Average Error: 0.1 → 0.1
Time: 2.2s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\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
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r180021 = x;
        double r180022 = y;
        double r180023 = r180021 * r180022;
        double r180024 = z;
        double r180025 = t;
        double r180026 = r180024 * r180025;
        double r180027 = 16.0;
        double r180028 = r180026 / r180027;
        double r180029 = r180023 + r180028;
        double r180030 = a;
        double r180031 = b;
        double r180032 = r180030 * r180031;
        double r180033 = 4.0;
        double r180034 = r180032 / r180033;
        double r180035 = r180029 - r180034;
        double r180036 = c;
        double r180037 = r180035 + r180036;
        return r180037;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r180038 = x;
        double r180039 = y;
        double r180040 = r180038 * r180039;
        double r180041 = z;
        double r180042 = t;
        double r180043 = r180041 * r180042;
        double r180044 = 16.0;
        double r180045 = r180043 / r180044;
        double r180046 = r180040 + r180045;
        double r180047 = a;
        double r180048 = b;
        double r180049 = r180047 * r180048;
        double r180050 = 4.0;
        double r180051 = r180049 / r180050;
        double r180052 = r180046 - r180051;
        double r180053 = c;
        double r180054 = r180052 + r180053;
        return r180054;
}

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

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

Reproduce

herbie shell --seed 2019356 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  :precision binary64
  (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c))