Average Error: 0.1 → 0.1
Time: 7.1s
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 r213595 = x;
        double r213596 = y;
        double r213597 = r213595 * r213596;
        double r213598 = z;
        double r213599 = t;
        double r213600 = r213598 * r213599;
        double r213601 = 16.0;
        double r213602 = r213600 / r213601;
        double r213603 = r213597 + r213602;
        double r213604 = a;
        double r213605 = b;
        double r213606 = r213604 * r213605;
        double r213607 = 4.0;
        double r213608 = r213606 / r213607;
        double r213609 = r213603 - r213608;
        double r213610 = c;
        double r213611 = r213609 + r213610;
        return r213611;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r213612 = x;
        double r213613 = y;
        double r213614 = r213612 * r213613;
        double r213615 = z;
        double r213616 = t;
        double r213617 = r213615 * r213616;
        double r213618 = 16.0;
        double r213619 = r213617 / r213618;
        double r213620 = r213614 + r213619;
        double r213621 = a;
        double r213622 = b;
        double r213623 = r213621 * r213622;
        double r213624 = 4.0;
        double r213625 = r213623 / r213624;
        double r213626 = r213620 - r213625;
        double r213627 = c;
        double r213628 = r213626 + r213627;
        return r213628;
}

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 2019354 
(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))