Average Error: 0.0 → 0.0
Time: 5.4s
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 r80446 = x;
        double r80447 = y;
        double r80448 = r80446 * r80447;
        double r80449 = z;
        double r80450 = t;
        double r80451 = r80449 * r80450;
        double r80452 = r80448 + r80451;
        double r80453 = a;
        double r80454 = b;
        double r80455 = r80453 * r80454;
        double r80456 = r80452 + r80455;
        double r80457 = c;
        double r80458 = i;
        double r80459 = r80457 * r80458;
        double r80460 = r80456 + r80459;
        return r80460;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80461 = x;
        double r80462 = y;
        double r80463 = r80461 * r80462;
        double r80464 = z;
        double r80465 = t;
        double r80466 = r80464 * r80465;
        double r80467 = r80463 + r80466;
        double r80468 = a;
        double r80469 = b;
        double r80470 = r80468 * r80469;
        double r80471 = r80467 + r80470;
        double r80472 = c;
        double r80473 = i;
        double r80474 = r80472 * r80473;
        double r80475 = r80471 + r80474;
        return r80475;
}

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 2020065 
(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)))