Average Error: 0.0 → 0.0
Time: 18.1s
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 r176063 = x;
        double r176064 = y;
        double r176065 = r176063 * r176064;
        double r176066 = z;
        double r176067 = t;
        double r176068 = r176066 * r176067;
        double r176069 = r176065 + r176068;
        double r176070 = a;
        double r176071 = b;
        double r176072 = r176070 * r176071;
        double r176073 = r176069 + r176072;
        double r176074 = c;
        double r176075 = i;
        double r176076 = r176074 * r176075;
        double r176077 = r176073 + r176076;
        return r176077;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r176078 = x;
        double r176079 = y;
        double r176080 = r176078 * r176079;
        double r176081 = z;
        double r176082 = t;
        double r176083 = r176081 * r176082;
        double r176084 = r176080 + r176083;
        double r176085 = a;
        double r176086 = b;
        double r176087 = r176085 * r176086;
        double r176088 = r176084 + r176087;
        double r176089 = c;
        double r176090 = i;
        double r176091 = r176089 * r176090;
        double r176092 = r176088 + r176091;
        return r176092;
}

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 2020047 
(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)))