Average Error: 0.0 → 0.0
Time: 6.4s
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 r111368 = x;
        double r111369 = y;
        double r111370 = r111368 * r111369;
        double r111371 = z;
        double r111372 = t;
        double r111373 = r111371 * r111372;
        double r111374 = r111370 + r111373;
        double r111375 = a;
        double r111376 = b;
        double r111377 = r111375 * r111376;
        double r111378 = r111374 + r111377;
        double r111379 = c;
        double r111380 = i;
        double r111381 = r111379 * r111380;
        double r111382 = r111378 + r111381;
        return r111382;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r111383 = x;
        double r111384 = y;
        double r111385 = r111383 * r111384;
        double r111386 = z;
        double r111387 = t;
        double r111388 = r111386 * r111387;
        double r111389 = r111385 + r111388;
        double r111390 = a;
        double r111391 = b;
        double r111392 = r111390 * r111391;
        double r111393 = r111389 + r111392;
        double r111394 = c;
        double r111395 = i;
        double r111396 = r111394 * r111395;
        double r111397 = r111393 + r111396;
        return r111397;
}

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 2020002 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))