Average Error: 0.1 → 0.1
Time: 4.2s
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 r299373 = x;
        double r299374 = y;
        double r299375 = r299373 * r299374;
        double r299376 = z;
        double r299377 = t;
        double r299378 = r299376 * r299377;
        double r299379 = 16.0;
        double r299380 = r299378 / r299379;
        double r299381 = r299375 + r299380;
        double r299382 = a;
        double r299383 = b;
        double r299384 = r299382 * r299383;
        double r299385 = 4.0;
        double r299386 = r299384 / r299385;
        double r299387 = r299381 - r299386;
        double r299388 = c;
        double r299389 = r299387 + r299388;
        return r299389;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r299390 = x;
        double r299391 = y;
        double r299392 = r299390 * r299391;
        double r299393 = z;
        double r299394 = t;
        double r299395 = r299393 * r299394;
        double r299396 = 16.0;
        double r299397 = r299395 / r299396;
        double r299398 = r299392 + r299397;
        double r299399 = a;
        double r299400 = b;
        double r299401 = r299399 * r299400;
        double r299402 = 4.0;
        double r299403 = r299401 / r299402;
        double r299404 = r299398 - r299403;
        double r299405 = c;
        double r299406 = r299404 + r299405;
        return r299406;
}

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 2020065 
(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))