Average Error: 0.2 → 0.2
Time: 13.1s
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 r240535 = x;
        double r240536 = y;
        double r240537 = r240535 * r240536;
        double r240538 = z;
        double r240539 = t;
        double r240540 = r240538 * r240539;
        double r240541 = 16.0;
        double r240542 = r240540 / r240541;
        double r240543 = r240537 + r240542;
        double r240544 = a;
        double r240545 = b;
        double r240546 = r240544 * r240545;
        double r240547 = 4.0;
        double r240548 = r240546 / r240547;
        double r240549 = r240543 - r240548;
        double r240550 = c;
        double r240551 = r240549 + r240550;
        return r240551;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r240552 = x;
        double r240553 = y;
        double r240554 = r240552 * r240553;
        double r240555 = z;
        double r240556 = t;
        double r240557 = r240555 * r240556;
        double r240558 = 16.0;
        double r240559 = r240557 / r240558;
        double r240560 = r240554 + r240559;
        double r240561 = a;
        double r240562 = b;
        double r240563 = r240561 * r240562;
        double r240564 = 4.0;
        double r240565 = r240563 / r240564;
        double r240566 = r240560 - r240565;
        double r240567 = c;
        double r240568 = r240566 + r240567;
        return r240568;
}

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 2020001 
(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))