Average Error: 0.1 → 0.1
Time: 14.6s
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 r131481 = x;
        double r131482 = y;
        double r131483 = r131481 * r131482;
        double r131484 = z;
        double r131485 = t;
        double r131486 = r131484 * r131485;
        double r131487 = 16.0;
        double r131488 = r131486 / r131487;
        double r131489 = r131483 + r131488;
        double r131490 = a;
        double r131491 = b;
        double r131492 = r131490 * r131491;
        double r131493 = 4.0;
        double r131494 = r131492 / r131493;
        double r131495 = r131489 - r131494;
        double r131496 = c;
        double r131497 = r131495 + r131496;
        return r131497;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r131498 = x;
        double r131499 = y;
        double r131500 = r131498 * r131499;
        double r131501 = z;
        double r131502 = t;
        double r131503 = r131501 * r131502;
        double r131504 = 16.0;
        double r131505 = r131503 / r131504;
        double r131506 = r131500 + r131505;
        double r131507 = a;
        double r131508 = b;
        double r131509 = r131507 * r131508;
        double r131510 = 4.0;
        double r131511 = r131509 / r131510;
        double r131512 = r131506 - r131511;
        double r131513 = c;
        double r131514 = r131512 + r131513;
        return r131514;
}

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 2019304 +o rules:numerics
(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))