Average Error: 0.0 → 0.0
Time: 3.8m
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3587352 = x;
        double r3587353 = y;
        double r3587354 = r3587352 * r3587353;
        double r3587355 = z;
        double r3587356 = t;
        double r3587357 = r3587355 * r3587356;
        double r3587358 = r3587354 + r3587357;
        double r3587359 = a;
        double r3587360 = b;
        double r3587361 = r3587359 * r3587360;
        double r3587362 = r3587358 + r3587361;
        double r3587363 = c;
        double r3587364 = i;
        double r3587365 = r3587363 * r3587364;
        double r3587366 = r3587362 + r3587365;
        return r3587366;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3587367 = c;
        double r3587368 = i;
        double r3587369 = r3587367 * r3587368;
        double r3587370 = z;
        double r3587371 = t;
        double r3587372 = r3587370 * r3587371;
        double r3587373 = x;
        double r3587374 = y;
        double r3587375 = r3587373 * r3587374;
        double r3587376 = r3587372 + r3587375;
        double r3587377 = a;
        double r3587378 = b;
        double r3587379 = r3587377 * r3587378;
        double r3587380 = r3587376 + r3587379;
        double r3587381 = r3587369 + r3587380;
        return r3587381;
}

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

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Final simplification0.0

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))