Average Error: 0.0 → 0.0
Time: 14.1s
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 r88480 = x;
        double r88481 = y;
        double r88482 = r88480 * r88481;
        double r88483 = z;
        double r88484 = t;
        double r88485 = r88483 * r88484;
        double r88486 = r88482 + r88485;
        double r88487 = a;
        double r88488 = b;
        double r88489 = r88487 * r88488;
        double r88490 = r88486 + r88489;
        double r88491 = c;
        double r88492 = i;
        double r88493 = r88491 * r88492;
        double r88494 = r88490 + r88493;
        return r88494;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r88495 = x;
        double r88496 = y;
        double r88497 = r88495 * r88496;
        double r88498 = z;
        double r88499 = t;
        double r88500 = r88498 * r88499;
        double r88501 = r88497 + r88500;
        double r88502 = a;
        double r88503 = b;
        double r88504 = r88502 * r88503;
        double r88505 = r88501 + r88504;
        double r88506 = c;
        double r88507 = i;
        double r88508 = r88506 * r88507;
        double r88509 = r88505 + r88508;
        return r88509;
}

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 2019298 
(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)))