Average Error: 0.6 → 0.6
Time: 21.3s
Precision: 64
\[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1.0 - \frac{x}{\left(y - t\right) \cdot \left(y - z\right)}\]
1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1.0 - \frac{x}{\left(y - t\right) \cdot \left(y - z\right)}
double f(double x, double y, double z, double t) {
        double r11137102 = 1.0;
        double r11137103 = x;
        double r11137104 = y;
        double r11137105 = z;
        double r11137106 = r11137104 - r11137105;
        double r11137107 = t;
        double r11137108 = r11137104 - r11137107;
        double r11137109 = r11137106 * r11137108;
        double r11137110 = r11137103 / r11137109;
        double r11137111 = r11137102 - r11137110;
        return r11137111;
}
↓
double f(double x, double y, double z, double t) {
        double r11137112 = 1.0;
        double r11137113 = x;
        double r11137114 = y;
        double r11137115 = t;
        double r11137116 = r11137114 - r11137115;
        double r11137117 = z;
        double r11137118 = r11137114 - r11137117;
        double r11137119 = r11137116 * r11137118;
        double r11137120 = r11137113 / r11137119;
        double r11137121 = r11137112 - r11137120;
        return r11137121;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.6

    \[1.0 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]

  2. Final simplification0.6

    \[\leadsto 1.0 - \frac{x}{\left(y - t\right) \cdot \left(y - z\right)}\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  (- 1.0 (/ x (* (- y z) (- y t)))))