Average Error: 0.1 → 0.1
Time: 23.9s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(\frac{z \cdot t}{16} + x \cdot y\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(\left(\frac{z \cdot t}{16} + x \cdot y\right) - \frac{a \cdot b}{4}\right) + c
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r180016 = x;
        double r180017 = y;
        double r180018 = r180016 * r180017;
        double r180019 = z;
        double r180020 = t;
        double r180021 = r180019 * r180020;
        double r180022 = 16.0;
        double r180023 = r180021 / r180022;
        double r180024 = r180018 + r180023;
        double r180025 = a;
        double r180026 = b;
        double r180027 = r180025 * r180026;
        double r180028 = 4.0;
        double r180029 = r180027 / r180028;
        double r180030 = r180024 - r180029;
        double r180031 = c;
        double r180032 = r180030 + r180031;
        return r180032;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r180033 = z;
        double r180034 = t;
        double r180035 = r180033 * r180034;
        double r180036 = 16.0;
        double r180037 = r180035 / r180036;
        double r180038 = x;
        double r180039 = y;
        double r180040 = r180038 * r180039;
        double r180041 = r180037 + r180040;
        double r180042 = a;
        double r180043 = b;
        double r180044 = r180042 * r180043;
        double r180045 = 4.0;
        double r180046 = r180044 / r180045;
        double r180047 = r180041 - r180046;
        double r180048 = c;
        double r180049 = r180047 + r180048;
        return r180049;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

  2. Final simplification0.1

    \[\leadsto \left(\left(\frac{z \cdot t}{16} + x \cdot y\right) - \frac{a \cdot b}{4}\right) + c\]

Reproduce

herbie shell --seed 2019195 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))