Average Error: 0.1 → 0.1
Time: 23.6s
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 r158107 = x;
        double r158108 = y;
        double r158109 = r158107 * r158108;
        double r158110 = z;
        double r158111 = t;
        double r158112 = r158110 * r158111;
        double r158113 = 16.0;
        double r158114 = r158112 / r158113;
        double r158115 = r158109 + r158114;
        double r158116 = a;
        double r158117 = b;
        double r158118 = r158116 * r158117;
        double r158119 = 4.0;
        double r158120 = r158118 / r158119;
        double r158121 = r158115 - r158120;
        double r158122 = c;
        double r158123 = r158121 + r158122;
        return r158123;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r158124 = x;
        double r158125 = y;
        double r158126 = r158124 * r158125;
        double r158127 = z;
        double r158128 = t;
        double r158129 = r158127 * r158128;
        double r158130 = 16.0;
        double r158131 = r158129 / r158130;
        double r158132 = r158126 + r158131;
        double r158133 = a;
        double r158134 = b;
        double r158135 = r158133 * r158134;
        double r158136 = 4.0;
        double r158137 = r158135 / r158136;
        double r158138 = r158132 - r158137;
        double r158139 = c;
        double r158140 = r158138 + r158139;
        return r158140;
}

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 2019323 
(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))