Average Error: 0.0 → 0.0
Time: 11.4s
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 r96548 = x;
        double r96549 = y;
        double r96550 = r96548 * r96549;
        double r96551 = z;
        double r96552 = t;
        double r96553 = r96551 * r96552;
        double r96554 = r96550 + r96553;
        double r96555 = a;
        double r96556 = b;
        double r96557 = r96555 * r96556;
        double r96558 = r96554 + r96557;
        double r96559 = c;
        double r96560 = i;
        double r96561 = r96559 * r96560;
        double r96562 = r96558 + r96561;
        return r96562;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r96563 = x;
        double r96564 = y;
        double r96565 = r96563 * r96564;
        double r96566 = z;
        double r96567 = t;
        double r96568 = r96566 * r96567;
        double r96569 = r96565 + r96568;
        double r96570 = a;
        double r96571 = b;
        double r96572 = r96570 * r96571;
        double r96573 = r96569 + r96572;
        double r96574 = c;
        double r96575 = i;
        double r96576 = r96574 * r96575;
        double r96577 = r96573 + r96576;
        return r96577;
}

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 2020062 
(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)))