Average Error: 0.1 → 0.1
Time: 1.4m
Precision: 64
\[\left(\left(x \cdot \log y - y\right) - z\right) + \log t\]
↓
\[\log t + \left(\left(x \cdot \log y - y\right) - z\right)\]
\left(\left(x \cdot \log y - y\right) - z\right) + \log t
↓
\log t + \left(\left(x \cdot \log y - y\right) - z\right)
double f(double x, double y, double z, double t) {
        double r5627333 = x;
        double r5627334 = y;
        double r5627335 = log(r5627334);
        double r5627336 = r5627333 * r5627335;
        double r5627337 = r5627336 - r5627334;
        double r5627338 = z;
        double r5627339 = r5627337 - r5627338;
        double r5627340 = t;
        double r5627341 = log(r5627340);
        double r5627342 = r5627339 + r5627341;
        return r5627342;
}
↓
double f(double x, double y, double z, double t) {
        double r5627343 = t;
        double r5627344 = log(r5627343);
        double r5627345 = x;
        double r5627346 = y;
        double r5627347 = log(r5627346);
        double r5627348 = r5627345 * r5627347;
        double r5627349 = r5627348 - r5627346;
        double r5627350 = z;
        double r5627351 = r5627349 - r5627350;
        double r5627352 = r5627344 + r5627351;
        return r5627352;
}

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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A"
  (+ (- (- (* x (log y)) y) z) (log t)))