Average Error: 0.0 → 0.0
Time: 20.9s
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 r120040 = x;
        double r120041 = y;
        double r120042 = r120040 * r120041;
        double r120043 = z;
        double r120044 = t;
        double r120045 = r120043 * r120044;
        double r120046 = r120042 + r120045;
        double r120047 = a;
        double r120048 = b;
        double r120049 = r120047 * r120048;
        double r120050 = r120046 + r120049;
        double r120051 = c;
        double r120052 = i;
        double r120053 = r120051 * r120052;
        double r120054 = r120050 + r120053;
        return r120054;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r120055 = x;
        double r120056 = y;
        double r120057 = r120055 * r120056;
        double r120058 = z;
        double r120059 = t;
        double r120060 = r120058 * r120059;
        double r120061 = r120057 + r120060;
        double r120062 = a;
        double r120063 = b;
        double r120064 = r120062 * r120063;
        double r120065 = r120061 + r120064;
        double r120066 = c;
        double r120067 = i;
        double r120068 = r120066 * r120067;
        double r120069 = r120065 + r120068;
        return r120069;
}

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 2019304 
(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)))