Average Error: 28.9 → 28.9
Time: 24.6s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
↓
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r63463 = x;
        double r63464 = y;
        double r63465 = r63463 * r63464;
        double r63466 = z;
        double r63467 = r63465 + r63466;
        double r63468 = r63467 * r63464;
        double r63469 = 27464.7644705;
        double r63470 = r63468 + r63469;
        double r63471 = r63470 * r63464;
        double r63472 = 230661.510616;
        double r63473 = r63471 + r63472;
        double r63474 = r63473 * r63464;
        double r63475 = t;
        double r63476 = r63474 + r63475;
        double r63477 = a;
        double r63478 = r63464 + r63477;
        double r63479 = r63478 * r63464;
        double r63480 = b;
        double r63481 = r63479 + r63480;
        double r63482 = r63481 * r63464;
        double r63483 = c;
        double r63484 = r63482 + r63483;
        double r63485 = r63484 * r63464;
        double r63486 = i;
        double r63487 = r63485 + r63486;
        double r63488 = r63476 / r63487;
        return r63488;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r63489 = x;
        double r63490 = y;
        double r63491 = r63489 * r63490;
        double r63492 = z;
        double r63493 = r63491 + r63492;
        double r63494 = r63493 * r63490;
        double r63495 = 27464.7644705;
        double r63496 = r63494 + r63495;
        double r63497 = r63496 * r63490;
        double r63498 = 230661.510616;
        double r63499 = r63497 + r63498;
        double r63500 = r63499 * r63490;
        double r63501 = t;
        double r63502 = r63500 + r63501;
        double r63503 = a;
        double r63504 = r63490 + r63503;
        double r63505 = r63504 * r63490;
        double r63506 = b;
        double r63507 = r63505 + r63506;
        double r63508 = r63507 * r63490;
        double r63509 = c;
        double r63510 = r63508 + r63509;
        double r63511 = r63510 * r63490;
        double r63512 = i;
        double r63513 = r63511 + r63512;
        double r63514 = r63502 / r63513;
        return r63514;
}

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

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 28.9

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

  2. Final simplification28.9

    \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

Reproduce

herbie shell --seed 2019298 
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  :precision binary64
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.764470499998) y) 230661.510616000014) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))