Average Error: 0.0 → 0.0
Time: 17.4s
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 r141335 = x;
        double r141336 = y;
        double r141337 = r141335 * r141336;
        double r141338 = z;
        double r141339 = t;
        double r141340 = r141338 * r141339;
        double r141341 = r141337 + r141340;
        double r141342 = a;
        double r141343 = b;
        double r141344 = r141342 * r141343;
        double r141345 = r141341 + r141344;
        double r141346 = c;
        double r141347 = i;
        double r141348 = r141346 * r141347;
        double r141349 = r141345 + r141348;
        return r141349;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r141350 = c;
        double r141351 = i;
        double r141352 = r141350 * r141351;
        double r141353 = b;
        double r141354 = a;
        double r141355 = r141353 * r141354;
        double r141356 = x;
        double r141357 = y;
        double r141358 = r141356 * r141357;
        double r141359 = r141355 + r141358;
        double r141360 = r141352 + r141359;
        double r141361 = z;
        double r141362 = t;
        double r141363 = r141361 * r141362;
        double r141364 = r141360 + r141363;
        return r141364;
}

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, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))