Average Error: 0.1 → 0.1
Time: 8.2s
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 r240284 = x;
        double r240285 = y;
        double r240286 = r240284 * r240285;
        double r240287 = z;
        double r240288 = t;
        double r240289 = r240287 * r240288;
        double r240290 = 16.0;
        double r240291 = r240289 / r240290;
        double r240292 = r240286 + r240291;
        double r240293 = a;
        double r240294 = b;
        double r240295 = r240293 * r240294;
        double r240296 = 4.0;
        double r240297 = r240295 / r240296;
        double r240298 = r240292 - r240297;
        double r240299 = c;
        double r240300 = r240298 + r240299;
        return r240300;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r240301 = x;
        double r240302 = y;
        double r240303 = r240301 * r240302;
        double r240304 = z;
        double r240305 = t;
        double r240306 = r240304 * r240305;
        double r240307 = 16.0;
        double r240308 = r240306 / r240307;
        double r240309 = r240303 + r240308;
        double r240310 = a;
        double r240311 = b;
        double r240312 = r240310 * r240311;
        double r240313 = 4.0;
        double r240314 = r240312 / r240313;
        double r240315 = r240309 - r240314;
        double r240316 = c;
        double r240317 = r240315 + r240316;
        return r240317;
}

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 2019353 
(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))