Average Error: 0.0 → 0.0
Time: 18.9s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3597394 = x;
        double r3597395 = y;
        double r3597396 = r3597394 * r3597395;
        double r3597397 = z;
        double r3597398 = t;
        double r3597399 = r3597397 * r3597398;
        double r3597400 = r3597396 + r3597399;
        double r3597401 = a;
        double r3597402 = b;
        double r3597403 = r3597401 * r3597402;
        double r3597404 = r3597400 + r3597403;
        double r3597405 = c;
        double r3597406 = i;
        double r3597407 = r3597405 * r3597406;
        double r3597408 = r3597404 + r3597407;
        return r3597408;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3597409 = c;
        double r3597410 = i;
        double r3597411 = r3597409 * r3597410;
        double r3597412 = z;
        double r3597413 = t;
        double r3597414 = r3597412 * r3597413;
        double r3597415 = x;
        double r3597416 = y;
        double r3597417 = r3597415 * r3597416;
        double r3597418 = r3597414 + r3597417;
        double r3597419 = a;
        double r3597420 = b;
        double r3597421 = r3597419 * r3597420;
        double r3597422 = r3597418 + r3597421;
        double r3597423 = r3597411 + r3597422;
        return r3597423;
}

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

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

Reproduce

herbie shell --seed 2019164 
(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)))