Average Error: 0.1 → 0.1
Time: 24.4s
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 r200388 = x;
        double r200389 = y;
        double r200390 = r200388 * r200389;
        double r200391 = z;
        double r200392 = t;
        double r200393 = r200391 * r200392;
        double r200394 = 16.0;
        double r200395 = r200393 / r200394;
        double r200396 = r200390 + r200395;
        double r200397 = a;
        double r200398 = b;
        double r200399 = r200397 * r200398;
        double r200400 = 4.0;
        double r200401 = r200399 / r200400;
        double r200402 = r200396 - r200401;
        double r200403 = c;
        double r200404 = r200402 + r200403;
        return r200404;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r200405 = x;
        double r200406 = y;
        double r200407 = r200405 * r200406;
        double r200408 = z;
        double r200409 = t;
        double r200410 = r200408 * r200409;
        double r200411 = 16.0;
        double r200412 = r200410 / r200411;
        double r200413 = r200407 + r200412;
        double r200414 = a;
        double r200415 = b;
        double r200416 = r200414 * r200415;
        double r200417 = 4.0;
        double r200418 = r200416 / r200417;
        double r200419 = r200413 - r200418;
        double r200420 = c;
        double r200421 = r200419 + r200420;
        return r200421;
}

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 2019323 
(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))