Average Error: 0.0 → 0.0
Time: 17.2s
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 r2854455 = x;
        double r2854456 = y;
        double r2854457 = r2854455 * r2854456;
        double r2854458 = z;
        double r2854459 = t;
        double r2854460 = r2854458 * r2854459;
        double r2854461 = r2854457 + r2854460;
        double r2854462 = a;
        double r2854463 = b;
        double r2854464 = r2854462 * r2854463;
        double r2854465 = r2854461 + r2854464;
        double r2854466 = c;
        double r2854467 = i;
        double r2854468 = r2854466 * r2854467;
        double r2854469 = r2854465 + r2854468;
        return r2854469;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2854470 = c;
        double r2854471 = i;
        double r2854472 = r2854470 * r2854471;
        double r2854473 = z;
        double r2854474 = t;
        double r2854475 = r2854473 * r2854474;
        double r2854476 = x;
        double r2854477 = y;
        double r2854478 = r2854476 * r2854477;
        double r2854479 = r2854475 + r2854478;
        double r2854480 = a;
        double r2854481 = b;
        double r2854482 = r2854480 * r2854481;
        double r2854483 = r2854479 + r2854482;
        double r2854484 = r2854472 + r2854483;
        return r2854484;
}

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 2019149 
(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)))