Average Error: 0.1 → 0.1
Time: 11.2s
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 r276595 = x;
        double r276596 = y;
        double r276597 = r276595 * r276596;
        double r276598 = z;
        double r276599 = t;
        double r276600 = r276598 * r276599;
        double r276601 = 16.0;
        double r276602 = r276600 / r276601;
        double r276603 = r276597 + r276602;
        double r276604 = a;
        double r276605 = b;
        double r276606 = r276604 * r276605;
        double r276607 = 4.0;
        double r276608 = r276606 / r276607;
        double r276609 = r276603 - r276608;
        double r276610 = c;
        double r276611 = r276609 + r276610;
        return r276611;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r276612 = x;
        double r276613 = y;
        double r276614 = r276612 * r276613;
        double r276615 = z;
        double r276616 = t;
        double r276617 = r276615 * r276616;
        double r276618 = 16.0;
        double r276619 = r276617 / r276618;
        double r276620 = r276614 + r276619;
        double r276621 = a;
        double r276622 = b;
        double r276623 = r276621 * r276622;
        double r276624 = 4.0;
        double r276625 = r276623 / r276624;
        double r276626 = r276620 - r276625;
        double r276627 = c;
        double r276628 = r276626 + r276627;
        return r276628;
}

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 2020047 
(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))