Average Error: 0.0 → 0.2
Time: 19.5s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\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(y - 1\right) \cdot z\right) - \left(\sqrt[3]{t - 1} \cdot \sqrt[3]{t - 1}\right) \cdot \left(\sqrt[3]{t - 1} \cdot a\right)\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 r38232 = x;
        double r38233 = y;
        double r38234 = 1.0;
        double r38235 = r38233 - r38234;
        double r38236 = z;
        double r38237 = r38235 * r38236;
        double r38238 = r38232 - r38237;
        double r38239 = t;
        double r38240 = r38239 - r38234;
        double r38241 = a;
        double r38242 = r38240 * r38241;
        double r38243 = r38238 - r38242;
        double r38244 = r38233 + r38239;
        double r38245 = 2.0;
        double r38246 = r38244 - r38245;
        double r38247 = b;
        double r38248 = r38246 * r38247;
        double r38249 = r38243 + r38248;
        return r38249;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r38250 = x;
        double r38251 = y;
        double r38252 = 1.0;
        double r38253 = r38251 - r38252;
        double r38254 = z;
        double r38255 = r38253 * r38254;
        double r38256 = r38250 - r38255;
        double r38257 = t;
        double r38258 = r38257 - r38252;
        double r38259 = cbrt(r38258);
        double r38260 = r38259 * r38259;
        double r38261 = a;
        double r38262 = r38259 * r38261;
        double r38263 = r38260 * r38262;
        double r38264 = r38256 - r38263;
        double r38265 = r38251 + r38257;
        double r38266 = 2.0;
        double r38267 = r38265 - r38266;
        double r38268 = b;
        double r38269 = r38267 * r38268;
        double r38270 = r38264 + r38269;
        return r38270;
}

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

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

  4. Applied associate-*l*0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019325 
(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)))