Average Error: 0.0 → 0.2
Time: 18.1s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r41172 = x;
        double r41173 = y;
        double r41174 = 1.0;
        double r41175 = r41173 - r41174;
        double r41176 = z;
        double r41177 = r41175 * r41176;
        double r41178 = r41172 - r41177;
        double r41179 = t;
        double r41180 = r41179 - r41174;
        double r41181 = a;
        double r41182 = r41180 * r41181;
        double r41183 = r41178 - r41182;
        double r41184 = r41173 + r41179;
        double r41185 = 2.0;
        double r41186 = r41184 - r41185;
        double r41187 = b;
        double r41188 = r41186 * r41187;
        double r41189 = r41183 + r41188;
        return r41189;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r41190 = x;
        double r41191 = y;
        double r41192 = 1.0;
        double r41193 = r41191 - r41192;
        double r41194 = cbrt(r41193);
        double r41195 = r41194 * r41194;
        double r41196 = z;
        double r41197 = r41194 * r41196;
        double r41198 = r41195 * r41197;
        double r41199 = r41190 - r41198;
        double r41200 = t;
        double r41201 = r41200 - r41192;
        double r41202 = a;
        double r41203 = r41201 * r41202;
        double r41204 = r41199 - r41203;
        double r41205 = r41191 + r41200;
        double r41206 = 2.0;
        double r41207 = r41205 - r41206;
        double r41208 = b;
        double r41209 = r41207 * r41208;
        double r41210 = r41204 + r41209;
        return r41210;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \sqrt[3]{y - 1}\right)} \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))