Average Error: 0.0 → 0.0
Time: 17.1s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(c \cdot i + \left(b \cdot a + x \cdot y\right)\right) + z \cdot t\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(c \cdot i + \left(b \cdot a + x \cdot y\right)\right) + z \cdot t
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r87350 = x;
        double r87351 = y;
        double r87352 = r87350 * r87351;
        double r87353 = z;
        double r87354 = t;
        double r87355 = r87353 * r87354;
        double r87356 = r87352 + r87355;
        double r87357 = a;
        double r87358 = b;
        double r87359 = r87357 * r87358;
        double r87360 = r87356 + r87359;
        double r87361 = c;
        double r87362 = i;
        double r87363 = r87361 * r87362;
        double r87364 = r87360 + r87363;
        return r87364;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r87365 = c;
        double r87366 = i;
        double r87367 = r87365 * r87366;
        double r87368 = b;
        double r87369 = a;
        double r87370 = r87368 * r87369;
        double r87371 = x;
        double r87372 = y;
        double r87373 = r87371 * r87372;
        double r87374 = r87370 + r87373;
        double r87375 = r87367 + r87374;
        double r87376 = z;
        double r87377 = t;
        double r87378 = r87376 * r87377;
        double r87379 = r87375 + r87378;
        return r87379;
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(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)))