Average Error: 0.0 → 0.0
Time: 1.7s
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 r57501 = x;
        double r57502 = y;
        double r57503 = r57501 * r57502;
        double r57504 = z;
        double r57505 = t;
        double r57506 = r57504 * r57505;
        double r57507 = r57503 + r57506;
        double r57508 = a;
        double r57509 = b;
        double r57510 = r57508 * r57509;
        double r57511 = r57507 + r57510;
        double r57512 = c;
        double r57513 = i;
        double r57514 = r57512 * r57513;
        double r57515 = r57511 + r57514;
        return r57515;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r57516 = x;
        double r57517 = y;
        double r57518 = r57516 * r57517;
        double r57519 = z;
        double r57520 = t;
        double r57521 = r57519 * r57520;
        double r57522 = r57518 + r57521;
        double r57523 = a;
        double r57524 = b;
        double r57525 = r57523 * r57524;
        double r57526 = r57522 + r57525;
        double r57527 = c;
        double r57528 = i;
        double r57529 = r57527 * r57528;
        double r57530 = r57526 + r57529;
        return r57530;
}

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 2019356 
(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)))