Average Error: 0.1 → 0.1
Time: 13.3s
Precision: 64
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
↓
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
↓
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
double f(double x, double y, double z, double t) {
        double r112596 = x;
        double r112597 = y;
        double r112598 = log(r112597);
        double r112599 = r112596 * r112598;
        double r112600 = r112599 - r112597;
        double r112601 = z;
        double r112602 = r112600 - r112601;
        double r112603 = t;
        double r112604 = log(r112603);
        double r112605 = r112602 + r112604;
        return r112605;
}
↓
double f(double x, double y, double z, double t) {
        double r112606 = x;
        double r112607 = y;
        double r112608 = log(r112607);
        double r112609 = r112606 * r112608;
        double r112610 = r112609 - r112607;
        double r112611 = z;
        double r112612 = r112610 - r112611;
        double r112613 = t;
        double r112614 = log(r112613);
        double r112615 = r112612 + r112614;
        return r112615;
}

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 0.1

    \[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x \cdot \log y - y\right) - z\right) + \log t\]

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (- (* x (log y)) y) z) (log t)))