Average Error: 0.1 → 0.1
Time: 9.8s
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 r166425 = x;
        double r166426 = y;
        double r166427 = r166425 * r166426;
        double r166428 = z;
        double r166429 = t;
        double r166430 = r166428 * r166429;
        double r166431 = 16.0;
        double r166432 = r166430 / r166431;
        double r166433 = r166427 + r166432;
        double r166434 = a;
        double r166435 = b;
        double r166436 = r166434 * r166435;
        double r166437 = 4.0;
        double r166438 = r166436 / r166437;
        double r166439 = r166433 - r166438;
        double r166440 = c;
        double r166441 = r166439 + r166440;
        return r166441;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r166442 = x;
        double r166443 = y;
        double r166444 = r166442 * r166443;
        double r166445 = z;
        double r166446 = t;
        double r166447 = r166445 * r166446;
        double r166448 = 16.0;
        double r166449 = r166447 / r166448;
        double r166450 = r166444 + r166449;
        double r166451 = a;
        double r166452 = b;
        double r166453 = r166451 * r166452;
        double r166454 = 4.0;
        double r166455 = r166453 / r166454;
        double r166456 = r166450 - r166455;
        double r166457 = c;
        double r166458 = r166456 + r166457;
        return r166458;
}

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 
(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))