Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r74333 = x;
        double r74334 = y;
        double r74335 = r74333 * r74334;
        double r74336 = z;
        double r74337 = t;
        double r74338 = r74336 * r74337;
        double r74339 = r74335 + r74338;
        double r74340 = a;
        double r74341 = b;
        double r74342 = r74340 * r74341;
        double r74343 = r74339 + r74342;
        double r74344 = c;
        double r74345 = i;
        double r74346 = r74344 * r74345;
        double r74347 = r74343 + r74346;
        return r74347;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r74348 = x;
        double r74349 = y;
        double r74350 = r74348 * r74349;
        double r74351 = z;
        double r74352 = t;
        double r74353 = r74351 * r74352;
        double r74354 = r74350 + r74353;
        double r74355 = a;
        double r74356 = b;
        double r74357 = r74355 * r74356;
        double r74358 = r74354 + r74357;
        double r74359 = c;
        double r74360 = i;
        double r74361 = r74359 * r74360;
        double r74362 = r74358 + r74361;
        return r74362;
}

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

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

Reproduce

herbie shell --seed 2020083 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))