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 r165450 = x;
        double r165451 = y;
        double r165452 = r165450 * r165451;
        double r165453 = z;
        double r165454 = t;
        double r165455 = r165453 * r165454;
        double r165456 = 16.0;
        double r165457 = r165455 / r165456;
        double r165458 = r165452 + r165457;
        double r165459 = a;
        double r165460 = b;
        double r165461 = r165459 * r165460;
        double r165462 = 4.0;
        double r165463 = r165461 / r165462;
        double r165464 = r165458 - r165463;
        double r165465 = c;
        double r165466 = r165464 + r165465;
        return r165466;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r165467 = x;
        double r165468 = y;
        double r165469 = r165467 * r165468;
        double r165470 = z;
        double r165471 = t;
        double r165472 = r165470 * r165471;
        double r165473 = 16.0;
        double r165474 = r165472 / r165473;
        double r165475 = r165469 + r165474;
        double r165476 = a;
        double r165477 = b;
        double r165478 = r165476 * r165477;
        double r165479 = 4.0;
        double r165480 = r165478 / r165479;
        double r165481 = r165475 - r165480;
        double r165482 = c;
        double r165483 = r165481 + r165482;
        return r165483;
}

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))