Average Error: 0.1 → 0.1
Time: 11.2s
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 r254537 = x;
        double r254538 = y;
        double r254539 = r254537 * r254538;
        double r254540 = z;
        double r254541 = t;
        double r254542 = r254540 * r254541;
        double r254543 = 16.0;
        double r254544 = r254542 / r254543;
        double r254545 = r254539 + r254544;
        double r254546 = a;
        double r254547 = b;
        double r254548 = r254546 * r254547;
        double r254549 = 4.0;
        double r254550 = r254548 / r254549;
        double r254551 = r254545 - r254550;
        double r254552 = c;
        double r254553 = r254551 + r254552;
        return r254553;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r254554 = x;
        double r254555 = y;
        double r254556 = r254554 * r254555;
        double r254557 = z;
        double r254558 = t;
        double r254559 = r254557 * r254558;
        double r254560 = 16.0;
        double r254561 = r254559 / r254560;
        double r254562 = r254556 + r254561;
        double r254563 = a;
        double r254564 = b;
        double r254565 = r254563 * r254564;
        double r254566 = 4.0;
        double r254567 = r254565 / r254566;
        double r254568 = r254562 - r254567;
        double r254569 = c;
        double r254570 = r254568 + r254569;
        return r254570;
}

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 2019350 
(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))