Average Error: 0.2 → 0.2
Time: 22.0s
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 r186715 = x;
        double r186716 = y;
        double r186717 = r186715 * r186716;
        double r186718 = z;
        double r186719 = t;
        double r186720 = r186718 * r186719;
        double r186721 = 16.0;
        double r186722 = r186720 / r186721;
        double r186723 = r186717 + r186722;
        double r186724 = a;
        double r186725 = b;
        double r186726 = r186724 * r186725;
        double r186727 = 4.0;
        double r186728 = r186726 / r186727;
        double r186729 = r186723 - r186728;
        double r186730 = c;
        double r186731 = r186729 + r186730;
        return r186731;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r186732 = x;
        double r186733 = y;
        double r186734 = r186732 * r186733;
        double r186735 = z;
        double r186736 = t;
        double r186737 = r186735 * r186736;
        double r186738 = 16.0;
        double r186739 = r186737 / r186738;
        double r186740 = r186734 + r186739;
        double r186741 = a;
        double r186742 = b;
        double r186743 = r186741 * r186742;
        double r186744 = 4.0;
        double r186745 = r186743 / r186744;
        double r186746 = r186740 - r186745;
        double r186747 = c;
        double r186748 = r186746 + r186747;
        return r186748;
}

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 2019297 
(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))