Average Error: 0.0 → 0.0
Time: 5.6s
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 r829447 = x;
        double r829448 = y;
        double r829449 = r829447 * r829448;
        double r829450 = z;
        double r829451 = t;
        double r829452 = r829450 * r829451;
        double r829453 = r829449 + r829452;
        double r829454 = a;
        double r829455 = b;
        double r829456 = r829454 * r829455;
        double r829457 = r829453 + r829456;
        double r829458 = c;
        double r829459 = i;
        double r829460 = r829458 * r829459;
        double r829461 = r829457 + r829460;
        return r829461;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r829462 = c;
        double r829463 = i;
        double r829464 = r829462 * r829463;
        double r829465 = z;
        double r829466 = t;
        double r829467 = r829465 * r829466;
        double r829468 = x;
        double r829469 = y;
        double r829470 = r829468 * r829469;
        double r829471 = r829467 + r829470;
        double r829472 = a;
        double r829473 = b;
        double r829474 = r829472 * r829473;
        double r829475 = r829471 + r829474;
        double r829476 = r829464 + r829475;
        return r829476;
}

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 2019153 
(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)))