Average Error: 0.0 → 0.3
Time: 19.5s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \sqrt[3]{\left(t - 1\right) \cdot a} \cdot \left(\left(\sqrt[3]{a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right) \cdot \sqrt[3]{t - 1}\right)\right) + \left(\left(t + y\right) - 2\right) \cdot b\]
\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) - \sqrt[3]{\left(t - 1\right) \cdot a} \cdot \left(\left(\sqrt[3]{a} \cdot \sqrt[3]{\left(t - 1\right) \cdot a}\right) \cdot \sqrt[3]{t - 1}\right)\right) + \left(\left(t + y\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r2587311 = x;
        double r2587312 = y;
        double r2587313 = 1.0;
        double r2587314 = r2587312 - r2587313;
        double r2587315 = z;
        double r2587316 = r2587314 * r2587315;
        double r2587317 = r2587311 - r2587316;
        double r2587318 = t;
        double r2587319 = r2587318 - r2587313;
        double r2587320 = a;
        double r2587321 = r2587319 * r2587320;
        double r2587322 = r2587317 - r2587321;
        double r2587323 = r2587312 + r2587318;
        double r2587324 = 2.0;
        double r2587325 = r2587323 - r2587324;
        double r2587326 = b;
        double r2587327 = r2587325 * r2587326;
        double r2587328 = r2587322 + r2587327;
        return r2587328;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r2587329 = x;
        double r2587330 = y;
        double r2587331 = 1.0;
        double r2587332 = r2587330 - r2587331;
        double r2587333 = z;
        double r2587334 = r2587332 * r2587333;
        double r2587335 = r2587329 - r2587334;
        double r2587336 = t;
        double r2587337 = r2587336 - r2587331;
        double r2587338 = a;
        double r2587339 = r2587337 * r2587338;
        double r2587340 = cbrt(r2587339);
        double r2587341 = cbrt(r2587338);
        double r2587342 = r2587341 * r2587340;
        double r2587343 = cbrt(r2587337);
        double r2587344 = r2587342 * r2587343;
        double r2587345 = r2587340 * r2587344;
        double r2587346 = r2587335 - r2587345;
        double r2587347 = r2587336 + r2587330;
        double r2587348 = 2.0;
        double r2587349 = r2587347 - r2587348;
        double r2587350 = b;
        double r2587351 = r2587349 * r2587350;
        double r2587352 = r2587346 + r2587351;
        return r2587352;
}

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-cbrt0.4

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

  5. Applied cbrt-prod0.3

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

  6. Applied associate-*l*0.3

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

  7. Final simplification0.3

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))