Average Error: 0.0 → 0.0
Time: 7.7s
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 r78487 = x;
        double r78488 = y;
        double r78489 = r78487 * r78488;
        double r78490 = z;
        double r78491 = t;
        double r78492 = r78490 * r78491;
        double r78493 = r78489 + r78492;
        double r78494 = a;
        double r78495 = b;
        double r78496 = r78494 * r78495;
        double r78497 = r78493 + r78496;
        double r78498 = c;
        double r78499 = i;
        double r78500 = r78498 * r78499;
        double r78501 = r78497 + r78500;
        return r78501;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r78502 = x;
        double r78503 = y;
        double r78504 = r78502 * r78503;
        double r78505 = z;
        double r78506 = t;
        double r78507 = r78505 * r78506;
        double r78508 = r78504 + r78507;
        double r78509 = a;
        double r78510 = b;
        double r78511 = r78509 * r78510;
        double r78512 = r78508 + r78511;
        double r78513 = c;
        double r78514 = i;
        double r78515 = r78513 * r78514;
        double r78516 = r78512 + r78515;
        return r78516;
}

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 2019323 
(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)))