Average Error: 0.0 → 0.0
Time: 5.5s
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 r83013 = x;
        double r83014 = y;
        double r83015 = r83013 * r83014;
        double r83016 = z;
        double r83017 = t;
        double r83018 = r83016 * r83017;
        double r83019 = r83015 + r83018;
        double r83020 = a;
        double r83021 = b;
        double r83022 = r83020 * r83021;
        double r83023 = r83019 + r83022;
        double r83024 = c;
        double r83025 = i;
        double r83026 = r83024 * r83025;
        double r83027 = r83023 + r83026;
        return r83027;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r83028 = x;
        double r83029 = y;
        double r83030 = r83028 * r83029;
        double r83031 = z;
        double r83032 = t;
        double r83033 = r83031 * r83032;
        double r83034 = r83030 + r83033;
        double r83035 = a;
        double r83036 = b;
        double r83037 = r83035 * r83036;
        double r83038 = r83034 + r83037;
        double r83039 = c;
        double r83040 = i;
        double r83041 = r83039 * r83040;
        double r83042 = r83038 + r83041;
        return r83042;
}

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 2020049 
(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)))