 = r196723 + r196728;
        double r196730 = a;
        double r196731 = b;
        double r196732 = r196730 * r196731;
        double r196733 = 4.0;
        double r196734 = r196732 / r196733;
        double r196735 = r196729 - r196734;
        double r196736 = c;
        double r196737 = r196735 + r196736;
        return r196737;
}

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 2019294 
(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))