Average Error: 0.2 → 0.2
Time: 13.2s
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 r156498 = x;
        double r156499 = y;
        double r156500 = r156498 * r156499;
        double r156501 = z;
        double r156502 = t;
        double r156503 = r156501 * r156502;
        double r156504 = 16.0;
        double r156505 = r156503 / r156504;
        double r156506 = r156500 + r156505;
        double r156507 = a;
        double r156508 = b;
        double r156509 = r156507 * r156508;
        double r156510 = 4.0;
        double r156511 = r156509 / r156510;
        double r156512 = r156506 - r156511;
        double r156513 = c;
        double r156514 = r156512 + r156513;
        return r156514;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r156515 = x;
        double r156516 = y;
        double r156517 = r156515 * r156516;
        double r156518 = z;
        double r156519 = t;
        double r156520 = r156518 * r156519;
        double r156521 = 16.0;
        double r156522 = r156520 / r156521;
        double r156523 = r156517 + r156522;
        double r156524 = a;
        double r156525 = b;
        double r156526 = r156524 * r156525;
        double r156527 = 4.0;
        double r156528 = r156526 / r156527;
        double r156529 = r156523 - r156528;
        double r156530 = c;
        double r156531 = r156529 + r156530;
        return r156531;
}

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 0.2

    \[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

  2. Final simplification0.2

    \[\leadsto \left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

Reproduce

herbie shell --seed 2019322 
(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))