Average Error: 0.1 → 0.1
Time: 6.5s
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 r100195 = x;
        double r100196 = y;
        double r100197 = log(r100196);
        double r100198 = r100195 * r100197;
        double r100199 = r100198 - r100196;
        double r100200 = z;
        double r100201 = r100199 - r100200;
        double r100202 = t;
        double r100203 = log(r100202);
        double r100204 = r100201 + r100203;
        return r100204;
}
↓
double f(double x, double y, double z, double t) {
        double r100205 = x;
        double r100206 = y;
        double r100207 = log(r100206);
        double r100208 = r100205 * r100207;
        double r100209 = r100208 - r100206;
        double r100210 = z;
        double r100211 = r100209 - r100210;
        double r100212 = t;
        double r100213 = log(r100212);
        double r100214 = r100211 + r100213;
        return r100214;
}

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 2020036 
(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)))