Average Error: 0.1 → 0.1
Time: 6.5s
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 r217304 = x;
        double r217305 = y;
        double r217306 = r217304 * r217305;
        double r217307 = z;
        double r217308 = t;
        double r217309 = r217307 * r217308;
        double r217310 = 16.0;
        double r217311 = r217309 / r217310;
        double r217312 = r217306 + r217311;
        double r217313 = a;
        double r217314 = b;
        double r217315 = r217313 * r217314;
        double r217316 = 4.0;
        double r217317 = r217315 / r217316;
        double r217318 = r217312 - r217317;
        double r217319 = c;
        double r217320 = r217318 + r217319;
        return r217320;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r217321 = x;
        double r217322 = y;
        double r217323 = r217321 * r217322;
        double r217324 = z;
        double r217325 = t;
        double r217326 = r217324 * r217325;
        double r217327 = 16.0;
        double r217328 = r217326 / r217327;
        double r217329 = r217323 + r217328;
        double r217330 = a;
        double r217331 = b;
        double r217332 = r217330 * r217331;
        double r217333 = 4.0;
        double r217334 = r217332 / r217333;
        double r217335 = r217329 - r217334;
        double r217336 = c;
        double r217337 = r217335 + r217336;
        return r217337;
}

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 2020060 
(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))