Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(\left(\left(y + t\right) - 2\right) \cdot b - \left(y - 1\right) \cdot z\right) + \left(-\left(t - 1\right)\right) \cdot a\right) + x\]
\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(\left(\left(y + t\right) - 2\right) \cdot b - \left(y - 1\right) \cdot z\right) + \left(-\left(t - 1\right)\right) \cdot a\right) + x
double f(double x, double y, double z, double t, double a, double b) {
        double r44217 = x;
        double r44218 = y;
        double r44219 = 1.0;
        double r44220 = r44218 - r44219;
        double r44221 = z;
        double r44222 = r44220 * r44221;
        double r44223 = r44217 - r44222;
        double r44224 = t;
        double r44225 = r44224 - r44219;
        double r44226 = a;
        double r44227 = r44225 * r44226;
        double r44228 = r44223 - r44227;
        double r44229 = r44218 + r44224;
        double r44230 = 2.0;
        double r44231 = r44229 - r44230;
        double r44232 = b;
        double r44233 = r44231 * r44232;
        double r44234 = r44228 + r44233;
        return r44234;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r44235 = y;
        double r44236 = t;
        double r44237 = r44235 + r44236;
        double r44238 = 2.0;
        double r44239 = r44237 - r44238;
        double r44240 = b;
        double r44241 = r44239 * r44240;
        double r44242 = 1.0;
        double r44243 = r44235 - r44242;
        double r44244 = z;
        double r44245 = r44243 * r44244;
        double r44246 = r44241 - r44245;
        double r44247 = r44236 - r44242;
        double r44248 = -r44247;
        double r44249 = a;
        double r44250 = r44248 * r44249;
        double r44251 = r44246 + r44250;
        double r44252 = x;
        double r44253 = r44251 + r44252;
        return r44253;
}

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 simplification0.0

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

Reproduce

herbie shell --seed 2019304 
(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)))