Average Error: 0.0 → 0.0
Time: 33.1s
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 r5067047 = x;
        double r5067048 = y;
        double r5067049 = r5067047 * r5067048;
        double r5067050 = z;
        double r5067051 = t;
        double r5067052 = r5067050 * r5067051;
        double r5067053 = r5067049 + r5067052;
        double r5067054 = a;
        double r5067055 = b;
        double r5067056 = r5067054 * r5067055;
        double r5067057 = r5067053 + r5067056;
        double r5067058 = c;
        double r5067059 = i;
        double r5067060 = r5067058 * r5067059;
        double r5067061 = r5067057 + r5067060;
        return r5067061;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r5067062 = c;
        double r5067063 = i;
        double r5067064 = r5067062 * r5067063;
        double r5067065 = z;
        double r5067066 = t;
        double r5067067 = r5067065 * r5067066;
        double r5067068 = x;
        double r5067069 = y;
        double r5067070 = r5067068 * r5067069;
        double r5067071 = r5067067 + r5067070;
        double r5067072 = a;
        double r5067073 = b;
        double r5067074 = r5067072 * r5067073;
        double r5067075 = r5067071 + r5067074;
        double r5067076 = r5067064 + r5067075;
        return r5067076;
}

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 2019172 
(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)))