Average Error: 0.1 → 0.1
Time: 24.2s
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 r169417 = x;
        double r169418 = y;
        double r169419 = r169417 * r169418;
        double r169420 = z;
        double r169421 = t;
        double r169422 = r169420 * r169421;
        double r169423 = 16.0;
        double r169424 = r169422 / r169423;
        double r169425 = r169419 + r169424;
        double r169426 = a;
        double r169427 = b;
        double r169428 = r169426 * r169427;
        double r169429 = 4.0;
        double r169430 = r169428 / r169429;
        double r169431 = r169425 - r169430;
        double r169432 = c;
        double r169433 = r169431 + r169432;
        return r169433;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r169434 = x;
        double r169435 = y;
        double r169436 = r169434 * r169435;
        double r169437 = z;
        double r169438 = t;
        double r169439 = r169437 * r169438;
        double r169440 = 16.0;
        double r169441 = r169439 / r169440;
        double r169442 = r169436 + r169441;
        double r169443 = a;
        double r169444 = b;
        double r169445 = r169443 * r169444;
        double r169446 = 4.0;
        double r169447 = r169445 / r169446;
        double r169448 = r169442 - r169447;
        double r169449 = c;
        double r169450 = r169448 + r169449;
        return r169450;
}

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 2019199 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))