Average Error: 0.0 → 0.2
Time: 6.3s
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 r52228 = x;
        double r52229 = y;
        double r52230 = 1.0;
        double r52231 = r52229 - r52230;
        double r52232 = z;
        double r52233 = r52231 * r52232;
        double r52234 = r52228 - r52233;
        double r52235 = t;
        double r52236 = r52235 - r52230;
        double r52237 = a;
        double r52238 = r52236 * r52237;
        double r52239 = r52234 - r52238;
        double r52240 = r52229 + r52235;
        double r52241 = 2.0;
        double r52242 = r52240 - r52241;
        double r52243 = b;
        double r52244 = r52242 * r52243;
        double r52245 = r52239 + r52244;
        return r52245;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r52246 = x;
        double r52247 = y;
        double r52248 = 1.0;
        double r52249 = r52247 - r52248;
        double r52250 = z;
        double r52251 = r52249 * r52250;
        double r52252 = r52246 - r52251;
        double r52253 = t;
        double r52254 = r52253 - r52248;
        double r52255 = cbrt(r52254);
        double r52256 = r52255 * r52255;
        double r52257 = a;
        double r52258 = r52255 * r52257;
        double r52259 = r52256 * r52258;
        double r52260 = r52252 - r52259;
        double r52261 = r52247 + r52253;
        double r52262 = 2.0;
        double r52263 = r52261 - r52262;
        double r52264 = b;
        double r52265 = r52263 * r52264;
        double r52266 = r52260 + r52265;
        return r52266;
}

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 2020035 
(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)))