Average Error: 0.1 → 0.1
Time: 12.9s
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 r189103 = x;
        double r189104 = y;
        double r189105 = r189103 * r189104;
        double r189106 = z;
        double r189107 = t;
        double r189108 = r189106 * r189107;
        double r189109 = 16.0;
        double r189110 = r189108 / r189109;
        double r189111 = r189105 + r189110;
        double r189112 = a;
        double r189113 = b;
        double r189114 = r189112 * r189113;
        double r189115 = 4.0;
        double r189116 = r189114 / r189115;
        double r189117 = r189111 - r189116;
        double r189118 = c;
        double r189119 = r189117 + r189118;
        return r189119;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r189120 = x;
        double r189121 = y;
        double r189122 = r189120 * r189121;
        double r189123 = z;
        double r189124 = t;
        double r189125 = r189123 * r189124;
        double r189126 = 16.0;
        double r189127 = r189125 / r189126;
        double r189128 = r189122 + r189127;
        double r189129 = a;
        double r189130 = b;
        double r189131 = r189129 * r189130;
        double r189132 = 4.0;
        double r189133 = r189131 / r189132;
        double r189134 = r189128 - r189133;
        double r189135 = c;
        double r189136 = r189134 + r189135;
        return r189136;
}

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 2019308 
(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))