Average Error: 0.0 → 0.0
Time: 2.3m
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 r134479 = x;
        double r134480 = y;
        double r134481 = r134479 * r134480;
        double r134482 = z;
        double r134483 = t;
        double r134484 = r134482 * r134483;
        double r134485 = r134481 + r134484;
        double r134486 = a;
        double r134487 = b;
        double r134488 = r134486 * r134487;
        double r134489 = r134485 + r134488;
        double r134490 = c;
        double r134491 = i;
        double r134492 = r134490 * r134491;
        double r134493 = r134489 + r134492;
        return r134493;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r134494 = x;
        double r134495 = y;
        double r134496 = r134494 * r134495;
        double r134497 = z;
        double r134498 = t;
        double r134499 = r134497 * r134498;
        double r134500 = r134496 + r134499;
        double r134501 = a;
        double r134502 = b;
        double r134503 = r134501 * r134502;
        double r134504 = r134500 + r134503;
        double r134505 = c;
        double r134506 = i;
        double r134507 = r134505 * r134506;
        double r134508 = r134504 + r134507;
        return r134508;
}

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 2019294 
(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)))