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 r244034 = x;
        double r244035 = y;
        double r244036 = r244034 * r244035;
        double r244037 = z;
        double r244038 = t;
        double r244039 = r244037 * r244038;
        double r244040 = r244036 + r244039;
        double r244041 = a;
        double r244042 = b;
        double r244043 = r244041 * r244042;
        double r244044 = r244040 + r244043;
        double r244045 = c;
        double r244046 = i;
        double r244047 = r244045 * r244046;
        double r244048 = r244044 + r244047;
        return r244048;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r244049 = x;
        double r244050 = y;
        double r244051 = r244049 * r244050;
        double r244052 = z;
        double r244053 = t;
        double r244054 = r244052 * r244053;
        double r244055 = r244051 + r244054;
        double r244056 = a;
        double r244057 = b;
        double r244058 = r244056 * r244057;
        double r244059 = r244055 + r244058;
        double r244060 = c;
        double r244061 = i;
        double r244062 = r244060 * r244061;
        double r244063 = r244059 + r244062;
        return r244063;
}

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 2020036 
(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)))