Average Error: 0.1 → 0.1
Time: 24.3s
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 r206625 = x;
        double r206626 = y;
        double r206627 = r206625 * r206626;
        double r206628 = z;
        double r206629 = t;
        double r206630 = r206628 * r206629;
        double r206631 = 16.0;
        double r206632 = r206630 / r206631;
        double r206633 = r206627 + r206632;
        double r206634 = a;
        double r206635 = b;
        double r206636 = r206634 * r206635;
        double r206637 = 4.0;
        double r206638 = r206636 / r206637;
        double r206639 = r206633 - r206638;
        double r206640 = c;
        double r206641 = r206639 + r206640;
        return r206641;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r206642 = x;
        double r206643 = y;
        double r206644 = r206642 * r206643;
        double r206645 = z;
        double r206646 = t;
        double r206647 = r206645 * r206646;
        double r206648 = 16.0;
        double r206649 = r206647 / r206648;
        double r206650 = r206644 + r206649;
        double r206651 = a;
        double r206652 = b;
        double r206653 = r206651 * r206652;
        double r206654 = 4.0;
        double r206655 = r206653 / r206654;
        double r206656 = r206650 - r206655;
        double r206657 = c;
        double r206658 = r206656 + r206657;
        return r206658;
}

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))