Average Error: 0.1 → 0.1
Time: 24.6s
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 r186352 = x;
        double r186353 = y;
        double r186354 = r186352 * r186353;
        double r186355 = z;
        double r186356 = t;
        double r186357 = r186355 * r186356;
        double r186358 = 16.0;
        double r186359 = r186357 / r186358;
        double r186360 = r186354 + r186359;
        double r186361 = a;
        double r186362 = b;
        double r186363 = r186361 * r186362;
        double r186364 = 4.0;
        double r186365 = r186363 / r186364;
        double r186366 = r186360 - r186365;
        double r186367 = c;
        double r186368 = r186366 + r186367;
        return r186368;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r186369 = x;
        double r186370 = y;
        double r186371 = r186369 * r186370;
        double r186372 = z;
        double r186373 = t;
        double r186374 = r186372 * r186373;
        double r186375 = 16.0;
        double r186376 = r186374 / r186375;
        double r186377 = r186371 + r186376;
        double r186378 = a;
        double r186379 = b;
        double r186380 = r186378 * r186379;
        double r186381 = 4.0;
        double r186382 = r186380 / r186381;
        double r186383 = r186377 - r186382;
        double r186384 = c;
        double r186385 = r186383 + r186384;
        return r186385;
}

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 2019325 
(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))