Average Error: 0.0 → 0.0
Time: 16.1s
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 r111064 = x;
        double r111065 = y;
        double r111066 = r111064 * r111065;
        double r111067 = z;
        double r111068 = t;
        double r111069 = r111067 * r111068;
        double r111070 = r111066 + r111069;
        double r111071 = a;
        double r111072 = b;
        double r111073 = r111071 * r111072;
        double r111074 = r111070 + r111073;
        double r111075 = c;
        double r111076 = i;
        double r111077 = r111075 * r111076;
        double r111078 = r111074 + r111077;
        return r111078;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r111079 = x;
        double r111080 = y;
        double r111081 = r111079 * r111080;
        double r111082 = z;
        double r111083 = t;
        double r111084 = r111082 * r111083;
        double r111085 = r111081 + r111084;
        double r111086 = a;
        double r111087 = b;
        double r111088 = r111086 * r111087;
        double r111089 = r111085 + r111088;
        double r111090 = c;
        double r111091 = i;
        double r111092 = r111090 * r111091;
        double r111093 = r111089 + r111092;
        return r111093;
}

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 2020056 
(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)))