Average Error: 0.1 → 0.1
Time: 27.4s
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 r10664133 = x;
        double r10664134 = y;
        double r10664135 = r10664133 * r10664134;
        double r10664136 = z;
        double r10664137 = t;
        double r10664138 = r10664136 * r10664137;
        double r10664139 = 16.0;
        double r10664140 = r10664138 / r10664139;
        double r10664141 = r10664135 + r10664140;
        double r10664142 = a;
        double r10664143 = b;
        double r10664144 = r10664142 * r10664143;
        double r10664145 = 4.0;
        double r10664146 = r10664144 / r10664145;
        double r10664147 = r10664141 - r10664146;
        double r10664148 = c;
        double r10664149 = r10664147 + r10664148;
        return r10664149;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r10664150 = z;
        double r10664151 = t;
        double r10664152 = r10664150 * r10664151;
        double r10664153 = 16.0;
        double r10664154 = r10664152 / r10664153;
        double r10664155 = x;
        double r10664156 = y;
        double r10664157 = r10664155 * r10664156;
        double r10664158 = r10664154 + r10664157;
        double r10664159 = a;
        double r10664160 = b;
        double r10664161 = r10664159 * r10664160;
        double r10664162 = 4.0;
        double r10664163 = r10664161 / r10664162;
        double r10664164 = r10664158 - r10664163;
        double r10664165 = c;
        double r10664166 = r10664164 + r10664165;
        return r10664166;
}

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 2019172 
(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))