Average Error: 29.5 → 29.5
Time: 13.7s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\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 + 27464.764470499998\right) \cdot y + 230661.510616000014\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 r75075 = x;
        double r75076 = y;
        double r75077 = r75075 * r75076;
        double r75078 = z;
        double r75079 = r75077 + r75078;
        double r75080 = r75079 * r75076;
        double r75081 = 27464.7644705;
        double r75082 = r75080 + r75081;
        double r75083 = r75082 * r75076;
        double r75084 = 230661.510616;
        double r75085 = r75083 + r75084;
        double r75086 = r75085 * r75076;
        double r75087 = t;
        double r75088 = r75086 + r75087;
        double r75089 = a;
        double r75090 = r75076 + r75089;
        double r75091 = r75090 * r75076;
        double r75092 = b;
        double r75093 = r75091 + r75092;
        double r75094 = r75093 * r75076;
        double r75095 = c;
        double r75096 = r75094 + r75095;
        double r75097 = r75096 * r75076;
        double r75098 = i;
        double r75099 = r75097 + r75098;
        double r75100 = r75088 / r75099;
        return r75100;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r75101 = x;
        double r75102 = y;
        double r75103 = r75101 * r75102;
        double r75104 = z;
        double r75105 = r75103 + r75104;
        double r75106 = r75105 * r75102;
        double r75107 = 27464.7644705;
        double r75108 = r75106 + r75107;
        double r75109 = r75108 * r75102;
        double r75110 = 230661.510616;
        double r75111 = r75109 + r75110;
        double r75112 = r75111 * r75102;
        double r75113 = t;
        double r75114 = r75112 + r75113;
        double r75115 = a;
        double r75116 = r75102 + r75115;
        double r75117 = r75116 * r75102;
        double r75118 = b;
        double r75119 = r75117 + r75118;
        double r75120 = r75119 * r75102;
        double r75121 = c;
        double r75122 = r75120 + r75121;
        double r75123 = r75122 * r75102;
        double r75124 = i;
        double r75125 = r75123 + r75124;
        double r75126 = r75114 / r75125;
        return r75126;
}

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 29.5

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

  2. Final simplification29.5

    \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(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) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))